McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

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Question

Chapter 9.6, Problem 21WE

To determine

The value of mXY⌢

Expert Solution & Answer

Answer to Problem 21WE

The value of mXY⌢=115

Explanation of Solution

Given information:

It is given m∠P=65 in the figure,

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 9.6, Problem 21WE

Let mXY⌢=t

Therefore, mXZY⌢=360−t

The measure of an angle formed by a secant and a tangent drawn from the point outside a circle is equal to half the difference of the measures of the intercepted arcs.

Therefore from given figure

m∠P=12(mXZY⌢−mXY⌢)65=12{(360−t)−t}130=(360−2t)2t=360−1302t=230t=115

Therefore, the value of mXY⌢=115

Chapter 9.6, Problem 20WE

Chapter 9.6, Problem 22WE

Chapter 9 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 9.1 - Prob. 1CE Ch. 9.1 - Prob. 2CE Ch. 9.1 - Prob. 3CE Ch. 9.1 - Prob. 4CE Ch. 9.1 - Prob. 5CE Ch. 9.1 - Prob. 6CE Ch. 9.1 - Prob. 7CE Ch. 9.1 - Prob. 8CE Ch. 9.1 - Prob. 9CE Ch. 9.1 - Prob. 10CE

Ch. 9.1 - Prob. 11CE Ch. 9.1 - Prob. 1WE Ch. 9.1 - Prob. 2WE Ch. 9.1 - Prob. 3WE Ch. 9.1 - Prob. 4WE Ch. 9.1 - Prob. 5WE Ch. 9.1 - Prob. 6WE Ch. 9.1 - Prob. 7WE Ch. 9.1 - Prob. 8WE Ch. 9.1 - Prob. 9WE Ch. 9.1 - Prob. 10WE Ch. 9.1 - Prob. 11WE Ch. 9.1 - Prob. 12WE Ch. 9.1 - Prob. 13WE Ch. 9.1 - Prob. 14WE Ch. 9.1 - Prob. 15WE Ch. 9.1 - Prob. 16WE Ch. 9.1 - Prob. 17WE Ch. 9.1 - Prob. 18WE Ch. 9.1 - Prob. 19WE Ch. 9.1 - Prob. 20WE Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.2 - Prob. 1CE Ch. 9.2 - Prob. 2CE Ch. 9.2 - Prob. 3CE Ch. 9.2 - Prob. 4CE Ch. 9.2 - Prob. 5CE Ch. 9.2 - Prob. 1WE Ch. 9.2 - Prob. 2WE Ch. 9.2 - Prob. 3WE Ch. 9.2 - Prob. 4WE Ch. 9.2 - Prob. 5WE Ch. 9.2 - Prob. 6WE Ch. 9.2 - Prob. 7WE Ch. 9.2 - Prob. 8WE Ch. 9.2 - Prob. 9WE Ch. 9.2 - Prob. 10WE Ch. 9.2 - Prob. 11WE Ch. 9.2 - Prob. 12WE Ch. 9.2 - Prob. 13WE Ch. 9.2 - Prob. 14WE Ch. 9.2 - Prob. 15WE Ch. 9.2 - Prob. 16WE Ch. 9.2 - Prob. 17WE Ch. 9.2 - Prob. 18WE Ch. 9.2 - Prob. 19WE Ch. 9.2 - Prob. 20WE Ch. 9.2 - Prob. 21WE Ch. 9.2 - Prob. 22WE Ch. 9.2 - Prob. 23WE Ch. 9.2 - Prob. 1MRE Ch. 9.2 - Prob. 2MRE Ch. 9.2 - Prob. 3MRE Ch. 9.3 - Prob. 1CE Ch. 9.3 - Prob. 2CE Ch. 9.3 - Prob. 3CE Ch. 9.3 - Prob. 4CE Ch. 9.3 - Prob. 5CE Ch. 9.3 - Prob. 6CE Ch. 9.3 - Prob. 7CE Ch. 9.3 - Prob. 8CE Ch. 9.3 - Prob. 9CE Ch. 9.3 - Prob. 10CE