Math

GeometryElementary Geometry for College StudentsIn a regular polygon, each central angle measures 45 ∘ . a) How many sides does the regular polygon have? b) How many diagonals does this regular polygon have? c) If each side measures 5 cm and each apothem is approximately 6 cm in length, what is the perimeter of the polygon?BuyFind*arrow_forward*

6th Edition

Daniel C. Alexander + 1 other

Publisher: Cengage Learning

ISBN: 9781285195698

Chapter 7.CR, Problem 28CR

Textbook Problem

In a regular polygon, each central angle measures

a) How many sides does the regular polygon have?

b) How many diagonals does this regular polygon have?

c) If each side measures

Elementary Geometry for College Students

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 - For Exercises 21 to 26, use the grid and your...Ch. 7.1 - For Exercises 21 to 26, use the grid and your...Ch. 7.1 - For Exercises 21 to 26, use the grid and your...Ch. 7.1 - For Exercises 21 to 26, use the grid and your...Ch. 7.1 - For Exercises 21 to 26, use the grid and your...Ch. 7.1 - For Exercises 21 to 26, use the grid and your...Ch. 7.1 - In Exercises 27 to 34, Sketch and describe the...Ch. 7.1 - In Exercises 27 to 34, Sketch and describe the...Ch. 7.1 - In Exercises 27 to 34, Sketch and describe the...Ch. 7.1 - In Exercises 27 to 34, Sketch and describe the...Ch. 7.1 - In Exercises 27 to 34, Sketch and describe the...Ch. 7.1 - In Exercises 27 to 34, Sketch and describe the...Ch. 7.1 - In Exercises 27 to 34, Sketch and describe the...Ch. 7.1 - In Exercises 27 to 34, Sketch and describe the...Ch. 7.1 - In Exercises 35 and 36, use the method of proof of...Ch. 7.1 - In Exercises 35 and 36, use the method of proof of...Ch. 7.1 - In Exercises 37 to 40, refer to the line segments...Ch. 7.1 - In Exercises 37 to 40, 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 - 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 - In the figure, are lines m, n, and p concurrent?Ch. 7.2 - If one exists, name the point of concurrence for...Ch. 7.2 - What is the general name of the point of...Ch. 7.2 - What is the general name of the point of...Ch. 7.2 - What is the general name of the point of...Ch. 7.2 - 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 - Is it really necessary to construct all three...Ch. 7.2 - Is it really necessary to construct all three...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 - Given: Isosceles RST RS=RT=17andST=16. Medians RZ,...Ch. 7.2 - Given: Isosceles RST RS=RT=10andST=16. Medians RZ,...Ch. 7.2 - In MNP, medians MB, NA and PC intersect at...Ch. 7.2 - In MNP for Exercise 29, medians MB, NA and PC...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 - 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 42 to 44, O is the inscribed circle...Ch. 7.2 - For exercises 42 to 44, O is the inscribed circle...Ch. 7.2 - For exercises 42 to 44, 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 - 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.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 - For Exercises 20 to 23, see the figure for...Ch. 7.CR - For Exercises 20 to 23, see the figure for...Ch. 7.CR - For Exercises 20 to 23, see the figure for...Ch. 7.CR - For Exercises 20 to 23, see the figure for...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,DC,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 For Problems 2-10, state the property of equality or the property of real numbers that justifies each of the st...

Intermediate Algebra

Find the prime factorization of each number: 220

Elementary Technical Mathematics

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or gi...

Calculus: Early Transcendentals

The length and width of a rectangle are measured as 30 cm and 24 cm, respectively, with an error in measurement...

Multivariable Calculus

Briefly explain how increasing sample size influences each of the following. Assume that all other factors are ...

Statistics for The Behavioral Sciences (MindTap Course List)

True or False? In Exercises 97-100, determine whether the statement is true or false. If it is false, explain w...

Calculus: Early Transcendental Functions

The value of Youngs modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates...

Probability and Statistics for Engineering and the Sciences

Terminology Consider the following measures of central tendency: mean, median, mode. Match each type to the app...

Understanding Basic Statistics

Division of Polynomials Two polynomials P and D are given. Use either synthetic or long division to divide P(x)...

Precalculus: Mathematics for Calculus (Standalone Book)

In problems 27-30, find.
29.

Mathematical Applications for the Management, Life, and Social Sciences

Find the critical numbers of the function. F(x) = x4/5(x 4)2

Single Variable Calculus: Early Transcendentals, Volume I

Solve the following problems. a. A repeated-measures study with a sample of n = 16 participants produces a mean...

