BuyFind*arrow_forward*

7th Edition

Alexander + 2 others

Publisher: Cengage,

ISBN: 9781337614085

Chapter 7.3, Problem 20E

Textbook Problem

Find the number of sides of a regular polygon that has a central angle measuring

a) | 30°. | c) | 36°. |

b) | 72°. | d) | 20°. |

Elementary Geometry For College Students, 7e

Show all chapter solutions

Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 3 to 8, use the drawing provided....Ch. 7.1 - In Exercises 3 to 8, use the drawing provided....Ch. 7.1 - In Exercises 3 to 8, use the drawing provided....Ch. 7.1 - In Exercises 3 to 8, use the drawing provided....Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...

Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 11 to 22, sketch and describe each...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 39 and 42, refer to the line segments...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 39 and 42, refer to the line segments...Ch. 7.1 - Construct the three angle bisectors and then the...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 39 and 42, refer to the line segments...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - In Exercises 39 and 42, refer to the line segments...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.2 - Note: Exercise preceded by an asterisk are of a...Ch. 7.2 - Note: Exercises preceded by an asterisk are of a...Ch. 7.2 - Note: Exercises preceded by an asterisk are of a...Ch. 7.2 - a What is the general name of the point of...Ch. 7.2 - a What is the general name of the point of...Ch. 7.2 - Which lines or line segments or rays must be drawn...Ch. 7.2 - Which lines or line segments or rays must be drawn...Ch. 7.2 - a Is it really necessary to construct all three...Ch. 7.2 - Which lines, line segments, or rays are used to...Ch. 7.2 - a To locate the orthocenter, is it necessary to...Ch. 7.2 - To locate the centroid of a triangle, is it...Ch. 7.2 - For what type of triangle are the angle bisectors,...Ch. 7.2 - What point on a right triangle is the circumcenter...Ch. 7.2 - Must the centroid of an isosceles triangle lie on...Ch. 7.2 - Draw a triangle and, by construction, find its...Ch. 7.2 - Draw an acute triangle and, by construction, find...Ch. 7.2 - Draw an obtuse triangle and, by construction, find...Ch. 7.2 - Draw an acute triangle and, by construction, find...Ch. 7.2 - Draw an obtuse triangle and, by construction, find...Ch. 7.2 - Draw an acute triangle and, by construction, find...Ch. 7.2 - Draw an obtuse triangle and, by construction, find...Ch. 7.2 - Is the incenter always located in the interior of...Ch. 7.2 - Is the circumcenter always located in the interior...Ch. 7.2 - Find the length of the radius of the inscribed...Ch. 7.2 - Find the distance from the circumcenter to each...Ch. 7.2 - A triangle has angles measuring 30, 30, and 120....Ch. 7.2 - In MNP, medians MB, NA and PC intersect at...Ch. 7.2 - In MNP, medians MB, NA and PC intersect at...Ch. 7.2 - Given: Isosceles RST RS=RT=17andST=16. Medians RZ,...Ch. 7.2 - Given: Isosceles RST RS=RT=10andST=16. Medians RZ,...Ch. 7.2 - Draw a triangle. Construct its inscribed circle.Ch. 7.2 - Draw a triangle. Construct its circumscribed...Ch. 7.2 - For what type of triangle will be the incenter and...Ch. 7.2 - Does a rectangle have a an incenter? b a...Ch. 7.2 - Does a square have a an incenter? b a...Ch. 7.2 - Does a regular pentagon have a an incenter?.b a...Ch. 7.2 - Does a rhombus have a an incenter? b a...Ch. 7.2 - Does a isosceles trapezoid have a an incenter?.b a...Ch. 7.2 - In ABC, the bisectors of the angle are concurrent...Ch. 7.2 - In ABC, the altitudes are concurrent at point D....Ch. 7.2 - A distributing company plans an Illinois location...Ch. 7.2 - There are plans to locate a disaster response...Ch. 7.2 - A circle is inscribed in an isosceles triangle...Ch. 7.2 - For exercises 44 to 46, O is the inscribed circle...Ch. 7.2 - For exercises 44 to 46, O is the inscribed circle...Ch. 7.2 - For exercises 44 to 46, O is the inscribed circle...Ch. 7.3 - Describe, if possible, how you would inscribe a...Ch. 7.3 - What condition must be satisfied for it to be...Ch. 7.3 - Describe, if possible, how you would inscribe a...Ch. 7.3 - What condition must be satisfied for it to be...Ch. 7.3 - In Exercises 5 to 8, perform constructions....Ch. 7.3 - In Exercises 5 to 8, perform constructions....Ch. 7.3 - In Exercises 5 to 8, perform constructions....Ch. 7.3 - In