Question

The triangles in the image are similar.

Solve for x.
A) 7
B) 6
C) 10
D) 5

Answer 1

A) 7

Step-by-step explanation

The given triangles are similar

Hence the corresponding sides are in the same proportion.

`(3x + 4)/(30) = (30)/(36)`

Simplify the right hand side:

`(3x + 4)/(30) = (5)/(6)`

Cross multiply;

6(3x+4)=5×30

Expand

18x+24=180

18x=150-24

18x=126

`x = (126)/(18) = 7`