BuyFind*arrow_forward*

6th Edition

Daniel C. Alexander + 1 other

Publisher: Cengage Learning

ISBN: 9781285195698

Chapter 4.4, Problem 1E

Textbook Problem

Find the measures of the remaining angles of trapezoid ABCD (not shown) if

Elementary Geometry for College Students

Show all chapter solutions

Ch. 4.1 - ABCD is a parallelogram. a Using a ruler, compare...Ch. 4.1 - ABCD is a parallelogram. a Using a ruler, compare...Ch. 4.1 - MNPQ is a parallelogram. Suppose that MQ=5, MN=8,...Ch. 4.1 - MNPQ is a parallelogram. Suppose that MQ=12.7,...Ch. 4.1 - For Exercises 5 to 8, MNPQ is a parallelogram with...Ch. 4.1 - For Exercises 5 to 8, MNPQ is a parallelogram with...Ch. 4.1 - For Exercises 5 to 8, MNPQ is a parallelogram with...Ch. 4.1 - For Exercises 5 to 8, MNPQ is a parallelogram with...Ch. 4.1 - Given that AB=3x+2, BC=4x+1, and CD=5x-2, find the...Ch. 4.1 - Given that mA=2x+3, and mC=3x-27, find the measure...

Ch. 4.1 - Given that mA=2x+3, and mB=3x-23, find the measure...Ch. 4.1 - Given that mA=2x5, and mB=x2, find the measure of...Ch. 4.1 - Given that mA=2x3, and mC=x2+20, find the measure...Ch. 4.1 - Given that mA=2x+y, mB=2x+3y-20, and mC=3x-y+16,...Ch. 4.1 - Assuming that mBmA in , which diagonal AC-orBD-...Ch. 4.1 - Suppose that diagonals AC-andBD- of are drawn and...Ch. 4.1 - In Exercises 17 and 18, consider with VX- RS- and...Ch. 4.1 - In Exercises 17 and 18, consider with VX- RS- and...Ch. 4.1 - In Exercises 19 to 22, classify each statement as...Ch. 4.1 - In Exercises 19 to 22, classify each statement as...Ch. 4.1 - In Exercises 19 to 22, classify each statement as...Ch. 4.1 - In Exercises 19 to 22, classify each statement as...Ch. 4.1 - In quadrilateral RSTV, the midpoints of...Ch. 4.1 - In quadrilateral ABCD, the midpoints of opposite...Ch. 4.1 - Quadrilateral ABCD has AB-DC- and AD-BC-. Using...Ch. 4.1 - Quadrilateral RSTV has RS-TV- and RS-TV-. Using...Ch. 4.1 - In Exercises 27-30, use the definition of a...Ch. 4.1 - In Exercises 27-30, use the definition of a...Ch. 4.1 - In Exercises 27 to 30, use the definition of a...Ch. 4.1 - In Exercises 27-30, use the definition of a...Ch. 4.1 - In Exercises 31 to 34, write a formal proof of...Ch. 4.1 - In Exercises 31 to 34, write a formal proof of...Ch. 4.1 - In Exercises 31 to 34, write a formal proof of...Ch. 4.1 - In Exercises 31 to 34, write a formal proof of...Ch. 4.1 - The bisectors of two consecutive angles of HJKL...Ch. 4.1 - When the bisectors of two consecutive angles of a...Ch. 4.1 - Draw parallelogram RSTV with mR=700 and mS=1100....Ch. 4.1 - Draw parallelogram RSTV so that the diagonals have...Ch. 4.1 - The following problem is based on the...Ch. 4.1 - In the drawing for Exercise 41, the bearing...Ch. 4.1 - Two streets meet to form an obtuse angle at point...Ch. 4.1 - To test the accuracy of the foundations...Ch. 4.1 - For a quadrilateral ABCD, the measures of its...Ch. 4.1 - Prove: In a parallelogram, the sum of the squares...Ch. 4.2 - Note: Exercises preceded by an asterisk are of a...Ch. 4.2 - a As shown, must RSTV be a parallelogram? b With...Ch. 4.2 - In the drawing, suppose that WY and XZ bisect each...Ch. 4.2 - In the drawing, suppose that ZX is the...Ch. 4.2 - A carpenter lays out boards of lengths 8 ft, 8 ft,...Ch. 4.2 - A carpenter joins four boards of lengths 6 ft, 6...Ch. 4.2 - In parallelogram ABCD not shown, AB=8, mB=110, and...Ch. 4.2 - In quadrilateral WXYZ, the measures of selected...Ch. 4.2 - In ABC, M and N are midpoints of AC and BC,...Ch. 4.2 - In ABC, M and N are midpoints of AC and BC,...Ch. 4.2 - In Exercises 11 to14 , assume that X, Y , and Z...Ch. 4.2 - In Exercises 11 to 14, assume that X, Y, and Z are...Ch. 4.2 - In Exercises 11 to 14, assume that X, Y, and Z are...Ch. 4.2 - In Exercises 11 to 14, assume that X, Y, and Z are...Ch. 4.2 - Consider and kite. a Does it have line symmetry?...Ch. 4.2 - Consider any parallelogram. a Does it have line...Ch. 4.2 - For compactness, the drop-down wheels of a...Ch. 4.2 - For compactness, the drop-down legs of an ironing...Ch. 4.2 - In Exercises 19 to 24, complete each proof. Given:...Ch. 4.2 - In Exercises 19 to 24, complete