Geometry, Student Edition
Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Question
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Chapter 3.5, Problem 21PPS
To determine

To find x so that m||n .Identify the postulate or theorem is used.

Expert Solution & Answer
Check Mark

Answer to Problem 21PPS

  x=36°

Theorem of exterior alternate angles is used.

Explanation of Solution

Given information:

Figure

Geometry, Student Edition, Chapter 3.5, Problem 21PPS , additional homework tip 1

Calculation:

Figure

Geometry, Student Edition, Chapter 3.5, Problem 21PPS , additional homework tip 2

Here m||n

Then theorem of exterior alternate angles is used.

Angle (6x−144)o and angle (2x)o are exterior alternate angles.

Then they are congruent

So

  (6x−144)o=(2x)o

Add 144 both side

  6x−144+144=2x+144

On solving

  6x=2x+144

Subtract 2x both side

  6x−2x=2x+144−2x

On solving

  4x=144

Divide by 4 both side

  4x4=1444

On solving

  x=36°

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Chapter 3.5, Problem 22PPS

Chapter 3 Solutions

Geometry, Student Edition

Ch. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 1CCYPCh. 3.1 - Prob. 2ACYPCh. 3.1 - Prob. 2BCYPCh. 3.1 - Prob. 2CCYPCh. 3.1 - Prob. 2DCYPCh. 3.1 - Prob. 3ACYPCh. 3.1 - Prob. 3BCYPCh. 3.1 - Prob. 3CCYP
Ch. 3.1 - Prob. 3DCYPCh. 3.1 - Prob. 1CYUCh. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42PPSCh. 3.1 - Prob. 43PPSCh. 3.1 - Prob. 44PPSCh. 3.1 - Prob. 45PPSCh. 3.1 - Prob. 46HPCh. 3.1 - Prob. 47HPCh. 3.1 - Prob. 48HPCh. 3.1 - Prob. 49HPCh. 3.1 - Prob. 50HPCh. 3.1 - Prob. 51STPCh. 3.1 - Prob. 52STPCh. 3.1 - Prob. 53STPCh. 3.1 - Prob. 54STPCh. 3.1 - Prob. 55SPRCh. 3.1 - Prob. 56SPRCh. 3.1 - Prob. 57SPRCh. 3.1 - Prob. 58SPRCh. 3.1 - Prob. 59SPRCh. 3.1 - Prob. 60SPRCh. 3.1 - Prob. 61SRCh. 3.1 - Prob. 62SRCh. 3.1 - Prob. 63SRCh. 3.2 - Prob. 1ACYPCh. 3.2 - Prob. 1BCYPCh. 3.2 - Prob. 1CCYPCh. 3.2 - Prob. 2ACYPCh. 3.2 - Prob. 2BCYPCh. 3.2 - Prob. 3ACYPCh. 3.2 - Prob. 3BCYPCh. 3.2 - Prob. 1CYUCh. 3.2 - Prob. 2CYUCh. 3.2 - Prob. 3CYUCh. 3.2 - Prob. 4CYUCh. 3.2 - Prob. 5CYUCh. 3.2 - Prob. 6CYUCh. 3.2 - Prob. 7CYUCh. 3.2 - Prob. 8CYUCh. 3.2 - Prob. 9CYUCh. 3.2 - Prob. 10CYUCh. 3.2 - Prob. 11PPSCh. 3.2 - Prob. 12PPSCh. 3.2 - Prob. 13PPSCh. 3.2 - Prob. 14PPSCh. 3.2 - Prob. 15PPSCh. 3.2 - Prob. 16PPSCh. 3.2 - Prob. 17PPSCh. 3.2 - Prob. 18PPSCh. 