McDougal Littell Jurgensen Geometry: Student Edition Geometry
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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Chapter 5.3, Problem 13WE
To determine

To find: The value of x .

Expert Solution & Answer
Check Mark

Answer to Problem 13WE

The length of x is 11units .

Explanation of Solution

Given:

The parallel lines are shown below:

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 5.3, Problem 13WE

AE , BF , CG and DH are parallel to each other and EF = FG = GH . Length of AC and BD are 22x and 3x22 respectively.

Calculation:

Here, ADHE is the trapezoid as AE is parallel to DH .

As EF = FG = GH and AE , BF , CG and DH are parallel to each other then the lines BF and CG are the midsegment of the trapezoid.

Hence,

  AB=BC=CD

The length AC is,

  AC=AB+BC=BC+BCAC=2BC......(1)

The length BD is,

  BD=BD+BC=BC+BCBD=2BC......(2)

From equations (1) and (2), the length AC is equal to BD .

The length x is calculated as follows:

  AC=BD22x=3x224x=44x=11units

Thus, the length of x is 11units .

Chapter 5 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 5.1 - Prob. 11CECh. 5.1 - Prob. 12CECh. 5.1 - Prob. 13CECh. 5.1 - Prob. 14CECh. 5.1 - Prob. 15CECh. 5.1 - Prob. 16CECh. 5.1 - Prob. 17CECh. 5.1 - Prob. 18CECh. 5.1 - Prob. 1WECh. 5.1 - Prob. 2WECh. 5.1 - Prob. 3WECh. 5.1 - Prob. 4WECh. 5.1 - Prob. 5WECh. 5.1 - Prob. 6WECh. 5.1 - Prob. 7WECh. 5.1 - Prob. 8WECh. 5.1 - Prob. 9WECh. 5.1 - Prob. 10WECh. 5.1 - Prob. 11WECh. 5.1 - Prob. 12WECh. 5.1 - Prob. 13WECh. 5.1 - Prob. 14WECh. 5.1 - Prob. 15WECh. 5.1 - Prob. 16WECh. 5.1 - Prob. 17WECh. 5.1 - Prob. 18WECh. 5.1 - Prob. 19WECh. 5.1 - Prob. 20WECh. 5.1 - Prob. 21WECh. 5.1 - Prob. 22WECh. 5.1 - Prob. 23WECh. 5.1 - Prob. 24WECh. 5.1 - Prob. 25WECh. 5.1 - Prob. 26WECh. 5.1 - Prob. 27WECh. 5.1 - Prob. 28WECh. 5.1 - Prob. 29WECh. 5.1 - Prob. 30WECh. 5.1 - Prob. 31WECh. 5.1 - Prob. 32WECh. 5.1 - Prob. 33WECh. 5.1 - Prob. 34WECh. 5.1 - Prob. 35WECh. 5.1 - Prob. 36WECh. 5.1 - Prob. 37WECh. 5.1 - Prob. 38WECh. 5.1 - Prob. 39WECh. 5.2 - Prob. 1CECh. 5.2 - Prob. 2CECh. 5.2 - Prob. 3CECh. 5.2 - Prob. 4CECh. 5.2 - 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Prob. 10WECh. 5.3 - Prob. 11WECh. 5.3 - Prob. 12WECh. 5.3 - Prob. 13WECh. 5.3 - Prob. 14WECh. 5.3 - Prob. 15WECh. 5.3 - Prob. 16WECh. 5.3 - Prob. 17WECh. 5.3 - Prob. 18WECh. 5.3 - Prob. 19WECh. 5.3 - Prob. 20WECh. 5.3 - Prob. 21WECh. 5.3 - Prob. 22WECh. 5.3 - Prob. 23WECh. 5.3 - Prob. 24WECh. 5.3 - Prob. 25WECh. 5.3 - Prob. 1ST1Ch. 5.3 - Prob. 2ST1Ch. 5.3 - Prob. 3ST1Ch. 5.3 - Prob. 4ST1Ch. 5.3 - Prob. 5ST1Ch. 5.3 - Prob. 6ST1Ch. 5.3 - Prob. 7ST1Ch. 5.3 - Prob. 8ST1Ch. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - Prob. 5ECh. 5.3 - Prob. 6ECh. 5.4 - Prob. 1CECh. 5.4 - Prob. 2CECh. 5.4 - Prob. 3CECh. 5.4 - Prob. 4CECh. 5.4 - Prob. 5CECh. 5.4 - Prob. 6CECh. 5.4 - Prob. 7CECh. 5.4 - Prob. 8CECh. 5.4 - Prob. 9CECh. 5.4 - Prob. 10CECh. 5.4 - Prob. 11CECh. 5.4 - Prob. 1WECh. 5.4 - Prob. 2WECh. 5.4 - Prob. 3WECh. 5.4 - Prob. 4WECh. 5.4 - Prob. 5WECh. 5.4 - Prob. 6WECh. 5.4 - Prob. 7WECh. 5.4 - Prob. 8WECh. 5.4 - Prob. 9WECh. 5.4 - Prob. 10WECh. 5.4 - Prob. 11WECh. 5.4 - Prob. 12WECh. 5.4 - Prob. 13WECh. 5.4 - Prob. 14WECh. 5.4 - Prob. 15WECh. 5.4 - Prob. 16WECh. 5.4 - Prob. 17WECh. 5.4 - Prob. 18WECh. 5.4 - Prob. 19WECh. 5.4 - Prob. 20WECh. 5.4 - Prob. 21WECh. 5.4 - Prob. 22WECh. 5.4 - Prob. 23WECh. 5.4 - Prob. 24WECh. 5.4 - Prob. 25WECh. 5.4 - Prob. 26WECh. 5.4 - Prob. 27WECh. 5.4 - Prob. 28WECh. 5.4 - Prob. 29WECh. 5.4 - Prob. 30WECh. 5.4 - Prob. 31WECh. 5.4 - Prob. 32WECh. 5.4 - Prob. 33WECh. 5.4 - Prob. 34WECh. 5.4 - Prob. 35WECh. 5.4 - Prob. 36WECh. 5.4 - Prob. 37WECh. 5.4 - Prob. 38WECh. 5.4 - Prob. 39WECh. 5.4 - Prob. 40WECh. 5.4 - Prob. 41WECh. 5.4 - Prob. 42WECh. 5.4 - Prob. 1MRECh. 5.4 - Prob. 2MRECh. 5.4 - Prob. 3MRECh. 5.4 - Prob. 4MRECh. 5.4 - Prob. 5MRECh. 5.4 - Prob. 6MRECh. 5.4 - Prob. 7MRECh. 5.4 - Prob. 8MRECh. 5.4 - Prob. 9MRECh. 5.5 - Prob. 1CECh. 5.5 - Prob. 2CECh. 5.5 - Prob. 3CECh. 5.5 - Prob. 4CECh. 5.5 - Prob. 5CECh. 5.5 - Prob. 6CECh. 5.5 - Prob. 7CECh. 5.5 - Prob. 8CECh. 5.5 - Prob. 9CECh. 5.5 - Prob. 10CECh. 5.5 - Prob. 11CECh. 5.5 - 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Prob. 24CURCh. 5 - Prob. 25CURCh. 5 - Prob. 26CURCh. 5 - Prob. 27CURCh. 5 - Prob. 28CURCh. 5 - Prob. 29CURCh. 5 - Prob. 30CURCh. 5 - Prob. 31CUR
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