each proof. Given:...Ch. 4.2 - In Exercises 19 to24 , complete each proof. Given:...Ch. 4.2 - In Exercise 19 to24, complete each proof. Given:...Ch. 4.2 - In Exercise 19 to24, complete each proof. Given:...Ch. 4.2 - In Exercise 19 to24, complete each proof. Given:...Ch. 4.2 - In Exercises 25 to 28, write a formal proof of...Ch. 4.2 - In Exercises 25 to 28, write a formal proof of...Ch. 4.2 - In Exercises 25 to 28, write a formal proof of...Ch. 4.2 - In Exercises 25 to 28, write a formal proof of...Ch. 4.2 - In Exercises 29 to 31, M and Nare the midpoints of...Ch. 4.2 - In Exercises 29 to 31, M and Nare the midpoints of...Ch. 4.2 - In Exercises 29 to 31, M and Nare the midpoints of...Ch. 4.2 - For Exercises 32 to 35, consider kite ABCD with...Ch. 4.2 - For Exercises 32 to 35, consider kite ABCD with...Ch. 4.2 - For Exercises 32 to 35, consider kite ABCD with...Ch. 4.2 - For Exercises 32 to 35, consider kite ABCD with...Ch. 4.2 - RSTV is a kite, with RSST and RVVT. If mSTV=40,...Ch. 4.2 - In concave kite ABCD, there is an interior angle...Ch. 4.2 - If the length of side AB for kite ABCD is 6 in.,...Ch. 4.2 - Prove that the segment that joins the midpoints of...Ch. 4.2 - Prove that when the midpoints of consecutive sides...Ch. 4.3 - Being as specific as possible, name the type of...Ch. 4.3 - Being as specific as possible, name the type of...Ch. 4.3 - Being as specific as possible, name the type of...Ch. 4.3 - Being as specific as possible, name the type of...Ch. 4.3 - If the diagonals of a parallelogram are...Ch. 4.3 - If the diagonals of a quadrilateral are...Ch. 4.3 - A line segment joins the midpoints of two opposite...Ch. 4.3 - In Exercises 8 to 10, use the properties of...Ch. 4.3 - In Exercises 8 to 10, use the properties of...Ch. 4.3 - In Exercises 8 to 10, use the properties of...Ch. 4.3 - In Exercises 11 to 14, consider MNPQ with...Ch. 4.3 - In Exercises 11 to 14, consider MNPQ with...Ch. 4.3 - In Exercises 11 to 14, consider MNPQ with...Ch. 4.3 - In Exercises 11 to 14, consider MNPQ with...Ch. 4.3 - In Exercises 15 to 18, consider rhombus ABCD with...Ch. 4.3 - In Exercises 15 to 18, consider rhombus ABCD with...Ch. 4.3 - In Exercises 15 to 18, consider rhombus ABCD with...Ch. 4.3 - In Exercises 15 to 18, consider rhombus ABCD with...Ch. 4.3 - Given: ABCD not shown with AB = 8 and BC = 6; M...Ch. 4.3 - Given: Rhombus RSTV not shown with diagonals...Ch. 4.3 - For Exercises 21 and 22,...Ch. 4.3 - For Exercises 21 and 22,...Ch. 4.3 - In Exercises 23 and 24, supply the missing...Ch. 4.3 - In Exercises 23 and 24, supply the missing...Ch. 4.3 - Which types of quadrilaterals is are necessarily...Ch. 4.3 - Which types of quadrilaterals is are necessarily...Ch. 4.3 - Find the perimeter of the cyclic quadrilateral...Ch. 4.3 - Find the perimeter of the square shown.Ch. 4.3 - In Exercises 29 to 31, explain why each statement...Ch. 4.3 - In Exercises 29 to 31, explain why each statement...Ch. 4.3 - In Exercise 29 to 31, explain why each statement...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 38 and 39, you will need to use the...Ch. 4.3 - In Exercises 38 and 39, you will need to use the...Ch. 4.3 - a Argue that the midpoint of the hypotenuse of a...Ch. 4.3 - Two sets of rails railroad tracks are equally...Ch. 4.3 - In square ABCD not shown, point E lies on side DC....Ch. 4.3 - In square ABCD not shown, point E lies in the...Ch. 4.3 - The sides of square ABCD are trisected at the...Ch. 4.4 - Find the measures of the remaining angles of...Ch. 4.4 - Find the measures of the remaining angles of...Ch. 4.4 - What type of trapezoid a has congruent diagonals....Ch. 4.4 - What type quadrilateral is formed when the...Ch. 4.4 - Given isosceles trapezoid ABCD, Find. a AC, if BD...Ch. 4.4 - In trapezoid ABCD, MN is the median. Without...Ch. 4.4 - If HandJ are supplementary, what type of...Ch. 4.4 - If HandJ are supplementary in HJKL, are KandL...Ch. 4.4 - For Exercises 9 and 10, consider isosceles...Ch. 4.4 - For Exercises 9 and 10, consider isosceles...