Question

What is the value of x?

Answer 1

Answer:

x = 5

Step-by-step explanation:

Set up as proportion and cross multiply to solve:

32/4 = 40/x

x = 5

Answer 2

Answer:

x = 5

Step-by-step explanation:

The triangles are similar ( AA postulate ) then the ratios of corresponding sides are in proportion , that is

$\frac{x}{40}$ = $\frac{4}{32}$ = $\frac{1}{8}$ ( cross- multiply )

8x = 40 ( divide both sides by 8 )

x = 5