BuyFind*launch*

7th Edition

Alexander + 2 others

Publisher: Cengage,

ISBN: 9781337614085

Chapter 4.4, Problem 43E

Textbook Problem

With

a)

b) the length of

*Exercises 43, 44*

Elementary Geometry For College Students, 7e

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 - In quadrilaterals ABCD and EFGH, AB-DC-, EF-HG-,...Ch. 4.1 - In quadrilaterals ABCD and EFGH, AB-DC-, EF-HG-,...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 - Are ABCD and EFGH congruent if: a ABEF and BCFG? b...Ch. 4.2 - Are ABCD and EFGH congruent if: a D and H are...Ch. 4.2 - For regular hexagon ABCDEF, a are quadrilateral...Ch. 4.2 - For regular octagon ABCDEFGH, a are quadrilateral...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 to 24, let...Ch. 4.3 - For Exercises 21 0t 24, let...Ch. 4.3 - For Exercises 21 to 24, let...Ch. 4.3 - For Exercises 21 t 24, let...Ch. 4.3 - In Exercises 25 and 26, supply the missing...Ch. 4.3 - In Exercises 25 and 26, 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 - Are quadrilaterals ABCD and EFGH congruent aif...Ch. 4.3 - In Exercises 32 and 33, explain why each statement...Ch. 4.3 - In Exercises 32 and 33, explain why each statement...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 40 to 41, you will need to use the...Ch. 4.3 - In Exercises 40 to 41, 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 a 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 - EFGH and MNPQ are isosceles trapezoids. Are these...Ch. 4.4 - HJKL and WXYZ are right trapezoids. Are these...Ch. 4.4 - In exercises 29 to 35, complete a formal proof....Ch. 4.4 - In exercises 29 to 35, complete a formal proof....Ch. 4.4 - In exercises 29 to 35, complete a formal proof. If...Ch. 4.4 - In exercises 29 to 35, complete a formal proof. If...Ch. 4.4 - In exercises 29 to 35, complete a formal proof. If...Ch. 4.4 - In exercises 29 to 35, complete a formal proof. If...Ch. 4.4 - In exercises 29 to 35, complete a formal proof....Ch. 4.4 - For exercises 36 and 37, EFis the median of...Ch. 4.4 - For exercises 36 and 37, 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 trapezoid ABCD not shown, mA=x2+10, mB=x3+50...Ch. 4.4 - In trapezoid ABCD, BCAB and BCCD. If...Ch. 4.4 - Draw and then trisect AB. Use the construction...Ch. 4.4 - In trapezoid ABCD, ABDC and mA=90. If...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

The psychology department is gradually changing its curriculum by increasing the number of online course offeri...

Statistics for The Behavioral Sciences (MindTap Course List)

Let V denote rainfall volume and W denote runoff volume (both in mm). According to the article Runoff Quality A...

Probability and Statistics for Engineering and the Sciences

Find the solution of the exponential equation, rounded to two decimal places. (a) 34x = 3100 (b) e3x2=ex2 (c) 5...

Precalculus: Mathematics for Calculus (Standalone Book)

Place the following set of n = 20 scores in a frequency distribution table.

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

Determining Continuity In Exercises 11-40, describe the interval(s) on which the function is continuous. Explai...

Calculus: An Applied Approach (MindTap Course List)

Why do we need to study the variation of a collection of data? Why isnt the average by itself adequate? We have...

Understanding Basic Statistics

In Exercises 15-22, find the equation of the specified line. Through (2,4) with slope 1

Applied Calculus

Sketch the region in the plane consisting of all points (x, y) such that xy+xy2

Single Variable Calculus

Determine whether sequence converges or diverges. If it converges, find the limit. 26. an = 2 + (0.86)n

Calculus: Early Transcendentals

In Problems 25-28, find the range of the set of numbers given.
25. 3, 5, 7, 8, 2, 11, 6, 5

Mathematical Applications for the Management, Life, and Social Sciences

In Exercises 2330, factor each expression and simplify as much as possible. (x+1)3+(x+1)5

Finite Mathematics and Applied Calculus (MindTap Course List)

Rewrite each expression in Exercises 116 as a single rational expression, simplified as much as possible. x21x2...