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - Given: ABCD is an isosceles trapezoid. Prove: ABE...Ch. 4.4 - Given: Isosceles ABE with AEBE; also, D and C are...Ch. 4.4 - In isosceles trapezoid WXYZ with bases ZY and WX,...Ch. 4.4 - In trapezoid WXYZ with bases ZY and WX, ZY = 12,...Ch. 4.4 - In isosceles trapezoid MNPQ with MNQP, diagonal...Ch. 4.4 - In trapezoid RSTV, RVST,mSRV=90, and M and N are...Ch. 4.4 - Each vertical section of a suspension bridge is in...Ch. 4.4 - The state of Nevada approximates the shape of a...Ch. 4.4 - In the figure, abc and B is the midpoint of AC. If...Ch. 4.4 - In the figure, abc and B is the midpoint of AC. If...Ch. 4.4 - In Exercises 27 to 33, complete a formal proof....Ch. 4.4 - In exercises 27 to 33, complete a formal proof....Ch. 4.4 - In exercises 27 to 33, complete a formal proof. If...Ch. 4.4 - In exercises 27 to 33, complete a formal proof. If...Ch. 4.4 - In exercises 27 to 33, complete a formal proof. If...Ch. 4.4 - In exercises 27 to 33, complete a formal proof. If...Ch. 4.4 - In exercises 27 to 33, complete a formal proof....Ch. 4.4 - For exercises 34 and 35, EFis the median of...Ch. 4.4 - For exercises 34 and 35, EFis the median of...Ch. 4.4 - Given: ABDC mA=mB=56CEDA and CF bisects DCB Find:...Ch. 4.4 - In a gambrel style roof, the gable end of a barn...Ch. 4.4 - Successive steps on a ladder form isosceles...Ch. 4.4 - The vertical side wall of an in-ground pool that...Ch. 4.4 - For the in-ground pool shown in Exercise 41, find...Ch. 4.4 - With MNQP and MQQP, MNPQ is a right trapezoid....Ch. 4.4 - With MNQP and MQ, MNPQ is a right trapezoid. Find...Ch. 4.4 - In trap. ABCD not shown, mA=x2+10, mB=x3+50, and...Ch. 4.4 - In trap. ABCD, BCAB and BCCD. If...Ch. 4.4 - Draw and then trisect AB. Use the construction...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises Given: ABCD CD=2x+3 BC=5x-4...Ch. 4.CR - Review Exercises Given: ABCD mA=2x+6 mB=x+24 Find:...Ch. 4.CR - Review Exercises The diagonals of ABCD not shown...Ch. 4.CR - Review Exercises Given: MNOP mM=4x mO=2x+50 Find:...Ch. 4.CR - Review Exercises Using the information from Review...Ch. 4.CR - Review Exercises In quadrilateral ABCD, M is the...Ch. 4.CR - Review Exercises In isosceles trapezoid DEFG,...Ch. 4.CR - One base of a trapezoid has a length of 12.3 cm...Ch. 4.CR - Review Exercises In trapezoid MNOP, MN-PO- and R...Ch. 4.CR - Review Exercises In Review Exercises 22 to 24, M...Ch. 4.CR - Review Exercises In Review Exercises 22 to 24, M...Ch. 4.CR - Review Exercises In Review Exercises 22 to 24, M...Ch. 4.CR - Review Exercises Given: ABCD is a AF-CE- Prove:...Ch. 4.CR - Review Exercises Given: ABEF is a rectangle BCDE...Ch. 4.CR - Review Exercises Given: DE is a median of ADC...Ch. 4.CR - Review Exercises Given: FABHCD EADGCB Prove: ABCD...Ch. 4.CR - Review Exercises Given: ABCD is a parallelogram...Ch. 4.CR - Review Exercises Given: TWX is an isosceles, with...Ch. 4.CR - Review Exercises Construct rhombus ABCD, given...Ch. 4.CR - Review Exercises Draw rectangle ABCD with AB=5 and...Ch. 4.CR - Review Exercises Draw rectangle WXYZ with...Ch. 4.CR - Review Exercises Considering parallelograms,...Ch. 4.CR - Review Exercises What type of quadrilateral is...Ch. 4.CT - Consider ABCD as shown. a How are A and C...Ch. 4.CT - In RSTV not shown, RS=5.3 cm and ST=4.1 cm. Find...Ch. 4.CT - In ABCD, AD=5 and DC=9. If the altitude from...Ch. 4.CT - In RSTV, mS=57. Which diagonal (VSorRT) would have...Ch. 4.CT - In RSTV, VT=3x1,TS=2x+1,andRS=4(x2). Find the...Ch. 4.CT - Complete each statement: a If a quadrilateral has...Ch. 4.CT - Complete each statement: a In RSTV, RW is the...Ch. 4.CT - In ABC, M is the midpoint of AB and N is the...Ch. 4.CT - In ABC, M is the midpoint of AB and N is the...Ch. 4.CT - In ABC, M is the midpoint of AB and N is the...Ch. 4.CT - In rectangle ABCD, AD=12 and DC=5. Find the length...Ch. 4.CT - In trapezoid RSTV, RSVT. a Which sides are the...Ch. 4.CT - In trapezoid RSTV, RSVT and MN is the median, Find...Ch. 4.CT - In trapezoid RSTV of Exercise 13, RSVT and MN is...Ch. 4.CT - Complete the proof of the following theorem: In a...Ch. 4.CT - Complete the proof of the following theorem: The...Ch. 4.CT - In Kite RSTV, RS=2x4,ST=x1,TV=y3andRV=y. Find the...

