Question

the figures below are similar. use proportions to find the length of m. 10 6 m 9 m = ?

Explanation:

Step1: Set up proportion

Since the figures are similar, the ratios of corresponding sides are equal. So we have $\frac{10}{m}=\frac{6}{9}$.

Step2: Cross - multiply

Cross - multiplying gives us $6m = 10\times9$.

Step3: Simplify right - hand side

$10\times9=90$, so $6m = 90$.

Step4: Solve for m

Dividing both sides by 6, we get $m=\frac{90}{6}=15$.

Answer:

15