Question

value: 3
solve for x.

a. 55
b. 65
c. 18
d. 12

Explanation:

Step1: Use similarity of triangles

Since the two triangles are similar, we have the proportion $\frac{x}{8 + x}=\frac{16}{16 + 20}$.

Step2: Cross - multiply

$16(8 + x)=x(16 + 20)$.
$128+16x = 36x$.

Step3: Solve for x

$36x-16x=128$.
$20x = 128$.
$x = 6.4$ (There seems to be an error in the options provided as the correct value is 6.4)

Answer:

No correct option from a - d provided.