Exercises 5 to 8, perform constructions....Ch. 7.3 - Find the perimeter of a regular octagon if the...Ch. 7.3 - In a regular polygon with each side of length 6.5...Ch. 7.3 - If the perimeter of a regular dodecagon 12 sides...Ch. 7.3 - If the apothem of a square measures 5 cm, find the...Ch. 7.3 - Find the lengths of the apothem and the radius of...Ch. 7.3 - Find the lengths of the apothem and the radius of...Ch. 7.3 - Find the lengths of the side and the radius of an...Ch. 7.3 - Find the lengths of the side and the radius of a...Ch. 7.3 - Find the measure of a central angle of a regular...Ch. 7.3 - Find the measure of a central angle of a regular...Ch. 7.3 - Find the number of sides of a regular polygon that...Ch. 7.3 - Find the number of sides of a regular polygon that...Ch. 7.3 - Find the measure of each interior angle of a...Ch. 7.3 - Find the measure of each interior angle of a...Ch. 7.3 - Find the measure of each exterior angle of a...Ch. 7.3 - Find the measure of each exterior angle of a...Ch. 7.3 - Find the number of sides for a regular polygon in...Ch. 7.3 - Find the number of sides for a regular polygon in...Ch. 7.3 - Is there a regular polygon for which each central...Ch. 7.3 - If possible, draw an equilateral and concave: a...Ch. 7.3 - If possible, draw an equilateral and concave: a...Ch. 7.3 - Given regular hexagon ABCDEF with each side of...Ch. 7.3 - Given regular octagon RSTUVWXY with each side of...Ch. 7.3 - Given that RSTVQ is a regular pentagon and PQR is...Ch. 7.3 - Given: Regular pentagon RSTVQ with equilateral ...Ch. 7.3 - Given: Regular pentagon JKLMN not shown with...Ch. 7.3 - Is there a regular polygon with 8 diagonals? If...Ch. 7.3 - Is there a regular polygon with 12 diagonals? If...Ch. 7.3 - Find the measure of a central angle of a regular...Ch. 7.3 - Find the measure of a central angle of a regular...Ch. 7.3 - A regular polygon of n sides has an exterior angle...Ch. 7.3 - A regular polygon of n sides has an exterior angle...Ch. 7.3 - A regular polygon of n sides has an interior angle...Ch. 7.3 - A regular polygon of n sides has an interior angle...Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 1 to 6, use the figure shown....Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercise 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 7 to 13, sketch and describe...Ch. 7.CR - In Review Exercises 14 to 17, sketch and describe...Ch. 7.CR - In Review Exercises 14 to 17, sketch and describe...Ch. 7.CR - In Review Exercises 14 to 17, sketch and describe...Ch. 7.CR - In Review Exercises 14 to 17, sketch and describe...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - In Review Exercises 18 to 23, use construction...Ch. 7.CR - Given: ABC with medians AE,CD,BF Find: a BG if...Ch. 7.CR - Given: ABC in Exercise 24 with medians AE,CD,BF...Ch. 7.CR - For a regular pentagon, find the measure of each a...Ch. 7.CR - For a regular decagon 10 sides, find the measure...Ch. 7.CR - In a regular polygon, each central angle measures...Ch. 7.CR - In a regular polygon, the apothem measures 3 in....Ch. 7.CR - Can a circle be circumscribed about each of the...Ch. 7.CR - Can a circle be inscribed in each of the following...Ch. 7.CR - The length of the radius of a circle inscribed in...Ch. 7.CR - The length of the radius of a circle inscribed in...Ch. 7.CR - Sketch the parabola that has directrix d and focus...Ch. 7.CT - Draw and describe the locus of points in the plane...Ch. 7.CT - Draw and describe the locus of points in the plane...Ch. 7.CT - Draw and describe the locus of points in the plane...Ch. 7.CT - Describe the locus of points in a plane that are...Ch. 7.CT - Describe the locus of points in space that are at...Ch. 7.CT - For a given triangle such as ABC, what word...Ch. 7.CT - For a given triangle such as ABC, what word...Ch. 7.CT - In what type of triangle are the angle bisectors,...Ch. 7.CT - Which of the following must be concurrent at an...Ch. 7.CT - Classify as true/false: aA circle can be inscribed...Ch. 7.CT - An equilateral triangle has a radius of length 3...Ch. 7.CT - For a regular pentagon, find the measure of each...Ch. 7.CT - The measure of each central angle of a regular...Ch. 7.CT - For a regular octagon, the length of the apothem...Ch. 7.CT - For a regular hexagon ABCDEF, the length of side...Ch. 7.CT - For rectangle MNPQ, points A, B, C and D are the...Ch. 7.CT - Sketch the parabola that has directrix d and focus...