Find more solutions based on key concepts

Show solutions Determine the distance a ball rolls, on inclined plane 1, during each of the following time intervals. Hint: To...

Mathematical Excursions (MindTap Course List)

Let a=log2,b=log3, and c=log7. In Exercises 2946, use the logarithm identities to express the given quantity in...

Finite Mathematics

In Exercises 4562, find the values of x that satisfy the inequality (inequalities). 62. 2x1x+24

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Recent research has demonstrated that music-based physical training for elderly people can improve balance, wal...

Statistics for The Behavioral Sciences (MindTap Course List)

Counting: Grading One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. (a...

Understanding Basic Statistics

Use the definition of continuity and the properties of limits to show that the function is continuous at the gi...

Single Variable Calculus

Solving for a Variable Solve the equation for the indicated variable. 43. h=12gt2+v0t; for t

Precalculus: Mathematics for Calculus (Standalone Book)

Suppose that f is continuous on a disk that contains the point (a, b). Let Dr be the closed disk with center (a...

Calculus: Early Transcendentals

For Problems 1-50, solve each equation. Objective 1 6y4=16

Intermediate Algebra

A more extensive tabulation of t critical values than what appears in this book shows that for the t distributi...

Probability and Statistics for Engineering and the Sciences

The figure shows a fixed circle C1, with equation (x 1)2 + y2 = 1 and a shrinking circle c, with radius r and ...

Single Variable Calculus: Early Transcendentals, Volume I

Find the prime factorization of each number (use divisibility tests where helpful): 18

Elementary Technical Mathematics

When measuring height to the nearest half inch, what are the real limits for a score of 69.0 inches? a. 68 and ...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Find the limit (if possible): limx25x+2.

