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 7, Problem 15AE
To determine

To find: the values of x and y.

Expert Solution & Answer
Check Mark

Answer to Problem 15AE

  x=6 and y=72=3.5

Explanation of Solution

Given:

  ABDC

  ADGC

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 7, Problem 15AE

  Since ADGC , so ADBC.

  AB=DC (distance between parallel lines is equal throughout)

   Since, ABDC , so

  AD=BC (distance between parallel lines is equal throughout)

   In ΔDEC and ΔAEF,

  DEC=AEF (vertically opposite angles)

  EDC=EFA (alternate interior angles are equal)

  ΔDEC is similar to ΔAEF by Angle-Angle (AA) similarity criteria.

So,

  DCAF=AEEC

  128=x9

  x=8×912=6

  x=6

In ΔDEA and ΔCEG,

  DEA=CEG (vertically opposite angles)

  EAD=ECG (alternate interior angles are equal)

  ΔDEA is similar to ΔCEG by Angle-Angle (AA) similarity criteria.

So,

  AEEC=ADCG

  x9=77+y

  7+y=7×96 ( x=6 )

  y=72=3.5

Conclusion:

Hence, the values are x=6 and y=72=3.5 .

Chapter 7 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 7.1 - Prob. 11CECh. 7.1 - Prob. 12CECh. 7.1 - Prob. 13CECh. 7.1 - Prob. 14CECh. 7.1 - Prob. 15CECh. 7.1 - Prob. 16CECh. 7.1 - Prob. 17CECh. 7.1 - Prob. 18CECh. 7.1 - Prob. 1WECh. 7.1 - Prob. 2WECh. 7.1 - Prob. 3WECh. 7.1 - Prob. 4WECh. 7.1 - Prob. 5WECh. 7.1 - Prob. 6WECh. 7.1 - Prob. 7WECh. 7.1 - Prob. 8WECh. 7.1 - Prob. 9WECh. 7.1 - Prob. 10WECh. 7.1 - Prob. 11WECh. 7.1 - Prob. 12WECh. 7.1 - Prob. 13WECh. 7.1 - Prob. 14WECh. 7.1 - Prob. 15WECh. 7.1 - Prob. 16WECh. 7.1 - Prob. 17WECh. 7.1 - Prob. 18WECh. 7.1 - Prob. 19WECh. 7.1 - Prob. 20WECh. 7.1 - Prob. 21WECh. 7.1 - Prob. 22WECh. 7.1 - Prob. 23WECh. 7.1 - Prob. 24WECh. 7.1 - Prob. 25WECh. 7.1 - Prob. 26WECh. 7.1 - Prob. 27WECh. 7.1 - Prob. 28WECh. 7.1 - Prob. 29WECh. 7.1 - Prob. 30WECh. 7.1 - Prob. 31WECh. 7.1 - Prob. 32WECh. 7.1 - Prob. 33WECh. 7.1 - Prob. 34WECh. 7.1 - Prob. 35WECh. 7.1 - Prob. 36WECh. 7.2 - Prob. 1CECh. 7.2 - Prob. 2CECh. 7.2 - Prob. 3CECh. 7.2 - Prob. 4CECh. 7.2 - Prob. 5CECh. 7.2 - Prob. 6CECh. 7.2 - Prob. 7CECh. 7.2 - Prob. 8CECh. 7.2 - Prob. 9CECh. 7.2 - Prob. 