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130
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avatar+464 

In the figure shown, segment AB is parallel to segment YZ. If AZ = 42 units, BQ = 12 units, and QY = 24 units, what is the length of segment QZ?

 

 Oct 7, 2018
edited by shreyas1  Oct 7, 2018
 #1
avatar+96302 
+1

triangle AQB is similar to triangle ZQY

 

Since  QY  = 24  and BQ  = 12

 

And   QY + BQ   = 36  = BY

 

Then   QY  = (2/3)  BY

 

So... QZ  = (2/3)  AZ   = (2/3) 42  = 28

 

 

cool cool cool

 Oct 7, 2018
 #2
avatar+464 
0

Thank you CPhill

 Oct 8, 2018

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