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 7.3, Problem 27WE

To determine

To Find: the values of x and y shown in two similar quadrilaterals.

Expert Solution & Answer

Answer to Problem 27WE

x=6.25,y=6.67 and z=5

Explanation of Solution

Given:

Figure is shown as.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 7.3, Problem 27WE , additional homework tip 1

Calculation:

Giving names to the vertices as shown below.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 7.3, Problem 27WE , additional homework tip 2

Scale factor the ratio of lengths of two corresponding sides of two similar polygons.

Since, Polygons ABCD is similar to AEGF, therefore AE≅AB

Scale factor is.

=AEAB=AEAE+EB=1010+14=1024=512

Calculating x.

Since, AG≅AD therefore.

Scale factor is.

AGAD=512x15=512x=5×1512x=6.25

Calculating y.

Since, GF≅DC therefore.

Scale factor is.

GFDC=512y16=512y=5×1612y=6.67

Calculating z.

Since, EF≅BC therefore.

Scale factor is.

EFBC=512z12=512z=5×1212z=5

Therefore, answer is x=6.25,y=6.67 and z=5 .

Chapter 7.3, Problem 26WE

Chapter 7.3, Problem 28WE

Chapter 7 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 7.1 - Prob. 1CE Ch. 7.1 - Prob. 2CE Ch. 7.1 - Prob. 3CE Ch. 7.1 - Prob. 4CE Ch. 7.1 - Prob. 5CE Ch. 7.1 - Prob. 6CE Ch. 7.1 - Prob. 7CE Ch. 7.1 - Prob. 8CE Ch. 7.1 - Prob. 9CE Ch. 7.1 - Prob. 10CE

