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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Chapter 7.3, Problem 39HP
To determine

To find: the value of YW.

Expert Solution & Answer
Check Mark

Answer to Problem 39HP

  x=6 .

Explanation of Solution

Given:

A pair of similar triangles has measures of 50,85, and 45 .

The side of one triangle measures is 3,4, and 5.2 and another triangle is x,x1.5, and x+1.8 .

Calculation:

According to the question, both triangles are similar. So, the corresponding sides are proportional.

Now, draw picture to help solve problem. Make sure that opposite the largest angle is the largest side, opposite the smallest angle is the smallest side.

  Geometry, Student Edition, Chapter 7.3, Problem 39HP

Set up proportion, then:

  x1.53=x4{given}4(x1.5)=3×x{cross-multiplication}4x6=3x{open the parenthesis}4x3x=6{arrange like terms}x=6

Hence, the value of x=6 .

Chapter 7 Solutions

Geometry, Student Edition

Ch. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8CYUCh. 7.1 - Prob. 9CYUCh. 7.1 - Prob. 10PPSCh. 7.1 - Prob. 11PPSCh. 7.1 - Prob. 12PPSCh. 7.1 - Prob. 13PPSCh. 7.1 - Prob. 14PPSCh. 7.1 - Prob. 15PPSCh. 7.1 - Prob. 16PPSCh. 7.1 - Prob. 17PPSCh. 7.1 - Prob. 18PPSCh. 7.1 - Prob. 19PPSCh. 7.1 - Prob. 20PPSCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - Prob. 40PPSCh. 7.1 - Prob. 41PPSCh. 7.1 - Prob. 42PPSCh. 7.1 - Prob. 43PPSCh. 7.1 - Prob. 44HPCh. 7.1 - Prob. 45HPCh. 7.1 - Prob. 46HPCh. 7.1 - Prob. 47HPCh. 7.1 - Prob. 48HPCh. 7.1 - Prob. 49HPCh. 7.1 - Prob. 50STPCh. 7.1 - Prob. 51STPCh. 7.1 - Prob. 52STPCh. 7.1 - Prob. 53STPCh. 7.1 - Prob. 54SPRCh. 7.1 - Prob. 55SPRCh. 7.1 - Prob. 56SPRCh. 7.1 - Prob. 57SPRCh. 7.1 - Prob. 58SPRCh. 7.1 - Prob. 59SPRCh. 7.1 - Prob. 60SPRCh. 7.1 - Prob. 61SPRCh. 7.1 - Prob. 62SPRCh. 7.1 - Prob. 63SPRCh. 7.1 - Prob. 64SPRCh. 7.1 - Prob. 65SRCh. 7.2 - Prob. 1CYPCh. 7.2 - Prob. 2CYPCh. 7.2 - Prob. 3ACYPCh. 7.2 - Prob. 3BCYPCh. 7.2 - Prob. 4CYPCh. 7.2 - Prob. 1CYUCh. 7.2 - Prob. 2CYUCh. 7.2 - Prob. 3CYUCh. 7.2 - Prob. 4CYUCh. 7.2 - Prob. 5CYUCh. 7.2 - Prob. 6CYUCh. 7.2 - Prob. 7CYUCh. 7.2 - Prob. 8PPSCh. 7.2 - Prob. 9PPSCh. 7.2 - Prob. 10PPSCh. 7.2 - Prob. 11PPSCh. 7.2 - Prob. 12PPSCh. 7.2 - Prob. 13PPSCh. 7.2 - Prob. 14PPSCh. 7.2 - Prob. 15PPSCh. 7.2 - Prob. 16PPSCh. 7.2 - Prob. 17PPSCh. 7.2 - Prob. 18PPSCh. 