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

You have developed a series of questions to measure job satisfaction of bus drivers in New York City. A random ...

Essentials Of Statistics

The graph of y = f(x) is given. Match each equation with its graph and give reasons for your choices. (a) y = f...

Single Variable Calculus

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

Finite Mathematics

In Exercises I to 14, use the roster method to write each of the given sets. For some exercises you may need to...

Mathematical Excursions (MindTap Course List)

Sketching Tangent Lines In Exercises 1-6, trace the graph and sketch the tangent lines at (x1,y1)and(x2,y2).

Calculus: An Applied Approach (MindTap Course List)

Establish the following rules for working with differentials where c denotes a constant and u and v are functio...

Calculus (MindTap Course List)

In Exercises 33-38, rewrite the expression using positive exponents only. 33. (xy)2

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

Simplify the expressions in Exercises 5764, given that x,y,z,a,b, and c are positive real numbers. (x+9)2

Applied Calculus

Solve the equations in Exercises 126. 4xx313x4x31x31=0

Finite Mathematics and Applied Calculus (MindTap Course List)

Each of the following problems refers to triangle ABC. In each case, find the area of the triangle. Round to th...

Trigonometry (MindTap Course List)

Using the ordinary interest method (360 days), find the amount of interest on the following loans.
2. $1,700 ...

Contemporary Mathematics for Business & Consumers

Exercises
21. Suppose is a cyclic group of order. Determine the number of generators of for each value of an...

Elements Of Modern Algebra

Calculate y'. 33. y = ln | sec 5x + tan 5x |

Single Variable Calculus: Early Transcendentals

Finding a Limit In Exercises 11-30, find the limit (if it exists). If it does not exist, explain why. limx3f(x)...

Calculus of a Single Variable

Write in cylindrical coordinates, where E is the solid at the right.

Study Guide for Stewart's Multivariable Calculus, 8th

Evaluate the iterated integral: 440x264x3dydx

Calculus: Early Transcendental Functions (MindTap Course List)

True or False:
A population that follows a logistic model will never reach its carrying capacity.

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

In Exercises 14, find an equation of the least-squares line for the data.

Finite Mathematics for the Managerial, Life, and Social Sciences

Classifying a Point In Exercises 19-22, a vector field and a point in the vector field are given. Determine whe...

Multivariable Calculus

Identify and describe the steps in the research process.

Research Methods for the Behavioral Sciences (MindTap Course List)

Table 2.18 shows a portion of the data for a sample of 103 private colleges and universities. The complete data...

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

Using the Table of Block Thicknesses for a Metric Gage Block Set, determine a combination of gage blocks each o...

Mathematics For Machine Technology

Explain how a time-series design minimizes most threats to internal validity from time-related variables.

Research Methods for the Behavioral Sciences (MindTap Course List)

Fill in the blanks. The product of the matrices A and B in Exercise 5 will be a ____ matrix.

College Algebra (MindTap Course List)

The days to maturity for a sample of five money market funds are shown here. The dollar amounts invested in the...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Using Properties of Definite Integrals Given 11f(x)dx=0and01f(x)dx=5 evaluate 10f(x)dx 01f(x)dx10f(x)dx 113f(x)...

Calculus (MindTap Course List)

Consider the typing speed distribution described in Exercise 7.94. a. Suppose that two typists are independentl...

Introduction To Statistics And Data Analysis

ReminderRound all answers to two decimal places unless otherwise indicated. Carbon Dioxide ConcentrationsThe am...

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

Donald Trumptobe decided to build his own dynasty. He is considering specifying in his will that at his death, ...

Mathematics: A Practical Odyssey

(a) How many integers from 1 through 1,000 are multiples of 4 or multiples of 7? (b) Suppose an integer from 1 ...

Discrete Mathematics With Applications

15. In the following profit payoff table for a decision problem with two states of nature and three decision al...

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

Young Professional Magazine Young Professional magazine was developed for a target audience of recent college g...

Essentials Of Statistics For Business & Economics

Stopping distance, The stopping distance of an automobile is the distance travelled during the driver’s reactio...

College Algebra

Use the information in the Table 3.19 to answer the next eight exercises. The cable shows the political party a...

Introductory Statistics

In the following exercises, consider the graph of the function y=f(x) shown here. Which of the statements about...

Calculus Volume 1

Is x = 0 an ordinary point of the differential equation y+5xy+xy=0?

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