Ch. 7.1 - Prob. 11CE Ch. 7.1 - Prob. 12CE Ch. 7.1 - Prob. 13CE Ch. 7.1 - Prob. 14CE Ch. 7.1 - Prob. 15CE Ch. 7.1 - Prob. 16CE Ch. 7.1 - Prob. 17CE Ch. 7.1 - Prob. 18CE Ch. 7.1 - Prob. 1WE Ch. 7.1 - Prob. 2WE Ch. 7.1 - Prob. 3WE Ch. 7.1 - Prob. 4WE Ch. 7.1 - Prob. 5WE Ch. 7.1 - Prob. 6WE Ch. 7.1 - Prob. 7WE Ch. 7.1 - Prob. 8WE Ch. 7.1 - Prob. 9WE Ch. 7.1 - Prob. 10WE Ch. 7.1 - Prob. 11WE Ch. 7.1 - Prob. 12WE Ch. 7.1 - Prob. 13WE Ch. 7.1 - Prob. 14WE Ch. 7.1 - Prob. 15WE Ch. 7.1 - Prob. 16WE Ch. 7.1 - Prob. 17WE Ch. 7.1 - Prob. 18WE Ch. 7.1 - Prob. 19WE Ch. 7.1 - Prob. 20WE Ch. 7.1 - Prob. 21WE Ch. 7.1 - Prob. 22WE Ch. 7.1 - Prob. 23WE Ch. 7.1 - Prob. 24WE Ch. 7.1 - Prob. 25WE Ch. 7.1 - Prob. 26WE Ch. 7.1 - Prob. 27WE Ch. 7.1 - Prob. 28WE Ch. 7.1 - Prob. 29WE Ch. 7.1 - Prob. 30WE Ch. 7.1 - Prob. 31WE Ch. 7.1 - Prob. 32WE Ch. 7.1 - Prob. 33WE Ch. 7.1 - Prob. 34WE Ch. 7.1 - Prob. 35WE Ch. 7.1 - Prob. 36WE Ch. 7.2 - Prob. 1CE Ch. 7.2 - Prob. 2CE Ch. 7.2 - Prob. 3CE Ch. 7.2 - Prob. 4CE Ch. 7.2 - Prob. 5CE Ch. 7.2 - Prob. 6CE Ch. 7.2 - Prob. 7CE Ch. 7.2 - Prob. 8CE Ch. 7.2 - Prob. 9CE Ch. 7.2 - Prob. 10CE Ch. 7.2 - Prob. 11CE Ch. 7.2 - Prob. 12CE Ch. 7.2 - Prob. 13CE Ch. 7.2 - Prob. 14CE Ch. 7.2 - Prob. 15CE Ch. 7.2 - Prob. 16CE Ch. 7.2 - Prob. 1WE Ch. 7.2 - Prob. 2WE Ch. 7.2 - Prob. 3WE Ch. 7.2 - Prob. 4WE Ch. 7.2 - Prob. 5WE Ch. 7.2 - Prob. 6WE Ch. 7.2 - Prob. 7WE Ch. 7.2 - Prob. 8WE Ch. 7.2 - Prob. 9WE Ch. 7.2 - Prob. 10WE Ch. 7.2 - Prob. 11WE Ch. 7.2 - Prob. 12WE Ch. 7.2 - Prob. 13WE Ch. 7.2 - Prob. 14WE Ch. 7.2 - Prob. 15WE Ch. 7.2 - Prob. 16WE Ch. 7.2 - Prob. 17WE Ch. 7.2 - Prob. 18WE Ch. 7.2 - Prob. 19WE Ch. 7.2 - Prob. 20WE Ch. 7.2 - Prob. 21WE Ch. 7.2 - Prob. 22WE Ch. 7.2 - Prob. 23WE Ch. 7.2 - Prob. 24WE Ch. 7.2 - Prob. 25WE Ch. 7.2 - Prob. 26WE Ch. 7.2 - Prob. 27WE Ch. 7.2 - Prob. 28WE Ch. 7.2 - Prob. 29WE Ch. 7.2 - Prob. 30WE Ch. 7.2 - Prob. 31WE Ch. 7.2 - Prob. 32WE Ch. 7.2 - Prob. 33WE Ch. 7.2 - Prob. 34WE Ch. 7.2 - Prob. 35WE Ch. 7.2 - Prob. 36WE Ch. 7.2 - Prob. 37WE Ch. 7.2 - Prob. 38WE Ch. 7.2 - Prob. 39WE Ch. 7.2 - Prob. 40WE Ch. 7.2 - Prob. 41WE Ch. 7.2 - Prob. 42WE Ch. 7.2 - Prob. 43WE Ch. 7.3 - Prob. 1CE Ch. 7.3 - Prob. 2CE Ch. 7.3 - Prob. 3CE Ch. 7.3 - Prob. 4CE Ch. 7.3 - Prob. 5CE Ch. 7.3 - Prob. 6CE Ch. 7.3 - Prob. 7CE