7.2 - Prob. 19PPSCh. 7.2 - Prob. 20PPSCh. 7.2 - Prob. 21PPSCh. 7.2 - Prob. 22PPSCh. 7.2 - Prob. 23PPSCh. 7.2 - Prob. 24PPSCh. 7.2 - Prob. 25PPSCh. 7.2 - Prob. 26PPSCh. 7.2 - Prob. 27PPSCh. 7.2 - Prob. 28PPSCh. 7.2 - Prob. 29PPSCh. 7.2 - Prob. 30PPSCh. 7.2 - Prob. 31PPSCh. 7.2 - 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Prob. 34PPSCh. 7.4 - Prob. 35PPSCh. 7.4 - Prob. 36PPSCh. 7.4 - Prob. 37PPSCh. 7.4 - Prob. 38PPSCh. 7.4 - Prob. 39PPSCh. 7.4 - Prob. 40PPSCh. 7.4 - Prob. 41PPSCh. 7.4 - Prob. 42PPSCh. 7.4 - Prob. 43PPSCh. 7.4 - Prob. 44PPSCh. 7.4 - Prob. 45PPSCh. 7.4 - Prob. 46PPSCh. 7.4 - Prob. 47PPSCh. 7.4 - Prob. 48HPCh. 7.4 - Prob. 49HPCh. 7.4 - Prob. 50HPCh. 7.4 - Prob. 51HPCh. 7.4 - Prob. 52HPCh. 7.4 - Prob. 53STPCh. 7.4 - Prob. 54STPCh. 7.4 - Prob. 55STPCh. 7.4 - Prob. 56STPCh. 7.4 - Prob. 57SPRCh. 7.4 - Prob. 58SPRCh. 7.4 - Prob. 59SPRCh. 7.4 - Prob. 60SPRCh. 7.4 - Prob. 61SPRCh. 7.4 - Prob. 62SPRCh. 7.4 - Prob. 63SPRCh. 7.4 - Prob. 64SPRCh. 7.4 - Prob. 65SPRCh. 7.4 - Prob. 66SPRCh. 7.4 - Prob. 67SRCh. 7.4 - Prob. 68SRCh. 7.4 - Prob. 69SRCh. 7.4 - Prob. 70SRCh. 7.4 - Prob. 71SRCh. 7.5 - Prob. 1ACYPCh. 7.5 - Prob. 1BCYPCh. 7.5 - Prob. 2CYPCh. 7.5 - Prob. 3ACYPCh. 7.5 - Prob. 3BCYPCh. 7.5 - Prob. 1CYUCh. 7.5 - Prob. 2CYUCh. 7.5 - Prob. 3CYUCh. 7.5 - Prob. 4CYUCh. 7.5 - Prob. 5CYUCh. 7.5 - Prob. 6PPSCh. 7.5 - Prob. 7PPSCh. 7.5 - Prob. 8PPSCh. 7.5 - Prob. 9PPSCh. 7.5 - Prob. 10PPSCh. 7.5 - Prob. 11PPSCh. 7.5 - Prob. 12PPSCh. 7.5 - Prob. 13PPSCh. 7.5 - Prob. 14PPSCh. 7.5 - Prob. 15PPSCh. 7.5 - Prob. 16PPSCh. 7.5 - Prob. 17PPSCh. 7.5 - Prob. 18PPSCh. 7.5 - Prob. 19PPSCh. 7.5 - Prob. 20PPSCh. 7.5 - Prob. 21PPSCh. 7.5 - Prob. 22PPSCh. 7.5 - Prob. 23PPSCh. 7.5 - Prob. 24PPSCh. 7.5 - Prob. 25PPSCh. 7.5 - Prob. 26PPSCh. 7.5 - Prob. 27PPSCh. 7.5 - Prob. 28PPSCh. 7.5 - Prob. 29PPSCh. 7.5 - Prob. 30PPSCh. 7.5 - Prob. 31HPCh. 7.5 - Prob. 32HPCh. 7.5 - Prob. 33HPCh. 7.5 - Prob. 34HPCh. 7.5 - Prob. 35HPCh. 7.5 - Prob. 36STPCh. 7.5 - Prob. 37STPCh. 7.5 - Prob. 38STPCh. 7.5 - Prob. 39STPCh. 7.5 - Prob. 40SPRCh. 7.5 - Prob. 41SPRCh. 7.5 - Prob. 42SPRCh. 7.5 - Prob. 43SPRCh. 7.5 - Prob. 44SPRCh. 7.5 - Prob. 45SPRCh. 7.5 - Prob. 46SRCh. 7.5 - Prob. 47SRCh. 7.5 - Prob. 48SRCh. 7.5 - Prob. 49SRCh. 7.5 - Prob. 50SRCh. 7.5 - Prob. 51SRCh. 7.6 - Prob. 1ACYPCh. 7.6 - Prob. 1BCYPCh. 7.6 - Prob. 2CYPCh. 