Find more solutions based on key concepts

Show solutions The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting so...

Single Variable Calculus: Early Transcendentals, Volume I

a What can you say about a solution of the equation y=y2 just by looking at the differential equation? b Verify...

Calculus (MindTap Course List)

Fill in each blank: 6000floz=gal

Elementary Technical Mathematics

For Problems 56-64, use your calculator to evaluate each numerical expression. Objective 3 56

Intermediate Algebra

1. One ball is drawn at random from a bag containing 4 red balls and 6 white balls. What is the probability tha...

Mathematical Applications for the Management, Life, and Social Sciences

Find the gradient vector field of f. 24. f(x, y, z) = x2 yey/z

Multivariable Calculus

Operations with Limits In Exercises 21 and 22, find the limit of (a)f(x)+g(x),(b)f(x)g(x),and(c)f(x)/g(x),asxap...

Calculus: An Applied Approach (MindTap Course List)

If f and g are both even functions, is the product fg even? If f and g are both odd functions, is fg odd? What ...

Single Variable Calculus

Polar Equations to Rectangular Equations Convert the polar equation to rectangular coordinates. 61. r = 1 + 2 s...

Precalculus: Mathematics for Calculus (Standalone Book)

Evaluating a Definite Integral as a Limit In Exercises 5-10, evaluate the definite integral by the limit defini...

Calculus: Early Transcendental Functions

Describe what is measured by the estimated standard error in the bottom of the independent-measures t statistic...

Statistics for The Behavioral Sciences (MindTap Course List)

Two samples are selected from the same population. For each of the following, calculate how much difference is ...

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

In Exercises 1-8, use the graph of the given function f to determine limxaf(x) at the indicated value of a, if ...

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

Calculate each expression in Exercises 124, giving the answer as a whole number or a fraction in lowest terms. ...

Finite Mathematics and Applied Calculus (MindTap Course List)

Components arriving at a distributor are checked for defects by two different inspectors (each component is che...

Probability and Statistics for Engineering and the Sciences

In your own words, describe, the role of statistics in the research process. Using the wheel of science as a fr...

Essentials Of Statistics

Sketch the curve and find the area that it encloses. 11. r = 3 + 2 cos

Calculus: Early Transcendentals

Problems from the Mensa Workout Mensa is a society that welcomes people from every walk of life whose IQ is in ...

Mathematical Excursions (MindTap Course List)

For Problems 7-21, please provide the following information. (a) What is the level of significance? State the n...

Understanding Basic Statistics

Surface Area Find the area of the surface formed by revolving the graph of y = 2e-x on the interval [0, ) abou...

Calculus of a Single Variable

Find equations of the tangent line and normal line to the curve at the given point. y2 = x3, (1, 1)

Single Variable Calculus: Early Transcendentals

For each of the following relations R defined on the set A of all triangles in a plane, determine whether R is ...

Elements Of Modern Algebra

Find the distance between the following pairs of points. (0,12)(5,0)

Trigonometry (MindTap Course List)

Solve the following increase or decrease problems for the unknown. Round decimals to hundredths and percents to...

Contemporary Mathematics for Business & Consumers

Finding a Limit Graphically In Exercises 23-30, use the graph to find the limit (if it exists). If the limit do...

Calculus: Early Transcendental Functions (MindTap Course List)

NETWORK NEWS VIEWERSHIP A television poll was conducted among regular viewers of the national news in a certain...

Finite Mathematics for the Managerial, Life, and Social Sciences

Which is the graph of ?

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

One of the vector forms of Green’s Theorem says that if n is the outer normal vector to C, then

Study Guide for Stewart's Multivariable Calculus, 8th

Express the following hexadecimal numbers as binary numbers. BF.3A16

Mathematics For Machine Technology

In developing patient appointment schedules, a medical center wants to estimate the mean time that a staff memb...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Under what circumstances is a stratified random sample preferred to a simple random sample?

Research Methods for the Behavioral Sciences (MindTap Course List)

Fill in the blanks. If two columns of A are identical, then A=_______

College Algebra (MindTap Course List)

Cross Product of Unit Vectors In Exercises 3-6, find the cross product of the unit vectors and sketch your resu...

Multivariable Calculus

According to the National Education Association (NEA), teachers generally spend more than 40 hours each week wo...

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

The article Puppy Love? Its Real, Study Says (USA TODAY, April 17, 2015) describes a study into how people comm...

Introduction To Statistics And Data Analysis

Determine whether each of the following hypotheses is testable and refutable. If not, explain why. a. Young chi...

Research Methods for the Behavioral Sciences (MindTap Course List)

CONCEPT CHECK WritingWhat does it mean for a curve to be simple? What does it mean for a plane region to be sim...

Calculus (MindTap Course List)

To use an automated teller machine ATM, a customer must enter his or her four-digit Personal Identification num...

Mathematics: A Practical Odyssey

1. An experiment has three steps with three outcomes possible for the first step, two outcomes possible for the...

Essentials Of Statistics For Business & Economics

The number of subsets of size r that can be formed from a set with n elements is denoted_____, which is read as...

Discrete Mathematics With Applications

25. Given below is a bivariate distribution for the random variables x and y.
f(x, y) x y
.2 50 80
.5 30 50
.3 ...

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

Reminder: Round all answer to two decimal places unless otherwise indicated. a. Use a formula to express the wo...

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

School Enrollment The table shows the numbers N (in millions) of students enrolled in elementary and secondary ...

College Algebra

G and H are mutually exclusive events. P(G) = 0.5 P(ff) = 0.3 a. Explain why the following statement MUST be fa...

Introductory Statistics

In the following Exercises, use a suitable change of variables to determine the indefinite integral. 272. t( 1t...

Calculus Volume 2

For the following exercises, use the vertical line test to determine whether each of the given graphs represent...

Calculus Volume 1

In Problems 1524, x = 0 is a regular singular point of the given differential equation. Show that the indicial ...

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