Question

set up a proportion to solve for x in the following similar triangles.

Explanation:

Step1: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. So we have $\frac{18}{12}=\frac{24}{x - 2}$.

Step2: Cross - multiply

$18\times(x - 2)=12\times24$.

Step3: Expand left side

$18x-36 = 288$.

Step4: Add 36 to both sides

$18x=288 + 36$, so $18x=324$.

Step5: Solve for x

$x=\frac{324}{18}=18$.

Answer:

$x = 18$