7.6 - Prob. 3ACYPCh. 7.6 - Prob. 3BCYPCh. 7.6 - Prob. 1CYUCh. 7.6 - Prob. 2CYUCh. 7.6 - Prob. 3CYUCh. 7.6 - Prob. 4CYUCh. 7.6 - Prob. 5CYUCh. 7.6 - Prob. 6PPSCh. 7.6 - Prob. 7PPSCh. 7.6 - Prob. 8PPSCh. 7.6 - Prob. 9PPSCh. 7.6 - Prob. 10PPSCh. 7.6 - Prob. 11PPSCh. 7.6 - Prob. 12PPSCh. 7.6 - Prob. 13PPSCh. 7.6 - Prob. 14PPSCh. 7.6 - Prob. 15PPSCh. 7.6 - Prob. 16PPSCh. 7.6 - Prob. 17PPSCh. 7.6 - Prob. 18PPSCh. 7.6 - Prob. 19PPSCh. 7.6 - Prob. 20PPSCh. 7.6 - Prob. 21PPSCh. 7.6 - Prob. 22HPCh. 7.6 - Prob. 23HPCh. 7.6 - Prob. 24HPCh. 7.6 - Prob. 25HPCh. 7.6 - Prob. 26HPCh. 7.6 - Prob. 27HPCh. 7.6 - Prob. 28STPCh. 7.6 - Prob. 29STPCh. 7.6 - Prob. 30STPCh. 7.6 - Prob. 31STPCh. 7.6 - Prob. 32SPRCh. 7.6 - Prob. 33SPRCh. 7.6 - Prob. 34SPRCh. 7.6 - Prob. 35SPRCh. 7.6 - Prob. 36SPRCh. 7.6 - Prob. 37SPRCh. 7.6 - Prob. 38SPRCh. 7.6 - Prob. 39SPRCh. 7.6 - Prob. 40SRCh. 7.6 - Prob. 41SRCh. 7.6 - Prob. 42SRCh. 7.6 - Prob. 43SRCh. 7.6 - Prob. 44SRCh. 7.6 - Prob. 45SRCh. 7.7 - Prob. 1CYPCh. 7.7 - Prob. 2CYPCh. 7.7 - Prob. 3CYPCh. 7.7 - Prob. 1CYUCh. 7.7 - Prob. 2CYUCh. 7.7 - Prob. 3CYUCh. 7.7 - Prob. 4CYUCh. 7.7 - Prob. 5PPSCh. 7.7 - Prob. 6PPSCh. 7.7 - Prob. 7PPSCh. 7.7 - Prob. 8PPSCh. 7.7 - Prob. 9PPSCh. 7.7 - Prob. 10PPSCh. 7.7 - Prob. 11PPSCh. 7.7 - Prob. 12PPSCh. 7.7 - Prob. 13PPSCh. 7.7 - Prob. 14PPSCh. 7.7 - Prob. 15PPSCh. 7.7 - Prob. 16PPSCh. 7.7 - Prob. 17PPSCh. 7.7 - Prob. 18PPSCh. 7.7 - Prob. 19PPSCh. 7.7 - Prob. 20PPSCh. 7.7 - Prob. 21HPCh. 7.7 - Prob. 22HPCh. 7.7 - Prob. 23HPCh. 7.7 - Prob. 24HPCh. 7.7 - Prob. 25HPCh. 7.7 - Prob. 26STPCh. 7.7 - Prob. 27STPCh. 7.7 - Prob. 28STPCh. 7.7 - Prob. 29STPCh. 7.7 - Prob. 30SPRCh. 7.7 - Prob. 31SPRCh. 7.7 - Prob. 32SPRCh. 7.7 - Prob. 33SPRCh. 7.7 - Prob. 34SPRCh. 7.7 - Prob. 35SPRCh. 7.7 - Prob. 36SPRCh. 7.7 - Prob. 37SPRCh. 7.7 - Prob. 38SPRCh. 7.7 - Prob. 39SPRCh. 7.7 - Prob. 40SPRCh. 7.7 - Prob. 41SPRCh. 7.7 - Prob. 42SPRCh. 7.7 - Prob. 43SPRCh. 7.7 - Prob. 44SPRCh. 7.7 - Prob. 45SRCh. 7.7 - Prob. 46SRCh. 7.7 - Prob. 47SRCh. 7.7 - Prob. 48SRCh. 7.7 - Prob. 49SRCh. 7 - Prob. 1GRFCCh. 7 - Prob. 2GRFCCh. 7 - Prob. 3GRFCCh. 7 - Prob. 4GRFCCh. 7 - Prob. 5GRFCCh. 7 - Prob. 6GRFCCh. 7 - Prob. 7GRFCCh. 7 - Prob. 8GRFCCh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 11SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - 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