10CECh. 7.2 - Prob. 11CECh. 7.2 - Prob. 12CECh. 7.2 - Prob. 13CECh. 7.2 - Prob. 14CECh. 7.2 - Prob. 15CECh. 7.2 - Prob. 16CECh. 7.2 - Prob. 1WECh. 7.2 - Prob. 2WECh. 7.2 - Prob. 3WECh. 7.2 - Prob. 4WECh. 7.2 - Prob. 5WECh. 7.2 - Prob. 6WECh. 7.2 - Prob. 7WECh. 7.2 - Prob. 8WECh. 7.2 - Prob. 9WECh. 7.2 - Prob. 10WECh. 7.2 - Prob. 11WECh. 7.2 - Prob. 12WECh. 7.2 - Prob. 13WECh. 7.2 - Prob. 14WECh. 7.2 - Prob. 15WECh. 7.2 - Prob. 16WECh. 7.2 - Prob. 17WECh. 7.2 - Prob. 18WECh. 7.2 - Prob. 19WECh. 7.2 - Prob. 20WECh. 7.2 - Prob. 21WECh. 7.2 - Prob. 22WECh. 7.2 - Prob. 23WECh. 7.2 - Prob. 24WECh. 7.2 - Prob. 25WECh. 7.2 - Prob. 26WECh. 7.2 - Prob. 27WECh. 7.2 - Prob. 28WECh. 7.2 - Prob. 29WECh. 7.2 - Prob. 30WECh. 7.2 - Prob. 31WECh. 7.2 - Prob. 32WECh. 7.2 - Prob. 33WECh. 7.2 - Prob. 34WECh. 7.2 - Prob. 35WECh. 7.2 - Prob. 36WECh. 7.2 - Prob. 37WECh. 7.2 - Prob. 38WECh. 7.2 - Prob. 39WECh. 7.2 - Prob. 40WECh. 7.2 - Prob. 41WECh. 7.2 - Prob. 42WECh. 7.2 - 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Prob. 23WECh. 7.5 - Prob. 1MRECh. 7.5 - Prob. 2MRECh. 7.6 - Prob. 1CECh. 7.6 - Prob. 2CECh. 7.6 - Prob. 3CECh. 7.6 - Prob. 4CECh. 7.6 - Prob. 5CECh. 7.6 - Prob. 6CECh. 7.6 - Prob. 7CECh. 7.6 - Prob. 8CECh. 7.6 - Prob. 9CECh. 7.6 - Prob. 1WECh. 7.6 - Prob. 2WECh. 7.6 - Prob. 3WECh. 7.6 - Prob. 4WECh. 7.6 - Prob. 5WECh. 7.6 - Prob. 6WECh. 7.6 - Prob. 7WECh. 7.6 - Prob. 8WECh. 7.6 - Prob. 9WECh. 7.6 - Prob. 10WECh. 7.6 - Prob. 11WECh. 7.6 - Prob. 12WECh. 7.6 - Prob. 13WECh. 7.6 - Prob. 14WECh. 7.6 - Prob. 15WECh. 7.6 - Prob. 16WECh. 7.6 - Prob. 17WECh. 7.6 - Prob. 18WECh. 7.6 - Prob. 19WECh. 7.6 - Prob. 20WECh. 7.6 - Prob. 21WECh. 7.6 - Prob. 22WECh. 7.6 - Prob. 23WECh. 7.6 - Prob. 24WECh. 7.6 - Prob. 25WECh. 7.6 - Prob. 26WECh. 7.6 - Prob. 27WECh. 7.6 - Prob. 28WECh. 7.6 - Prob. 29WECh. 7.6 - Prob. 30WECh. 7.6 - Prob. 31WECh. 7.6 - Prob. 32WECh. 7.6 - Prob. 33WECh. 7.6 - Prob. 1ST2Ch. 7.6 - Prob. 2ST2Ch. 7.6 - Prob. 3ST2Ch. 7.6 - Prob. 4ST2Ch. 7.6 - Prob. 5ST2Ch. 7.6 - Prob. 6ST2Ch. 7.6 - Prob. 7ST2Ch. 7.6 - Prob. 8ST2Ch. 7.6 - Prob. 9ST2Ch. 7.6 - Prob. 10ST2Ch. 7.6 - Prob. 11ST2Ch. 7.6 - Prob. 1ECh. 7.6 - Prob. 2ECh. 7.6 - Prob. 3ECh. