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area of a parallelogram worksheet pdf: Middle School Math with Pizzazz!: E. Ratio and proportion; Percent; Statistics and graphs; Probability; Integers; Coordinate graphing; Equations Steve Marcy, 1989 |
area of a parallelogram worksheet pdf: Routines for Reasoning Grace Kelemanik, Amy Lucenta, Susan Janssen Creighton, 2016 Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher. |
area of a parallelogram worksheet pdf: 411 SAT Algebra and Geometry Questions , 2006 In order to align the SAT with the math curriculum taught in high schools, the SAT exam has been expanded to include Algebra II materials. 411 SAT Algebra and Geometry Questions is created to offer you a rigorous preparation for this vital section. If you are planning to take the SAT and need extra practice and a more in-depth review of the Math section, here's everything you need to get started. 411 SAT Algebra and Geometry Questions is an imperative study tool tailored to help you achieve your full test-taking potential. The most common math skills that you will encounter on the math portion of the SAT are covered in this book. Increase your algebra and geometry skills with proven techniques and test your grasp of these techniques as you complete 411 practice questions, including a pre- and posttest. Follow up by reviewing our comprehensive answer explanations, which will help measure your overall improvement. The questions are progressively more difficult as you work through each set. If you can handle the last question on each set, you are ready for the SAT! Book jacket. |
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area of a parallelogram worksheet pdf: Challenging Problems in Geometry Alfred S. Posamentier, Charles T. Salkind, 2012-04-30 Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions. |
area of a parallelogram worksheet pdf: Math Makes Sense 5: v.2. Math makes sense 5 practice and homework book, teacher's edition Ray Appel, Peggy Morrow, Maggie Martin Connell, Pearson Education Canada, 2010 |
area of a parallelogram worksheet pdf: Introduction to Applied Linear Algebra Stephen Boyd, Lieven Vandenberghe, 2018-06-07 A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples. |
area of a parallelogram worksheet pdf: Advanced Calculus (Revised Edition) Lynn Harold Loomis, Shlomo Zvi Sternberg, 2014-02-26 An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds. |
area of a parallelogram worksheet pdf: Elementary College Geometry Henry Africk, 2004 |
area of a parallelogram worksheet pdf: Elementary Geometry for College Students Daniel C. Alexander, Geralyn M. Koeberlein, 1999 |
area of a parallelogram worksheet pdf: Machine Proofs in Geometry Shang-Ching Chou, Xiao-Shan Gao, Jingzhong Zhang, 1994 This book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing the method at an elementary level, which are accessible to high school students; latter chapters concentrate on the main theme: the algorithms and computer implementation of the method.This book brings researchers in artificial intelligence, computer science and mathematics to a new research frontier of automated geometry reasoning. In addition, it can be used as a supplementary geometry textbook for students, teachers and geometers. By presenting a systematic way of proving geometry theorems, it makes the learning and teaching of geometry easier and may change the way of geometry education. |
area of a parallelogram worksheet pdf: Partial Differential Equations Walter A. Strauss, 2007-12-21 Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics. |
area of a parallelogram worksheet pdf: New General Mathematics for Junior Secondary Schools Murray Macrae, A. O. Kalejaiye, Z. I. Chima, G. U. Gaba, M. O. Ademosu, 2008-06-03 This well-established series, the most popular in Nigeria, has been fully revised to reflect recent developments in mathematics education at junior secondary level and the views of the many users of the books. It has expecially been revised to fully cover the requirements of the new NERDC Universal Basic Education Curriculum. |
area of a parallelogram worksheet pdf: The Circle Dave Eggers, 2013-10-08 INTERNATIONAL BESTSELLER • A bestselling dystopian novel that tackles surveillance, privacy and the frightening intrusions of technology in our lives—a “compulsively readable parable for the 21st century” (Vanity Fair). When Mae Holland is hired to work for the Circle, the world’s most powerful internet company, she feels she’s been given the opportunity of a lifetime. The Circle, run out of a sprawling California campus, links users’ personal emails, social media, banking, and purchasing with their universal operating system, resulting in one online identity and a new age of civility and transparency. As Mae tours the open-plan office spaces, the towering glass dining facilities, the cozy dorms for those who spend nights at work, she is thrilled with the company’s modernity and activity. There are parties that last through the night, there are famous musicians playing on the lawn, there are athletic activities and clubs and brunches, and even an aquarium of rare fish retrieved from the Marianas Trench by the CEO. Mae can’t believe her luck, her great fortune to work for the most influential company in the world—even as life beyond the campus grows distant, even as a strange encounter with a colleague leaves her shaken, even as her role at the Circle becomes increasingly public. What begins as the captivating story of one woman’s ambition and idealism soon becomes a heart-racing novel of suspense, raising questions about memory, history, privacy, democracy, and the limits of human knowledge. |
area of a parallelogram worksheet pdf: Mirror Symmetry Kentaro Hori, 2003 This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics. |