3.2 - Prob. 19PPSCh. 3.2 - Prob. 20PPSCh. 3.2 - Prob. 21PPSCh. 3.2 - Prob. 22PPSCh. 3.2 - Prob. 23PPSCh. 3.2 - Prob. 24PPSCh. 3.2 - Prob. 25PPSCh. 3.2 - Prob. 26PPSCh. 3.2 - 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Prob. 7CYUCh. 3.3 - Prob. 8CYUCh. 3.3 - Prob. 9CYUCh. 3.3 - Prob. 10CYUCh. 3.3 - Prob. 11CYUCh. 3.3 - Prob. 12PPSCh. 3.3 - Prob. 13PPSCh. 3.3 - Prob. 14PPSCh. 3.3 - Prob. 15PPSCh. 3.3 - Prob. 16PPSCh. 3.3 - Prob. 17PPSCh. 3.3 - Prob. 18PPSCh. 3.3 - Prob. 19PPSCh. 3.3 - Prob. 20PPSCh. 3.3 - Prob. 21PPSCh. 3.3 - Prob. 22PPSCh. 3.3 - Prob. 23PPSCh. 3.3 - Prob. 24PPSCh. 3.3 - Prob. 25PPSCh. 3.3 - Prob. 26PPSCh. 3.3 - Prob. 27PPSCh. 3.3 - Prob. 28PPSCh. 3.3 - Prob. 29PPSCh. 3.3 - Prob. 30PPSCh. 3.3 - Prob. 31PPSCh. 3.3 - Prob. 32PPSCh. 3.3 - Prob. 33PPSCh. 3.3 - Prob. 34PPSCh. 3.3 - Prob. 35PPSCh. 3.3 - Prob. 36PPSCh. 3.3 - Prob. 37PPSCh. 3.3 - Prob. 38PPSCh. 3.3 - Prob. 39PPSCh. 3.3 - Prob. 40PPSCh. 3.3 - Prob. 41PPSCh. 3.3 - Prob. 42PPSCh. 3.3 - Prob. 43PPSCh. 3.3 - Prob. 44PPSCh. 3.3 - Prob. 45PPSCh. 3.3 - Prob. 46PPSCh. 3.3 - Prob. 47PPSCh. 3.3 - Prob. 48PPSCh. 3.3 - Prob. 49PPSCh. 3.3 - Prob. 50PPSCh. 3.3 - Prob. 51PPSCh. 3.3 - Prob. 52HPCh. 3.3 - Prob. 53HPCh. 3.3 - Prob. 54HPCh. 3.3 - Prob. 55HPCh. 3.3 - Prob. 56HPCh. 3.3 - Prob. 57HPCh. 3.3 - Prob. 58STPCh. 3.3 - Prob. 59STPCh. 3.3 - Prob. 60STPCh. 3.3 - Prob. 61STPCh. 3.3 - Prob. 62SPRCh. 3.3 - Prob. 63SPRCh. 3.3 - Prob. 64SPRCh. 3.3 - Prob. 65SPRCh. 3.3 - Prob. 66SPRCh. 3.3 - Prob. 67SPRCh. 3.3 - Prob. 68SPRCh. 3.3 - Prob. 69SPRCh. 3.3 - Prob. 70SPRCh. 3.3 - Prob. 71SPRCh. 3.3 - Prob. 72SRCh. 3.3 - Prob. 73SRCh. 3.3 - Prob. 74SRCh. 3.4 - Prob. 1CYPCh. 3.4 - Prob. 2CYPCh. 3.4 - Prob. 3ACYPCh. 3.4 - Prob. 3BCYPCh. 3.4 - Prob. 4CYPCh. 3.4 - Prob. 5CYPCh. 3.4 - Prob. 6CYPCh. 3.4 - Prob. 1CYUCh. 3.4 - Prob. 2CYUCh. 3.4 - Prob. 3CYUCh. 3.4 - Prob. 4CYUCh. 3.4 - Prob. 5CYUCh. 3.4 - Prob. 6CYUCh. 3.4 - Prob. 7CYUCh. 3.4 - Prob. 8CYUCh. 3.4 - Prob. 9CYUCh. 3.4 - Prob. 10CYUCh. 3.4 - Prob. 11CYUCh. 3.4 - Prob. 12CYUCh. 3.4 - Prob. 13PPSCh. 3.4 - Prob. 14PPSCh. 3.4 - Prob. 15PPSCh. 3.4 - Prob. 16PPSCh. 3.4 - Prob. 17PPSCh. 3.4 - Prob. 18PPSCh. 3.4 - Prob. 19PPSCh. 3.4 - Prob. 20PPSCh. 3.4 - Prob. 21PPSCh. 3.4 - Prob. 22PPSCh. 3.4 - Prob. 23PPSCh. 3.4 - Prob. 24PPSCh. 3.4 - Prob. 25PPSCh. 3.4 - Prob. 26PPSCh. 3.4 - Prob. 27PPSCh. 