Calculus: An Applied Approach (MindTap Course List)

a Find the slope of the tangent to the curve y=3+4x22x3 at the point where x=a. b Find equations of the tangent...

Calculus (MindTap Course List)

Analyzing the Graph of a Trigonometric Function In Exercises 35-42, analyze and sketch a graph of the function ...

Calculus: Early Transcendental Functions

Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...

Applied Calculus

Match the equation with its graph (labeled I-VIII). Give reasons for your choice. x2 + 2z2 = 1

Multivariable Calculus

41. Find the sum of the first 70 terms of the arithmetic sequence with first term 10 and common difference .

Mathematical Applications for the Management, Life, and Social Sciences

CJ The town of Shinbone, Kansas, has a population of 211,732 and experienced 47 bank robberies, 13 murders, and...

Essentials Of Statistics

In Exercises 516, evaluate the given quantity. log218

Finite Mathematics and Applied Calculus (MindTap Course List)

What are the social security and Medicare taxes due on gross earnings of $53,200 per year for Tricia Marvel, a ...

Contemporary Mathematics for Business & Consumers

Find the centroid of the region enclosed by the x-axis and the top half of the ellipse 9x2 + 4y2 = 36.

Single Variable Calculus: Early Transcendentals

For Questions 1 through 6, fill in each blank with the appropriate word or expression. The unit circle has cent...

Trigonometry (MindTap Course List)

Graphical Analysis In Exercises 85 and 86, graph f(x)/g(x) and f(x)/g(x) near x=0 . What do you notice about th...

Calculus of a Single Variable

Let A be a set of integers closed under subtraction. a. Prove that if A is nonempty, then 0 is in A. b. Prove t...

Elements Of Modern Algebra

The point plotted at the right has coordinates:
(2, 5, 4)
(5, 2, 4)
(4, 2, 5)
(2, 4, 5)

Study Guide for Stewart's Multivariable Calculus, 8th

The range of f(x) = tan1 x is: a) [2,2] b) (2,2) c) (0,2) d) all reals

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Network News Viewership Refer to Exercise 23 If the initial distribution vector is, X0=ABCCBSNBC[0.400.400.20] ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding a Differential In Exercises 1124, find the differential dy of the given function. y=sec2xx2+1

Calculus: Early Transcendental Functions (MindTap Course List)

Critical Thinking Determine if the statement is true or false. If the statement is false, then correct it and m...

College Algebra (MindTap Course List)

Describe how the third-variable problem and the directionality problem limit the interpretation of results from...

Research Methods for the Behavioral Sciences (MindTap Course List)

New York City is the most expensive city in the United States for lodging. The mean hotelroom rate is 204 per n...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Describe in your own words the criteria that the IRB uses to evaluate proposed research.

Research Methods for the Behavioral Sciences (MindTap Course List)

A shortage of candidates has required school districts to pay higher salaries and offer extras to attract and r...

Statistics for Business & Economics, Revised (MindTap Course List)

Consider the following statement: More than 65% of the residents of Los Angeles earn less than the average wage...

Introduction To Statistics And Data Analysis

Curvature In Exercises 55-58, find all points on the graph of the function such that the curvature is zero. y=s...

Multivariable Calculus

Vertical Motion An object is projected upward from ground level with an initial velocity of 500 feet per second...

Calculus (MindTap Course List)

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Comp...

Mathematics For Machine Technology

Time Spent Watching Traditional TV. Nielsen tracks the amount of time that people spend consuming media content...

Essentials Of Statistics For Business & Economics

In Problems 1 -10 use the finite difference method and the indicated value of n to approximate the solution of ...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Round all answers to two decimal places. Using Exponential modelsIn Exercises S-15 through S-24, we use exponen...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Exercise 5 gave the following data on weekly gross revenue ($1000s), television advertising expenditures ($1000...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

In 5-8, write an input/output table for the circuit in the referenced exercise. Exercise 3

Discrete Mathematics With Applications

Write a paragraph in which you compare the states fiscal policies concerning their lotteries with the casinos f...

Mathematics: A Practical Odyssey

Use the following information to answer the next five exercises. Two metal alloys are being considered as mater...

Introductory Statistics

In the following exercises, use the graph of function y=f(x) shown here to find the value, if possible. Estimat...

Calculus Volume 1