Question

if these two shapes are similar, what is the measure of the missing length m? 5 mm 10 mm 1 mm m m = millimeters

Explanation:

Step1: Set up proportion

For similar - shaped figures, the ratios of corresponding sides are equal. Let the ratio of the side of length 5 mm to the side of length 1 mm be equal to the ratio of the side of length 10 mm to the side of length $m$. So, $\frac{5}{1}=\frac{10}{m}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{5}{1}=\frac{10}{m}$ gives us $5\times m = 1\times10$.

Step3: Solve for $m$

Dividing both sides of the equation $5m = 10$ by 5, we get $m=\frac{10}{5}=2$.

Answer:

2