BuyFind*arrow_forward*

7th Edition

Alexander + 2 others

Publisher: Cengage,

ISBN: 9781337614085

Chapter 4.CT, Problem 9CT

Textbook Problem

In
*MN*=7.6 cm, find BC.

Elementary Geometry For College Students, 7e

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 - 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

Show solutions A Geometric Model The ancient Greeks often discovered mathematical relationships by using geometric drawings. S...

Mathematical Excursions (MindTap Course List)

What value is represented by the uppercase letter N? a. the number of scores in a population b. the number of s...

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

Rewrite each expression in Exercises 116 as a single rational expression, simplified as much as possible. 1x[x3...

Applied Calculus

SOC/CJ A random sample of 113 felons convicted of nonviolent crimes in a state prison system completed a progra...

Essentials Of Statistics

Show that tanxfor0x/2. Hint: Show that f(x)=tanxx is increasing on (0,/2).

Calculus (MindTap Course List)

Vertical Line Test In Exercises 9-12, use the Vertical Line Test to determine whether y is a function of x. x2=...

Calculus: An Applied Approach (MindTap Course List)

The instructions on a carton of chemicals call for mixing 144 fl oz of water, 24 fl oz of chemical No. 1, and 5...

Elementary Technical Mathematics

Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded? 76. an=2+(...

Calculus: Early Transcendentals

In problems 29-32, express each inequality or graph using interval notation and name the type of interval.
30....

Mathematical Applications for the Management, Life, and Social Sciences

For problems 15-26, simplify each numerical expression. Be sure to take advantage of the properties whenever th...

Intermediate Algebra

Find the general indefinite integral. (1+rr)2dr

Single Variable Calculus: Early Transcendentals, Volume I

Clarks Rule Clark's Rule is a method for calculating pediatric drug dosages based on a child's weight. If a den...

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

If limx1f(x)8x1=10, find limx1f(x).

Single Variable Calculus

Work In Exercises 25-28, use Greens Theorem to calculate the work done by the force F on a particle that is mov...

Calculus: Early Transcendental Functions

Expand each expression in Exercises 122. x(3x+y)

Finite Mathematics and Applied Calculus (MindTap Course List)

Suppose the true average growth of one type of plant during a 1-year period is identical to that of a second t...

Probability and Statistics for Engineering and the Sciences

Simplify the expressions in Exercises 97106. 21/a/22/a

Finite Mathematics

Use the formula in Exercise 63(d) to find the torsion of the curve r(t)=t,12t2,13t3.

Multivariable Calculus

Systems of Linear Equations in Several Variables Find the complete solution of the system, or show that the sys...

Precalculus: Mathematics for Calculus (Standalone Book)

Education: Test Construction Professor Gill is designing a multiple-choice test. There are to be 10 questions. ...

Understanding Basic Statistics

Find each of the following probabilities for a normal distribution. a. p (-0.80 < z< 0.80 ) b. p(-0.50 < z< 1.0...

Statistics for The Behavioral Sciences (MindTap Course List)

Use Figure 24 for Problems 61 through 72. Figure 24 Find the complement of each of the following angles. 90

Trigonometry (MindTap Course List)

The following interest-bearing promissory notes were discounted at a bank by the payee before maturity. Use the...

Contemporary Mathematics for Business & Consumers

Verifying a Sum Verify that i=1ni2=n(n+1)(2n+1)6 by showing the following. (a). (1+i)3i3=3i2+3i+1 (b). (n+1)3=i...

Calculus of a Single Variable

If f(x) = 5x, show that f(x+h)f(x)h=5x(5h1h)

Single Variable Calculus: Early Transcendentals

(See Example 3 of section 5.1.) Let S denote the subring of the real numbers that consists of all real numbers ...

Elements Of Modern Algebra

In Exercises 38 and 39, you will need to use the square root () function of your calculator. A wall that is 12 ...

Elementary Geometry for College Students

Which curve is simple but not closed?

Study Guide for Stewart's Multivariable Calculus, 8th

Minimum Cost An industrial tank of the shape described in Exercise 33 must have a volume of 4000 cubic feet. Th...

Calculus: Early Transcendental Functions (MindTap Course List)

Find the twenty third term in a geometric progression having the first term a=0.1 and ratio r=2.

Finite Mathematics for the Managerial, Life, and Social Sciences

True or False: The function graphed at the right is one-to-one.

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

A financial manager made two new investmentsone in the oil industry and one in municipal bonds. After a one-yea...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Consider the hypothesis test H0:p1p20Ha:p1p20 The following results are for independent samples taken from the ...

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

Explain why a researcher might have some ethical reservations about beginning the second baseline phase in an A...

Research Methods for the Behavioral Sciences (MindTap Course List)

Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the trigonometric function. l...

Calculus (MindTap Course List)

VolumeIn Exercises 67 and 68, use cylindrical coordinates to find the volume of the solid. Solid bounded above ...

Multivariable Calculus

Define, compare, and contrast the experimental, nonexperimental, and quasi-experimental research strategies, an...

Research Methods for the Behavioral Sciences (MindTap Course List)

Practice Find the symmetries, if any, of the graph of each equation. Do not graph the equation. y=x2+2

College Algebra (MindTap Course List)

Express 18.5 square meters as square feet. Round the answer to 1 decimal place.

Mathematics For Machine Technology

The United States Elections Project (electproject.org/2016g, retrieved January 22, 2017) reported that 57.8% of...

Introduction To Statistics And Data Analysis

Confidence Intervals for Different Processes. Refer to exercise 15. Use Fisher’s LSD procedure to develop a 95%...

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

Derive the set identity A(AB)=A from the properties listed in Theorem 6.2.2.(1)-(9) Start by showing that for e...

Discrete Mathematics With Applications

Reminder Round all answers to two decimal places unless otherwise indicated. Comparing Earthquakes In 1992, the...

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

32. A population proportion is .40. A sample of size 200 will be taken and the sample proportion will be used ...

Essentials Of Statistics For Business & Economics

Convert 44,886 to base three.

Mathematics: A Practical Odyssey

In Problems 120 determine whether the given differential equation is exact. If it is exact, solve it. 8. (1+lnx...

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

Let event A = learning Spanish. Let event B = learning German. Then A AND B = learning Spanish and German. Supp...

Introductory Statistics