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - Prob. 6ECh. 7.6 - Prob. 7ECh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 17CRCh. 7 - Prob. 18CRCh. 7 - Prob. 19CRCh. 7 - Prob. 20CRCh. 7 - Prob. 21CRCh. 7 - Prob. 22CRCh. 7 - Prob. 23CRCh. 7 - Prob. 24CRCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 12CTCh. 7 - Prob. 13CTCh. 7 - Prob. 14CTCh. 7 - Prob. 15CTCh. 7 - Prob. 16CTCh. 7 - Prob. 1ARCh. 7 - Prob. 2ARCh. 7 - Prob. 3ARCh. 7 - Prob. 4ARCh. 7 - Prob. 5ARCh. 7 - Prob. 6ARCh. 7 - Prob. 7ARCh. 7 - Prob. 8ARCh. 7 - Prob. 9ARCh. 7 - Prob. 10ARCh. 7 - Prob. 11ARCh. 7 - Prob. 12ARCh. 7 - Prob. 13ARCh. 7 - Prob. 14ARCh. 7 - Prob. 15ARCh. 7 - Prob. 16ARCh. 7 - Prob. 17ARCh. 7 - Prob. 18ARCh. 7 - Prob. 19ARCh. 7 - Prob. 20ARCh. 7 - Prob. 21ARCh. 7 - Prob. 22ARCh. 7 - Prob. 23ARCh. 7 - Prob. 24ARCh. 7 - Prob. 25ARCh. 7 - Prob. 26ARCh. 7 - Prob. 27ARCh. 7 - Prob. 28ARCh. 7 - Prob. 29ARCh. 7 - Prob. 1CURCh. 7 - Prob. 2CURCh. 7 - Prob. 3CURCh. 7 - Prob. 4CURCh. 7 - Prob. 5CURCh. 7 - Prob. 6CURCh. 7 - Prob. 7CURCh. 7 - Prob. 8CURCh. 7 - Prob. 9CURCh. 7 - Prob. 10CURCh. 7 - Prob. 11CURCh. 7 - Prob. 1MCECh. 7 - Prob. 2MCECh. 7 - Prob. 3MCECh. 7 - Prob. 4MCECh. 7 - Prob. 5MCECh. 7 - Prob. 1ASNECh. 7 - Prob. 2ASNECh. 7 - Prob. 3ASNECh. 7 - Prob. 4ASNECh. 7 - Prob. 5ASNECh. 7 - Prob. 6ASNECh. 7 - Prob. 7ASNECh. 7 - Prob. 8ASNECh. 7 - Prob. 9ASNECh. 7 - Prob. 10ASNECh. 7 - Prob. 11ASNECh. 7 - Prob. 12ASNECh. 7 - Prob. 13ASNECh. 7 - Prob. 14ASNECh. 7 - Prob. 15ASNECh. 7 - Prob. 16ASNECh. 7 - Prob. 1CPECh. 7 - Prob. 2CPECh. 7 - Prob. 3CPECh. 7 - Prob. 4CPECh. 7 - Prob. 5CPECh. 7 - Prob. 6CPECh. 7 - Prob. 7CPECh. 7 - Prob. 8CPECh. 7 - Prob. 9CPECh. 7 - Prob. 1AECh. 7 - Prob. 2AECh. 7 - Prob. 3AECh. 7 - Prob. 4AECh. 7 - Prob. 5AECh. 7 - Prob. 6AECh. 7 - Prob. 7AECh. 7 - Prob. 8AECh. 7 - Prob. 9AECh. 7 - Prob. 10AECh. 7 - Prob. 11AECh. 7 - Prob. 12AECh. 7 - Prob. 13AECh. 7 - Prob. 14AECh. 7 - Prob. 15AECh. 7 - Prob. 1PECh. 7 - Prob. 2PECh. 7 - Prob. 3PECh. 7 - Prob. 4PECh. 7 - Prob. 5PECh. 7 - Prob. 6PE
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