Question

What is the value of x?

Answer 1

Answer:

x = 7

Step-by-step explanation:

The larger outside triangle and the smaller triangle on top are similar, hence the ratios of corresponding sides are equal, that is

$\frac{5}{5+40}$ = $\frac{3}{2x+10+3}$

$\frac{5}{45}$ = $\frac{3}{2x+13}$ ( cross- multiply )

5(2x + 13) = 135

10x + 65 = 135 ( subtract 65 from both sides )

10x = 70 ( divide both sides by 10 )

x = 7