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thank you so much!

 Dec 19, 2018
 #1
avatar+101827 
+1

First one :

 

Since we have a segment parallel to a base of a triangle,the sides are in equal proportion...so....

 

121/ 11 =  (5x + 10)  / 10

 

11 =  (5x + 10) / 10      multiply both sides by 10

 

110  = 5x + 10      subtract 10 from both sides

 

100 = 5x    divide both sides by 5

 

20  =  x

 

 

cool cool cool

 Dec 19, 2018
 #2
avatar+101827 
+1

Second one

 

MA =  46.2 - 14  =   32.2

 

BP =  72.6 - x

 

So, again, we have this relationship

 

MA /  NA  = MB / BP

 

32.2/ 14  = x /  [ 72.6 - x ]      cross-multiply

 

32.2 [ 72.6 - x ]   = 14x     simplify

 

2337.72 - 32.2x  =  14x        add 32.2x to both sides

 

2337.72 =  46.2x      divide both sides by 46.2

 

50.6   =  x

 

 

cool cool cool

 Dec 19, 2018

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