area of a parallelogram worksheet pdf: Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World Sir Isaac Newton, 2023-11-15 This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1934. |
area of a parallelogram worksheet pdf: Intro to Geometry Mary Lee Vivian, Tammy Bohn-Voepel, Margaret Thomas, 2003 A top-selling teacher resource line The 100+ Series(TM) features over 100 reproducible activities in each book! Intro to Geometry links all the activities to the NCTM Standards and is designed to provide students with practice in the skill areas required |
area of a parallelogram worksheet pdf: Exercises And Problems In Linear Algebra John M Erdman, 2020-09-28 This book contains an extensive collection of exercises and problems that address relevant topics in linear algebra. Topics that the author finds missing or inadequately covered in most existing books are also included. The exercises will be both interesting and helpful to an average student. Some are fairly routine calculations, while others require serious thought.The format of the questions makes them suitable for teachers to use in quizzes and assigned homework. Some of the problems may provide excellent topics for presentation and discussions. Furthermore, answers are given for all odd-numbered exercises which will be extremely useful for self-directed learners. In each chapter, there is a short background section which includes important definitions and statements of theorems to provide context for the following exercises and problems. |
area of a parallelogram worksheet pdf: Helping Children Learn Mathematics National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Mathematics Learning Study Committee, 2002-07-31 Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society. |
area of a parallelogram worksheet pdf: Designing Patterns Daniel Lynn Watt, 2006 In this module designed for grades three to five, students design patterns to be used in a headdress or similar linear strip. They explore properties of shapes, lines of symmetry, and part-to-part and part-to-whole relationships. The module provides numerous opportunities for the teacher to extend and adapt this curriculum, from further explorations of fractions to Yup?ik cultural knowledge. About the Series Math in a Cultural Context This series is a supplemental math curriculum based on the traditional wisdom and practices of the Yup?ik people of southwest Alaska. The result of more than a decade of collaboration between math educators and Yup?ik elders, these modules connect cultural knowledge to school mathematics. Students are challenged to communicate and think mathematically as they solve inquiry-oriented problems, which require creative, practical and analytical thinking. Classroom-based research strongly suggests that students engaged in this curriculum can develop deeper mathematical understandings than students who engage only with a procedure-oriented, paper-and-pencil curriculum. |
area of a parallelogram worksheet pdf: Microsoft Project 2016 Step by Step Carl Chatfield, Timothy Johnson, 2016-04-08 The quick way to learn Microsoft Project 2016! This is learning made easy. Get more done quickly with Project 2016. Jump in wherever you need answers–brisk lessons and colorful screenshots show you exactly what to do, step by step. Quickly start a new plan, build task lists, and assign resources Share your plan and track your progress Capture and fine-tune work and cost details Use Gantt charts and other views and reports to visualize project schedules Share resources across multiple plans and consolidate projects Master project management best practices while you learn Project Look up just the tasks and lessons you need |
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area of a parallelogram worksheet pdf: Introduction to Sports Biomechanics Roger Bartlett, 2002-04-12 First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company. |
area of a parallelogram worksheet pdf: A Mathematical Introduction to Robotic Manipulation Richard M. Murray, 2017-12-14 A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motion and allows a large class of robotic manipulation problems to be analyzed within a unified framework. The foundation of the book is a derivation of robot kinematics using the product of the exponentials formula. The authors explore the kinematics of open-chain manipulators and multifingered robot hands, present an analysis of the dynamics and control of robot systems, discuss the specification and control of internal forces and internal motions, and address the implications of the nonholonomic nature of rolling contact are addressed, as well. The wealth of information, numerous examples, and exercises make A Mathematical Introduction to Robotic Manipulation valuable as both a reference for robotics researchers and a text for students in advanced robotics courses. |
area of a parallelogram worksheet pdf: Estimating Excavation Deryl Burch, 1997 This manual shows you, in simple, easy -to-understand language, how to calculate the amount of dirt you'll have to move, the cost of owning and operating the machines you'll do it with, and finally, how to assign bid prices to each part of the job. Using clear, detailed illustrations and examples, the author makes it easy to follow and duplicate his system. The book ends with a complete sample estimate, from the take-off to completing the bid sheet.Included in this book: -- How to set up & use an organized & logical estimating system -- How to read plans & specs -- Why a site visit is mandatory -- How to assess accessibility & job difficulty -- How soil haracteristics can affect your estimate -- The best ways to evaluate subsurface conditions -- Figuring your overhead -- How to get the information you need from contour maps -- When you have to undercut -- Dealing with irregular regions and odd areas -- Factors for estimating swell and shrinkage -- Balancing the job: spoil & borrow -- Calculating machine owning & operating costs -- The two common methods of estimating earthwork quantities |