3.4 - Prob. 28PPSCh. 3.4 - Prob. 29PPSCh. 3.4 - Prob. 30PPSCh. 3.4 - Prob. 31PPSCh. 3.4 - Prob. 32PPSCh. 3.4 - Prob. 33PPSCh. 3.4 - Prob. 34PPSCh. 3.4 - Prob. 35PPSCh. 3.4 - Prob. 36PPSCh. 3.4 - Prob. 37PPSCh. 3.4 - Prob. 38PPSCh. 3.4 - Prob. 39PPSCh. 3.4 - Prob. 40PPSCh. 3.4 - Prob. 41PPSCh. 3.4 - Prob. 42PPSCh. 3.4 - Prob. 43PPSCh. 3.4 - Prob. 44PPSCh. 3.4 - Prob. 45PPSCh. 3.4 - Prob. 46PPSCh. 3.4 - Prob. 47PPSCh. 3.4 - Prob. 48PPSCh. 3.4 - Prob. 49PPSCh. 3.4 - Prob. 50PPSCh. 3.4 - Prob. 51PPSCh. 3.4 - Prob. 52PPSCh. 3.4 - Prob. 53PPSCh. 3.4 - Prob. 54PPSCh. 3.4 - Prob. 55HPCh. 3.4 - Prob. 56HPCh. 3.4 - Prob. 57HPCh. 3.4 - Prob. 58HPCh. 3.4 - Prob. 59HPCh. 3.4 - Prob. 60STPCh. 3.4 - Prob. 61STPCh. 3.4 - Prob. 62STPCh. 3.4 - Prob. 63STPCh. 3.4 - Prob. 64SPRCh. 3.4 - Prob. 65SPRCh. 3.4 - Prob. 66SPRCh. 3.4 - Prob. 67SPRCh. 3.4 - Prob. 68SPRCh. 3.4 - Prob. 69SPRCh. 3.4 - Prob. 70SRCh. 3.4 - Prob. 71SRCh. 3.4 - Prob. 72SRCh. 3.4 - Prob. 73SRCh. 3.5 - Prob. 1ACYPCh. 3.5 - Prob. 1BCYPCh. 3.5 - Prob. 1CCYPCh. 3.5 - Prob. 1DCYPCh. 3.5 - Prob. 1ECYPCh. 3.5 - Prob. 1FCYPCh. 3.5 - Prob. 2CYPCh. 3.5 - Prob. 3CYPCh. 3.5 - Prob. 1CYUCh. 3.5 - Prob. 2CYUCh. 3.5 - Prob. 3CYUCh. 3.5 - Prob. 4CYUCh. 3.5 - Prob. 5CYUCh. 3.5 - Prob. 6CYUCh. 3.5 - Prob. 7CYUCh. 3.5 - Prob. 8PPSCh. 3.5 - Prob. 9PPSCh. 3.5 - Prob. 10PPSCh. 3.5 - Prob. 11PPSCh. 3.5 - Prob. 12PPSCh. 3.5 - Prob. 13PPSCh. 3.5 - Prob. 14PPSCh. 3.5 - Prob. 15PPSCh. 3.5 - Prob. 16PPSCh. 3.5 - Prob. 17PPSCh. 3.5 - Prob. 18PPSCh. 3.5 - Prob. 19PPSCh. 3.5 - Prob. 20PPSCh. 3.5 - Prob. 21PPSCh. 3.5 - Prob. 22PPSCh. 3.5 - Prob. 23PPSCh. 3.5 - Prob. 24PPSCh. 3.5 - Prob. 25PPSCh. 3.5 - Prob. 26PPSCh. 3.5 - Prob. 27PPSCh. 3.5 - Prob. 28PPSCh. 3.5 - Prob. 29PPSCh. 3.5 - Prob. 30PPSCh. 3.5 - Prob. 31PPSCh. 3.5 - Prob. 32PPSCh. 3.5 - Prob. 33PPSCh. 3.5 - Prob. 34PPSCh. 3.5 - Prob. 35PPSCh. 3.5 - Prob. 36PPSCh. 3.5 - Prob. 37HPCh. 3.5 - Prob. 38HPCh. 3.5 - Prob. 39HPCh. 3.5 - Prob. 40HPCh. 3.5 - Prob. 41HPCh. 3.5 - Prob. 42HPCh. 3.5 - Prob. 43HPCh. 3.5 - Prob. 44STPCh. 3.5 - Prob. 45STPCh. 3.5 - Prob. 46STPCh. 3.5 - Prob. 47STPCh. 3.5 - Prob. 48SPRCh. 3.5 - Prob. 49SPRCh. 3.5 - Prob. 50SPRCh. 3.5 - Prob. 51SPRCh. 3.5 - Prob. 52SPRCh. 3.5 - Prob. 53SPRCh. 3.5 - Prob. 54SPRCh. 3.5 - Prob. 55SPRCh. 3.5 - Prob. 56SPRCh. 3.5 - Prob. 57SRCh. 3.6 - Prob. 1CYPCh. 3.6 - Prob. 2CYPCh. 3.6 - Prob. 3ACYPCh. 