Ch. 7.3 - Prob. 8CE Ch. 7.3 - Prob. 9CE Ch. 7.3 - Prob. 10CE Ch. 7.3 - Prob. 1WE Ch. 7.3 - Prob. 2WE Ch. 7.3 - Prob. 3WE Ch. 7.3 - Prob. 4WE Ch. 7.3 - Prob. 5WE Ch. 7.3 - Prob. 6WE Ch. 7.3 - Prob. 7WE Ch. 7.3 - Prob. 8WE Ch. 7.3 - Prob. 9WE Ch. 7.3 - Prob. 10WE Ch. 7.3 - Prob. 11WE Ch. 7.3 - Prob. 12WE Ch. 7.3 - Prob. 13WE Ch. 7.3 - Prob. 14WE Ch. 7.3 - Prob. 15WE Ch. 7.3 - Prob. 16WE Ch. 7.3 - Prob. 17WE Ch. 7.3 - Prob. 18WE Ch. 7.3 - Prob. 19WE Ch. 7.3 - Prob. 20WE Ch. 7.3 - Prob. 21WE Ch. 7.3 - Prob. 22WE Ch. 7.3 - Prob. 23WE Ch. 7.3 - Prob. 24WE Ch. 7.3 - Prob. 25WE Ch. 7.3 - Prob. 26WE Ch. 7.3 - Prob. 27WE Ch. 7.3 - Prob. 28WE Ch. 7.3 - Prob. 29WE Ch. 7.3 - Prob. 30WE Ch. 7.3 - Prob. 31WE Ch. 7.3 - Prob. 32WE Ch. 7.3 - Prob. 33WE Ch. 7.3 - Prob. 34WE Ch. 7.3 - Prob. 35WE Ch. 7.3 - Prob. 36WE Ch. 7.3 - Prob. 37WE Ch. 7.3 - Prob. 1ST1 Ch. 7.3 - Prob. 2ST1 Ch. 7.3 - Prob. 3ST1 Ch. 7.3 - Prob. 4ST1 Ch. 7.3 - Prob. 5ST1 Ch. 7.3 - Prob. 6ST1 Ch. 7.3 - Prob. 7ST1 Ch. 7.3 - Prob. 8ST1 Ch. 7.3 - Prob. 9ST1 Ch. 7.3 - Prob. 10ST1 Ch. 7.3 - Prob. 11ST1 Ch. 7.3 - Prob. 12ST1 Ch. 7.3 - Prob. 13ST1 Ch. 7.3 - Prob. 14ST1 Ch. 7.3 - Prob. 15ST1 Ch. 7.3 - Prob. 1E Ch. 7.3 - Prob. 2E Ch. 7.4 - Prob. 1CE Ch. 7.4 - Prob. 2CE Ch. 7.4 - Prob. 3CE Ch. 7.4 - Prob. 4CE Ch. 7.4 - Prob. 5CE Ch. 7.4 - Prob. 6CE Ch. 7.4 - Prob. 7CE Ch. 7.4 - Prob. 8CE Ch. 7.4 - Prob. 9CE Ch. 7.4 - Prob. 10CE Ch. 7.4 - Prob. 11CE Ch. 7.4 - Prob. 12CE Ch. 7.4 - Prob. 13CE Ch. 7.4 - Prob. 1WE Ch. 7.4 - Prob. 2WE Ch. 7.4 - Prob. 3WE Ch. 7.4 - Prob. 4WE Ch. 7.4 - Prob. 5WE Ch. 7.4 - Prob. 6WE Ch. 7.4 - Prob. 7WE Ch. 7.4 - Prob. 8WE Ch. 7.4 - Prob. 9WE Ch. 7.4 - Prob. 10WE Ch. 7.4 - Prob. 11WE Ch. 7.4 - Prob. 12WE Ch. 7.4 - Prob. 13WE Ch. 7.4 - Prob. 14WE Ch. 7.4 - Prob. 15WE Ch. 7.4 - Prob. 16WE Ch. 7.4 - Prob. 17WE Ch. 7.4 - Prob. 18WE Ch. 7.4 - Prob. 19WE Ch. 7.4 - Prob. 20WE Ch. 7.4 - Prob. 21WE Ch. 7.4 - Prob. 22WE Ch. 7.4 - Prob. 23WE Ch. 7.4 - Prob. 24WE Ch. 7.4 - Prob. 25WE Ch. 7.4 - Prob. 26WE Ch. 7.4 - Prob. 27WE Ch. 7.4 - Prob. 28WE Ch. 7.4 - Prob. 29WE Ch. 7.4 - Prob. 30WE Ch. 7.4 - Prob. 31WE Ch. 7.4 - Prob. 32WE Ch. 7.4 - Prob. 33WE Ch. 7.4 - Prob. 34WE Ch. 7.4 - Prob. 35WE Ch. 7.4 - Prob. 1C Ch. 7.4 - Prob. 2C Ch. 7.4 - Prob. 1AE Ch. 7.4 - Prob. 2AE Ch. 7.4 - Prob. 3AE