Finite Mathematics

Slant Asymptote In Exercises 85-90, use a graphing utility to graph the function and determine the slant asympt...

Calculus: Early Transcendental Functions

Find the area of the region that is bounded by the given curve and lies in the specified sector. 2. r = cos , 0...

Multivariable Calculus

Graph the function by starting with the graphs in Figures 14 and 15 and applying the transformations of Section...

Single Variable Calculus: Early Transcendentals, Volume I

If f(x)=(xa)(xb)(xc), show that f(x)f(x)=1xa+1xb+1xc

Calculus (MindTap Course List)

Each beef export loin will yield 11 prime rib servings. a. How many beef export loins are needed to serve prime...

Elementary Technical Mathematics

Simplify the algebraic expressions in Problems 15-34 by removing parentheses and combining similar terms. Objec...

Intermediate Algebra

a. What is the graph of a function? Use a drawing to illustrate the graph, the domain, and the range of a funct...

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

In some fuzzy sets, membership values are given by a membership graph or by a formula. For instance, the follow...

Mathematical Excursions (MindTap Course List)

Assume that the distribution of scores on a college entrance exam is normal, with a mean of 500 and a standard ...

Essentials Of Statistics

In Exercises , a field , a polynomial over , and an element of the field obtained by adjoining a zero of to ...

Elements Of Modern Algebra

True or False? In Exercises 53-58, determine whether the statement is true or false. If it is false, explain wh...

Calculus of a Single Variable

Find the limit. Use lHospitals Rule where appropriate. If there is a more elementary method, consider using it....

Single Variable Calculus: Early Transcendentals

Use Table 12-1 to calculate the future value of the following annuities due. Annuity Payment Time Nominal Inter...

Contemporary Mathematics for Business & Consumers

Use your graphing calculator to determine if each to an identity by graphing the left expression and right expr...

Trigonometry (MindTap Course List)

Proof Prove that limn0101xnyndxdy=0.

Calculus: Early Transcendental Functions (MindTap Course List)

True or false:

Study Guide for Stewart's Multivariable Calculus, 8th

n=12(14)n converges to: a) 94 b) 2 c) 23 d) the series diverges

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

AUTO FINANCING Paula is considering the purchase of a new car. She has narrowed her search to two cars that are...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding an Indefinite Integral In Exercises 19-40, use a table of integrals to find the indefinite integral. x2...

Calculus (MindTap Course List)

In an experiment examining human memory, two groups of participants are used. One group is allowed 5 minutes to...

Research Methods for the Behavioral Sciences (MindTap Course List)

In Exercises 13-16, a relation is given. a Write the ordered pairs of the relation. b State the domain and the ...

College Algebra (MindTap Course List)

Sketching a Space CurveIn Exercises 3138, sketch the space curve represented by the vector-valued function and ...

Multivariable Calculus

The following matrix represents the results (the means) from a 2 2 factorial study. One mean is not given. Al ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Find each base. Round the answers to 2 decimal places when necessary. 50. 3.8 is 95.3% of what number?

Mathematics For Machine Technology

The following data were used to construct the histograms of the number of days required to fill orders for Daws...

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

A startup companys ability to gain funding is a key to success. The funds raised (in millions of dollars) by 50...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Heinz Plays Catch-up After Under-Filling Ketchup Containers is the headline of an article that appeared on CNN....

Introduction To Statistics And Data Analysis

Let X={a,b,c,d,e}and Y={s,tu,v,w}. In each of 42 and 43 a one-to-one corrspondence F:XYis defined by an arrow d...

Discrete Mathematics With Applications

Reminder Round all answers to two decimal places unless otherwise indicated. Brightness of StarsThis is a conti...

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

In Exercises 112, find the indicated value: a. 7P3 b. 7C3

Mathematics: A Practical Odyssey

Cincinnati to Tampa Flight Time. Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from...

Essentials Of Statistics For Business & Economics

Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida during 2014...

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

In Problems 15-26 find a linear differential operator that annihilates the given function. 18. x + 3xe6x

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

For the following exercises, evaluate the given exponential functions as indicated, accurate to two significant...

Calculus Volume 1

Use the following information to answer the next four exercises: An unknown distribution has a mean of 80 and a...

Introductory Statistics