3.6 - Prob. 3BCYPCh. 3.6 - Prob. 1CYUCh. 3.6 - Prob. 2CYUCh. 3.6 - Prob. 3CYUCh. 3.6 - Prob. 4CYUCh. 3.6 - Prob. 5CYUCh. 3.6 - Prob. 6CYUCh. 3.6 - Prob. 7CYUCh. 3.6 - Prob. 8CYUCh. 3.6 - Prob. 9PPSCh. 3.6 - Prob. 10PPSCh. 3.6 - Prob. 11PPSCh. 3.6 - Prob. 12PPSCh. 3.6 - Prob. 13PPSCh. 3.6 - Prob. 14PPSCh. 3.6 - Prob. 15PPSCh. 3.6 - Prob. 16PPSCh. 3.6 - Prob. 17PPSCh. 3.6 - Prob. 18PPSCh. 3.6 - Prob. 19PPSCh. 3.6 - Prob. 20PPSCh. 3.6 - Prob. 21PPSCh. 3.6 - Prob. 22PPSCh. 3.6 - Prob. 23PPSCh. 3.6 - Prob. 24PPSCh. 3.6 - Prob. 25PPSCh. 3.6 - Prob. 26PPSCh. 3.6 - Prob. 27PPSCh. 3.6 - Prob. 28PPSCh. 3.6 - Prob. 29PPSCh. 3.6 - Prob. 30PPSCh. 3.6 - Prob. 31PPSCh. 3.6 - Prob. 32PPSCh. 3.6 - Prob. 33PPSCh. 3.6 - Prob. 34PPSCh. 3.6 - Prob. 35PPSCh. 3.6 - Prob. 36PPSCh. 3.6 - Prob. 37PPSCh. 3.6 - Prob. 38PPSCh. 3.6 - Prob. 39PPSCh. 3.6 - Prob. 40PPSCh. 3.6 - Prob. 41HPCh. 3.6 - Prob. 42HPCh. 3.6 - Prob. 43HPCh. 3.6 - Prob. 44HPCh. 3.6 - Prob. 45HPCh. 3.6 - Prob. 46HPCh. 3.6 - Prob. 47HPCh. 3.6 - Prob. 48STPCh. 3.6 - Prob. 49STPCh. 3.6 - Prob. 50STPCh. 3.6 - Prob. 51STPCh. 3.6 - Prob. 52SPRCh. 3.6 - Prob. 53SPRCh. 3.6 - Prob. 54SPRCh. 3.6 - Prob. 55SPRCh. 3.6 - Prob. 56SPRCh. 3.6 - Prob. 57SPRCh. 3.6 - Prob. 58SPRCh. 3.6 - Prob. 59SPRCh. 3.6 - Prob. 60SRCh. 3.6 - Prob. 61SRCh. 3.6 - Prob. 62SRCh. 3.6 - Prob. 63SRCh. 3.6 - Prob. 64SRCh. 3.6 - Prob. 65SRCh. 3 - Prob. 1GRFCCh. 3 - Prob. 2GRFCCh. 3 - Prob. 3GRFCCh. 3 - Prob. 4GRFCCh. 3 - Prob. 5GRFCCh. 3 - Prob. 6GRFCCh. 3 - Prob. 7GRFCCh. 3 - Prob. 8GRFCCh. 3 - Prob. 9GRFCCh. 3 - Prob. 10GRFCCh. 3 - Prob. 11GRFCCh. 3 - Prob. 12GRFCCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 19MCQCh. 3 - Prob. 20MCQCh. 3 - Prob. 1SGRCh. 3 - Prob. 2SGRCh. 3 - Prob. 3SGRCh. 3 - Prob. 4SGRCh. 3 - Prob. 5SGRCh. 3 - Prob. 6SGRCh. 3 - Prob. 7SGRCh. 3 - Prob. 8SGRCh. 3 - Prob. 9SGRCh. 3 - Prob. 10SGRCh. 3 - Prob. 11SGRCh. 3 - Prob. 12SGRCh. 3 - Prob. 13SGRCh. 3 - Prob. 14SGRCh. 3 - Prob. 15SGRCh. 3 - Prob. 16SGRCh. 3 - Prob. 17SGRCh. 3 - Prob. 18SGRCh. 3 - Prob. 19SGRCh. 3 - Prob. 20SGRCh. 3 - Prob. 21SGRCh. 3 - Prob. 22SGRCh. 3 - Prob. 23SGRCh. 3 - Prob. 24SGRCh. 3 - Prob. 25SGRCh. 3 - Prob. 26SGRCh. 3 - Prob. 27SGRCh. 3 - Prob. 28SGRCh. 3 - Prob. 29SGRCh. 3 - Prob. 30SGRCh. 3 - Prob. 31SGRCh. 3 - Prob. 32SGRCh. 3 - Prob. 33SGRCh. 3 - 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