Ch. 9.3 - Prob. 11CE Ch. 9.3 - Prob. 12CE Ch. 9.3 - Prob. 13CE Ch. 9.3 - Prob. 1WE Ch. 9.3 - Prob. 2WE Ch. 9.3 - Prob. 3WE Ch. 9.3 - Prob. 4WE Ch. 9.3 - Prob. 5WE Ch. 9.3 - Prob. 6WE Ch. 9.3 - Prob. 7WE Ch. 9.3 - Prob. 8WE Ch. 9.3 - Prob. 9WE Ch. 9.3 - Prob. 10WE Ch. 9.3 - Prob. 11WE Ch. 9.3 - Prob. 12WE Ch. 9.3 - Prob. 13WE Ch. 9.3 - Prob. 14WE Ch. 9.3 - Prob. 15WE Ch. 9.3 - Prob. 16WE Ch. 9.3 - Prob. 17WE Ch. 9.3 - Prob. 18WE Ch. 9.3 - Prob. 19WE Ch. 9.3 - Prob. 20WE Ch. 9.3 - Prob. 21WE Ch. 9.3 - Prob. 22WE Ch. 9.3 - Prob. 23WE Ch. 9.3 - Prob. 24WE Ch. 9.4 - Prob. 1CE Ch. 9.4 - Prob. 2CE Ch. 9.4 - Prob. 3CE Ch. 9.4 - Prob. 4CE Ch. 9.4 - Prob. 5CE Ch. 9.4 - Prob. 6CE Ch. 9.4 - Prob. 7CE Ch. 9.4 - Prob. 1WE Ch. 9.4 - Prob. 2WE Ch. 9.4 - Prob. 3WE Ch. 9.4 - Prob. 4WE Ch. 9.4 - Prob. 5WE Ch. 9.4 - Prob. 6WE Ch. 9.4 - Prob. 7WE Ch. 9.4 - Prob. 8WE Ch. 9.4 - Prob. 9WE Ch. 9.4 - Prob. 10WE Ch. 9.4 - Prob. 11WE Ch. 9.4 - Prob. 12WE Ch. 9.4 - Prob. 13WE Ch. 9.4 - Prob. 14WE Ch. 9.4 - Prob. 15WE Ch. 9.4 - Prob. 16WE Ch. 9.4 - Prob. 17WE Ch. 9.4 - Prob. 18WE Ch. 9.4 - Prob. 19WE Ch. 9.4 - Prob. 20WE Ch. 9.4 - Prob. 21WE Ch. 9.4 - Prob. 22WE Ch. 9.4 - Prob. 23WE Ch. 9.4 - Prob. 24WE Ch. 9.4 - Prob. 25WE Ch. 9.4 - Prob. 26WE Ch. 9.4 - Prob. 27WE Ch. 9.4 - Prob. 1ST1 Ch. 9.4 - Prob. 2ST1 Ch. 9.4 - Prob. 3ST1 Ch. 9.4 - Prob. 4ST1 Ch. 9.4 - Prob. 5ST1 Ch. 9.4 - Prob. 6ST1 Ch. 9.5 - Prob. 1CE Ch. 9.5 - Prob. 2CE Ch. 9.5 - Prob. 3CE Ch. 9.5 - Prob. 4CE Ch. 9.5 - Prob. 5CE Ch. 9.5 - Prob. 6CE Ch. 9.5 - Prob. 7CE Ch. 9.5 - Prob. 8CE Ch. 9.5 - Prob. 9CE Ch. 9.5 - Prob. 10CE Ch. 9.5 - Prob. 11CE Ch. 9.5 - Prob. 12CE Ch. 9.5 - Prob. 13CE Ch. 9.5 - Prob. 14CE Ch. 9.5 - Prob. 1WE Ch. 9.5 - Prob. 2WE Ch. 9.5 - Prob. 3WE Ch. 9.5 - Prob. 4WE Ch. 9.5 - Prob. 5WE Ch. 9.5 - Prob. 6WE Ch. 9.5 - Prob. 7WE Ch. 9.5 - Prob. 8WE Ch. 9.5 - Prob. 9WE Ch. 9.5 - Prob. 10WE Ch. 9.5 - Prob. 11WE Ch. 9.5 - Prob. 12WE Ch. 9.5 - Prob. 13WE Ch. 9.5 - Prob. 14WE Ch. 9.5 - Prob. 15WE Ch. 9.5 - Prob. 16WE Ch. 9.5 - Prob. 17WE Ch. 9.5 - Prob. 18WE Ch. 9.5 - Prob. 19WE Ch. 9.5 - Prob. 20WE Ch. 9.5 - Prob. 21WE Ch. 9.5 - Prob. 22WE Ch. 9.5 - Prob. 23WE Ch. 9.5 - Prob. 24WE Ch. 9.5 - Prob. 25WE Ch. 9.5 - Prob. 26WE Ch. 9.5 - Prob. 27WE Ch. 9.5 - Prob. 28WE Ch. 9.5 - Prob. 29WE Ch. 9.5 - Prob. 1MRE Ch. 9.5 - Prob. 2MRE Ch. 9.5 - Prob. 3MRE Ch. 9.5 - Prob. 4MRE Ch. 9.5 - Prob. 5MRE Ch. 