Ch. 7.4 - Prob. 4AE Ch. 7.4 - Prob. 1BE Ch. 7.4 - Prob. 2BE Ch. 7.4 - Prob. 3BE Ch. 7.4 - Prob. 4BE Ch. 7.5 - Prob. 1CE Ch. 7.5 - Prob. 2CE Ch. 7.5 - Prob. 3CE Ch. 7.5 - Prob. 4CE Ch. 7.5 - Prob. 5CE Ch. 7.5 - Prob. 6CE Ch. 7.5 - Prob. 7CE Ch. 7.5 - Prob. 8CE Ch. 7.5 - Prob. 9CE Ch. 7.5 - Prob. 1WE Ch. 7.5 - Prob. 2WE Ch. 7.5 - Prob. 3WE Ch. 7.5 - Prob. 4WE Ch. 7.5 - Prob. 5WE Ch. 7.5 - Prob. 6WE Ch. 7.5 - Prob. 7WE Ch. 7.5 - Prob. 8WE Ch. 7.5 - Prob. 9WE Ch. 7.5 - Prob. 10WE Ch. 7.5 - Prob. 11WE Ch. 7.5 - Prob. 12WE Ch. 7.5 - Prob. 13WE Ch. 7.5 - Prob. 14WE Ch. 7.5 - Prob. 15WE Ch. 7.5 - Prob. 16WE Ch. 7.5 - Prob. 17WE Ch. 7.5 - Prob. 18WE Ch. 7.5 - Prob. 19WE Ch. 7.5 - Prob. 20WE Ch. 7.5 - Prob. 21WE Ch. 7.5 - Prob. 22WE Ch. 7.5 - Prob. 23WE Ch. 7.5 - Prob. 1MRE Ch. 7.5 - Prob. 2MRE Ch. 7.6 - Prob. 1CE Ch. 7.6 - Prob. 2CE Ch. 7.6 - Prob. 3CE Ch. 7.6 - Prob. 4CE Ch. 7.6 - Prob. 5CE Ch. 7.6 - Prob. 6CE Ch. 7.6 - Prob. 7CE Ch. 7.6 - Prob. 8CE Ch. 7.6 - Prob. 9CE Ch. 7.6 - Prob. 1WE Ch. 7.6 - Prob. 2WE Ch. 7.6 - Prob. 3WE Ch. 7.6 - Prob. 4WE Ch. 7.6 - Prob. 5WE Ch. 7.6 - Prob. 6WE Ch. 7.6 - Prob. 7WE Ch. 7.6 - Prob. 8WE Ch. 7.6 - Prob. 9WE Ch. 7.6 - Prob. 10WE Ch. 7.6 - Prob. 11WE Ch. 7.6 - Prob. 12WE Ch. 7.6 - Prob. 13WE Ch. 7.6 - Prob. 14WE Ch. 7.6 - Prob. 15WE Ch. 7.6 - Prob. 16WE Ch. 7.6 - Prob. 17WE Ch. 7.6 - Prob. 18WE Ch. 7.6 - Prob. 19WE Ch. 7.6 - Prob. 20WE Ch. 7.6 - Prob. 21WE Ch. 7.6 - Prob. 22WE Ch. 7.6 - Prob. 23WE Ch. 7.6 - Prob. 24WE Ch. 7.6 - Prob. 25WE Ch. 7.6 - Prob. 26WE Ch. 7.6 - Prob. 27WE Ch. 7.6 - Prob. 28WE Ch. 7.6 - Prob. 29WE Ch. 7.6 - Prob. 30WE Ch. 7.6 - Prob. 31WE Ch. 7.6 - Prob. 32WE Ch. 7.6 - Prob. 33WE Ch. 7.6 - Prob. 1ST2 Ch. 7.6 - Prob. 2ST2 Ch. 7.6 - Prob. 3ST2 Ch. 7.6 - Prob. 4ST2 Ch. 7.6 - Prob. 5ST2 Ch. 7.6 - Prob. 6ST2 Ch. 7.6 - Prob. 7ST2 Ch. 7.6 - Prob. 8ST2 Ch. 7.6 - Prob. 9ST2 Ch. 7.6 - Prob. 10ST2 Ch. 7.6 - Prob. 11ST2 Ch. 7.6 - Prob. 1E Ch. 7.6 - Prob. 2E Ch. 7.6 - Prob. 3E Ch. 7.6 - Prob. 4E Ch. 7.6 - Prob. 5E Ch. 7.6 - Prob. 6E Ch. 7.6 - Prob. 7E Ch. 7 - Prob. 1CR Ch. 7 - Prob. 2CR Ch. 7 - Prob. 3CR Ch. 7 - Prob. 4CR Ch. 7 - Prob. 5CR Ch. 7 - Prob. 6CR Ch. 7 - Prob. 7CR Ch. 7 - Prob. 8CR Ch. 7 - Prob. 9CR Ch. 7 - Prob. 10CR Ch. 7 - Prob. 11CR Ch. 7 - Prob. 12CR Ch. 7 - Prob. 13CR Ch. 7 - Prob. 