+0  
 
-1
166
5
avatar+2291 

Find x.

Is the 3rd one 6?

RainbowPanda  Feb 27, 2018
edited by RainbowPanda  Feb 27, 2018
 #1
avatar+92367 
+2

If GF is parallel to AB....we have a theorem that says that a segment in a triangle drawn parallel to a base divides the sides proportionally

 

Specifically :

 

48 / 84  =  52 / [ 7x + 7]

 

4/7  =  52/ [7x + 7]     cross-multiply

 

52 * 7  =  4 [ 7x + 7 ]    simplify

 

364  =  4[ 7x + 7]       divide both sides by 4

 

91  =  7x + 7     subtract 7 from both sides

 

84  =  7x      divide both sides by 7

 

12  = x

 

 

cool cool cool

CPhill  Feb 27, 2018
 #2
avatar+92367 
+1

Your third one is correct....!!!

 

Second one

 

MLN  = BAC   ....so....

 

ML/LN  = BA/AC

 

35 / 45  =  [ -13 + 2x ] / 9

 

7/9  = [ -13 + 2x] / 9     multiply both sides by 9

 

7  =  -13 + 2x       add 13 to both sides

 

20  = 2x    divide both sides by 20

 

10  = x

 

 

cool cool cool

CPhill  Feb 27, 2018
 #3
avatar+2291 
0

Tysm for your help cheeky

RainbowPanda  Feb 27, 2018

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