area of a parallelogram worksheet pdf: Grade 4 Word Problems Kumon Publishing, 2009 Kumon's Word Problems Workbooks develop the skills necessary for children's success using math inside and outside the classroom. Our unique step-by-step progression introduces children to a wide variety of word problems that inspire critical thinking. Grade 4 Word Problems focuses on word problems that cover the following topics Division Decimals Using Formulas Mixed Calculations Tables and Graphs |
area of a parallelogram worksheet pdf: Discovering Geometry Michael Serra, Key Curriculum Press Staff, 2003-03-01 |
area of a parallelogram worksheet pdf: Math Makes Sense 7 Ray Appel, 2016 |
area of a parallelogram worksheet pdf: Euclid's Elements Euclid, Dana Densmore, 2002 The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary --from book jacket. |
area of a parallelogram worksheet pdf: Speech & Language Processing Dan Jurafsky, 2000-09 |
area of a parallelogram worksheet pdf: PSAT 8/9 Prep 2020-2021: PSAT 8/9 Prep 2020 and 2021 with Practice Test Questions [2nd Edition] Test Prep Books, 2020-01-21 PSAT 8/9 Prep 2020-2021: PSAT 8/9 Prep 2020 and 2021 with Practice Test Questions [2nd Edition] Developed by Test Prep Books for test takers trying to achieve a passing score on the PSAT exam, this comprehensive study guide includes: -Quick Overview -Test-Taking Strategies -Introduction -Reading Test -Writing and Language Test -Math Test -Practice Questions -Detailed Answer Explanations Disclaimer: PSAT/NMSQT(R) is a trademark registered by the College Board and the National Merit Scholarship Corporation, which are not affiliated with, and do not endorse, this product. Each section of the test has a comprehensive review created by Test Prep Books that goes into detail to cover all of the content likely to appear on the PSAT test. The Test Prep Books PSAT practice test questions are each followed by detailed answer explanations. If you miss a question, it's important that you are able to understand the nature of your mistake and how to avoid making it again in the future. The answer explanations will help you to learn from your mistakes and overcome them. Understanding the latest test-taking strategies is essential to preparing you for what you will expect on the exam. A test taker has to not only understand the material that is being covered on the test, but also must be familiar with the strategies that are necessary to properly utilize the time provided and get through the test without making any avoidable errors. Test Prep Books has drilled down the top test-taking tips for you to know. Anyone planning to take this exam should take advantage of the PSAT study guide review material, practice test questions, and test-taking strategies contained in this Test Prep Books study guide. |
area of a parallelogram worksheet pdf: Patterns and Parkas Sandi Pendergrast, 2007 Grade two students learn about the properties of shapes including squares, rectangles, triangles, and parallelograms. They learn a variety of ways to make those shapes and how Yup'ik elders use these shapes to create patterns. As the students make shapes, they learn about geometrical relationships, symmetry, congruence, proofs and measuring. Students connect learning in the community to learning in school. About the Series Math in a Cultural Context This series is a supplemental math curriculum based on the traditional wisdom and practices of the Yup'ik people of southwest Alaska. The result of more than a decade of collaboration between math educators and Yup'ik elders, these modules connect cultural knowledge to school mathematics. Students are challenged to communicate and think mathematically as they solve inquiry-oriented problems, which require creative, practical and analytical thinking. Classroom-based research strongly suggests that students engaged in this curriculum can develop deeper mathematical understandings than students who engage only with a procedure-oriented, paper-and-pencil curriculum. |
area of a parallelogram worksheet pdf: MATH 221 FIRST Semester Calculus Sigurd Angenent, 2014-11-26 MATH 221 FIRST Semester CalculusBy Sigurd Angenent |
area of a parallelogram worksheet pdf: Mathematics: Applications and Connections, Course 1, Student Edition McGraw-Hill Education, 2000-06 Print student edition |
area of a parallelogram worksheet pdf: Building Math Vocabulary Becki Thompson, Missy Reinke, 2009-02 This book fills an important need, providing students with essential practice in using key vocabulary that they often encounter in math.--Pg.4 of cover |
area of a parallelogram worksheet pdf: Discrete Mathematics Oscar Levin, 2016-08-16 This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the introduction to proof course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions. |
area of a parallelogram worksheet pdf: Introduction to Real Analysis William F. Trench, 2003 Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The real number system. Differential calculus of functions of one variable. Riemann integral functions of one variable. Integral calculus of real-valued functions. Metric Spaces. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts. |
area of a parallelogram worksheet pdf: Engineering Electromagnetics William H. Hayt, Jr, |
area of a parallelogram worksheet pdf: Pearl Harbor Attack: Hearings, Nov. 15, 1945-May 31, 1946 United States. Congress. Joint Committee on the Investigation of the Pearl Harbor Attack, 1946 |
area of a parallelogram worksheet pdf: Math Makes Sense Ray Appel, 2008 |
single word requests - What is the name of the area of skin …
Apr 29, 2014 · Lip usually refers to a larger area: Upper lip is everything between the mouth opening and the base of the nose. Lower lip is everything between the mouth opening and the …
single word requests - Area of the body between legs and genitals ...
