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​What is the value of x? Show your work and name any similarity postulates or theorems that you use

 

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Guest Jan 8, 2018
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These triangles are similar by the  AA congruency postulate

 

So

 

AC  / AB  =  PR  / PQ

 

 [  3x + 6  ]  /  24    =  28  / 32

 

[ 3x + 6 ] / 24  =    7 / 8      cross-multiply

 

8 [ 3x + 6 ]  =  24 * 7

 

24x +  48   =   168      subtract 48 from both sides

 

24x  =  120         divide both sides by  24

 

x  =  5

 

 

cool cool cool

 
CPhill  Jan 8, 2018

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