Question

these two triangles are similar. what is the measure of x? 20 8 x 6 x = ?

Explanation:

Step1: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. So we have $\frac{20}{x}=\frac{8}{6}$.

Step2: Cross - multiply

Cross - multiplying gives us $8x = 20\times6$.

Step3: Simplify right - hand side

$20\times6=120$, so $8x = 120$.

Step4: Solve for x

Dividing both sides by 8, we get $x=\frac{120}{8}=15$.

Answer:

$15$