Aug 18, 2019 · Here is an image in which the area is marked in green: (NSFW, genitals covered). Please note how the 'string' of the taut adductor muscles separates the groin on the front side …
Difference between "at" and "in" when specifying location
Oct 18, 2012 · When talking about location, in is generally used for a larger area where there are numerous specific locations possible. I am in the United States. I am in New York. I am in the …
differences - OUT OF or OUTSIDE my area of responsibility?
Mar 28, 2020 · 1 The matter is out of my area of responsibility. = The matter has been removed from my area of responsibility. 1a The matter is outside my area of responsibility. = My area …
Does "landing" strictly mean the area of the top of a staircase?
In the UK (where Harry Potter is based), the landing is typically known as the area at the top of the staircase that you access the bedrooms from. Landing sizes vary from house to house, …
word choice - "Excel at something" vs. "excel in something"
Jan 2, 2014 · I've come across a question while writing an exam. Roger really excelled ___ sports. A) at B) on C) in D) for . My first thought was 'in', later I remembered using 'at' also.
Difference between "voters", "electorates" and "constituents"
An electorate is a defined geographic area that votes for the outcome of a single seat, or a set of seats. Electorate can also be used to refer to the collection of voters within that area. A sitting …
Correct use of lie or lay in the following context
Jul 30, 2014 · In these phrases the interests or skills are in tangible nouns that we can think of as having 'come to rest' or 'reclining' in an area that they will remain for a while. Therefore the …
What is a word to describe something that belongs exclusively to …
Jan 11, 2017 · native and/or restricted to a particular area or field; characteristic of or prevalent in a particular field, area, or environment; As in personal assistance, belong to, and are …
What is "the flesh under the cheeks & chin, before the neck" called?
Jan 16, 2020 · As excessive skin in this area is sometimes a sign of being overweight, having jowls is not usually desirable, but the latter expression "double-chin" is considered particularly …
single word requests - What is the name of the area of skin …
Apr 29, 2014 · Lip usually refers to a larger area: Upper lip is everything between the mouth opening and the base of the nose. Lower lip is everything between the mouth opening and the …
single word requests - Area of the body between legs and genitals ...
Aug 18, 2019 · Here is an image in which the area is marked in green: (NSFW, genitals covered). Please note how the 'string' of the taut adductor muscles separates the groin on the front side …
Difference between "at" and "in" when specifying location
Oct 18, 2012 · When talking about location, in is generally used for a larger area where there are numerous specific locations possible. I am in the United States. I am in New York. I am in the …
differences - OUT OF or OUTSIDE my area of responsibility?
Mar 28, 2020 · 1 The matter is out of my area of responsibility. = The matter has been removed from my area of responsibility. 1a The matter is outside my area of responsibility. = My area …
Does "landing" strictly mean the area of the top of a staircase?
In the UK (where Harry Potter is based), the landing is typically known as the area at the top of the staircase that you access the bedrooms from. Landing sizes vary from house to house, …
word choice - "Excel at something" vs. "excel in something"
Jan 2, 2014 · I've come across a question while writing an exam. Roger really excelled ___ sports. A) at B) on C) in D) for . My first thought was 'in', later I remembered using 'at' also.
Difference between "voters", "electorates" and "constituents"
An electorate is a defined geographic area that votes for the outcome of a single seat, or a set of seats. Electorate can also be used to refer to the collection of voters within that area. A sitting …
Correct use of lie or lay in the following context
Jul 30, 2014 · In these phrases the interests or skills are in tangible nouns that we can think of as having 'come to rest' or 'reclining' in an area that they will remain for a while. Therefore the …
What is a word to describe something that belongs exclusively to …
Jan 11, 2017 · native and/or restricted to a particular area or field; characteristic of or prevalent in a particular field, area, or environment; As in personal assistance, belong to, and are …
What is "the flesh under the cheeks & chin, before the neck" called?
Jan 16, 2020 · As excessive skin in this area is sometimes a sign of being overweight, having jowls is not usually desirable, but the latter expression "double-chin" is considered particularly …