9.5 - Prob. 6MRE Ch. 9.6 - Prob. 1CE Ch. 9.6 - Prob. 2CE Ch. 9.6 - Prob. 3CE Ch. 9.6 - Prob. 4CE Ch. 9.6 - Prob. 5CE Ch. 9.6 - Prob. 6CE Ch. 9.6 - Prob. 7CE Ch. 9.6 - Prob. 8CE Ch. 9.6 - Prob. 9CE Ch. 9.6 - Prob. 10CE Ch. 9.6 - Prob. 1WE Ch. 9.6 - Prob. 2WE Ch. 9.6 - Prob. 3WE Ch. 9.6 - Prob. 4WE Ch. 9.6 - Prob. 5WE Ch. 9.6 - Prob. 6WE Ch. 9.6 - Prob. 7WE Ch. 9.6 - Prob. 8WE Ch. 9.6 - Prob. 9WE Ch. 9.6 - Prob. 10WE Ch. 9.6 - Prob. 11WE Ch. 9.6 - Prob. 12WE Ch. 9.6 - Prob. 13WE Ch. 9.6 - Prob. 14WE Ch. 9.6 - Prob. 15WE Ch. 9.6 - Prob. 16WE Ch. 9.6 - Prob. 17WE Ch. 9.6 - Prob. 18WE Ch. 9.6 - Prob. 19WE Ch. 9.6 - Prob. 20WE Ch. 9.6 - Prob. 21WE Ch. 9.6 - Prob. 22WE Ch. 9.6 - Prob. 23WE Ch. 9.6 - Prob. 24WE Ch. 9.6 - Prob. 25WE Ch. 9.6 - Prob. 26WE Ch. 9.6 - Prob. 27WE Ch. 9.6 - Prob. 28WE Ch. 9.6 - Prob. 29WE Ch. 9.6 - Prob. 30WE Ch. 9.6 - Prob. 31WE Ch. 9.6 - Prob. 32WE Ch. 9.6 - Prob. 1EX Ch. 9.6 - Prob. 2EX Ch. 9.6 - Prob. 3EX Ch. 9.7 - Prob. 1CE Ch. 9.7 - Prob. 2CE Ch. 9.7 - Prob. 3CE Ch. 9.7 - Prob. 4CE Ch. 9.7 - Prob. 5CE Ch. 9.7 - Prob. 6CE Ch. 9.7 - Prob. 7CE Ch. 9.7 - Prob. 1WE Ch. 9.7 - Prob. 2WE Ch. 9.7 - Prob. 3WE Ch. 9.7 - Prob. 4WE Ch. 9.7 - Prob. 5WE Ch. 9.7 - Prob. 6WE Ch. 9.7 - Prob. 7WE Ch. 9.7 - Prob. 8WE Ch. 9.7 - Prob. 9WE Ch. 9.7 - Prob. 10WE Ch. 9.7 - Prob. 11WE Ch. 9.7 - Prob. 12WE Ch. 9.7 - Prob. 13WE Ch. 9.7 - Prob. 14WE Ch. 9.7 - Prob. 15WE Ch. 9.7 - Prob. 16WE Ch. 9.7 - Prob. 17WE Ch. 9.7 - Prob. 18WE Ch. 9.7 - Prob. 19WE Ch. 9.7 - Prob. 20WE Ch. 9.7 - Prob. 21WE Ch. 9.7 - Prob. 22WE Ch. 9.7 - Prob. 23WE Ch. 9.7 - Prob. 24WE Ch. 9.7 - Prob. 25WE Ch. 9.7 - Prob. 26WE Ch. 9.7 - Prob. 27WE Ch. 9.7 - Prob. 28WE Ch. 9.7 - Prob. 1ST2 Ch. 9.7 - Prob. 2ST2 Ch. 9.7 - Prob. 3ST2 Ch. 9.7 - Prob. 4ST2 Ch. 9.7 - Prob. 5ST2 Ch. 9.7 - Prob. 6ST2 Ch. 9.7 - Prob. 7ST2 Ch. 9.7 - Prob. 8ST2 Ch. 9.7 - Prob. 1E Ch. 9.7 - Prob. 2E Ch. 9.7 - Prob. 3E Ch. 9.7 - Prob. 4E Ch. 9.7 - Prob. 5E Ch. 9 - Prob. 1CR Ch. 9 - Prob. 2CR Ch. 9 - Prob. 3CR Ch. 9 - Prob. 4CR Ch. 9 - Prob. 5CR Ch. 9 - Prob. 6CR Ch. 9 - Prob. 7CR Ch. 9 - Prob. 8CR Ch. 9 - Prob. 9CR Ch. 9 - Prob. 10CR Ch. 9 - Prob. 11CR Ch. 9 - Prob. 12CR Ch. 9 - Prob. 13CR Ch. 9 - Prob. 14CR Ch. 9 - Prob. 15CR Ch. 9 - Prob. 16CR Ch. 9 - Prob. 17CR Ch. 9 - Prob. 18CR Ch. 9 - Prob. 19CR Ch. 9 - Prob. 20CR Ch. 9 - 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The value of m X Y ⌢