14CR Ch. 7 - Prob. 15CR Ch. 7 - Prob. 16CR Ch. 7 - Prob. 17CR Ch. 7 - Prob. 18CR Ch. 7 - Prob. 19CR Ch. 7 - Prob. 20CR Ch. 7 - Prob. 21CR Ch. 7 - Prob. 22CR Ch. 7 - Prob. 23CR Ch. 7 - Prob. 24CR Ch. 7 - Prob. 1CT Ch. 7 - Prob. 2CT Ch. 7 - Prob. 3CT Ch. 7 - Prob. 4CT Ch. 7 - Prob. 5CT Ch. 7 - Prob. 6CT Ch. 7 - Prob. 7CT Ch. 7 - Prob. 8CT Ch. 7 - Prob. 9CT Ch. 7 - Prob. 10CT Ch. 7 - Prob. 11CT Ch. 7 - Prob. 12CT Ch. 7 - Prob. 13CT Ch. 7 - Prob. 14CT Ch. 7 - Prob. 15CT Ch. 7 - Prob. 16CT Ch. 7 - Prob. 1AR Ch. 7 - Prob. 2AR Ch. 7 - Prob. 3AR Ch. 7 - Prob. 4AR Ch. 7 - Prob. 5AR Ch. 7 - Prob. 6AR Ch. 7 - Prob. 7AR Ch. 7 - Prob. 8AR Ch. 7 - Prob. 9AR Ch. 7 - Prob. 10AR Ch. 7 - Prob. 11AR Ch. 7 - Prob. 12AR Ch. 7 - Prob. 13AR Ch. 7 - Prob. 14AR Ch. 7 - Prob. 15AR Ch. 7 - Prob. 16AR Ch. 7 - Prob. 17AR Ch. 7 - Prob. 18AR Ch. 7 - Prob. 19AR Ch. 7 - Prob. 20AR Ch. 7 - Prob. 21AR Ch. 7 - Prob. 22AR Ch. 7 - Prob. 23AR Ch. 7 - Prob. 24AR Ch. 7 - Prob. 25AR Ch. 7 - Prob. 26AR Ch. 7 - Prob. 27AR Ch. 7 - Prob. 28AR Ch. 7 - Prob. 29AR Ch. 7 - Prob. 1CUR Ch. 7 - Prob. 2CUR Ch. 7 - Prob. 3CUR Ch. 7 - Prob. 4CUR Ch. 7 - Prob. 5CUR Ch. 7 - Prob. 6CUR Ch. 7 - Prob. 7CUR Ch. 7 - Prob. 8CUR Ch. 7 - Prob. 9CUR Ch. 7 - Prob. 10CUR Ch. 7 - Prob. 11CUR Ch. 7 - Prob. 1MCE Ch. 7 - Prob. 2MCE Ch. 7 - Prob. 3MCE Ch. 7 - Prob. 4MCE Ch. 7 - Prob. 5MCE Ch. 7 - Prob. 1ASNE Ch. 7 - Prob. 2ASNE Ch. 7 - Prob. 3ASNE Ch. 7 - Prob. 4ASNE Ch. 7 - Prob. 5ASNE Ch. 7 - Prob. 6ASNE Ch. 7 - Prob. 7ASNE Ch. 7 - Prob. 8ASNE Ch. 7 - Prob. 9ASNE Ch. 7 - Prob. 10ASNE Ch. 7 - Prob. 11ASNE Ch. 7 - Prob. 12ASNE Ch. 7 - Prob. 13ASNE Ch. 7 - Prob. 14ASNE Ch. 7 - Prob. 15ASNE Ch. 7 - Prob. 16ASNE Ch. 7 - Prob. 1CPE Ch. 7 - Prob. 2CPE Ch. 7 - Prob. 3CPE Ch. 7 - Prob. 4CPE Ch. 7 - Prob. 5CPE Ch. 7 - Prob. 6CPE Ch. 7 - Prob. 7CPE Ch. 7 - Prob. 8CPE Ch. 7 - Prob. 9CPE Ch. 7 - Prob. 1AE Ch. 7 - Prob. 2AE Ch. 7 - Prob. 3AE Ch. 7 - Prob. 4AE Ch. 7 - Prob. 5AE Ch. 7 - Prob. 6AE Ch. 7 - Prob. 7AE Ch. 7 - Prob. 8AE Ch. 7 - Prob. 9AE Ch. 7 - Prob. 10AE Ch. 7 - Prob. 11AE Ch. 7 - Prob. 12AE Ch. 7 - Prob. 13AE Ch. 7 - Prob. 14AE Ch. 7 - Prob. 15AE Ch. 7 - Prob. 1PE Ch. 7 - Prob. 2PE Ch. 7 - Prob. 3PE Ch. 7 - Prob. 4PE Ch. 7 - Prob. 5PE Ch. 7 - Prob. 6PE

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