Question

these two shapes are similar. find x. 2 mm 6 mm 15 mm x x = millimeters

Explanation:

Step1: Set up proportion

Since the two shapes are similar, the ratios of corresponding sides are equal. So we have $\frac{x}{2}=\frac{15}{6}$.

Step2: Cross - multiply

Cross - multiplying gives $6x = 2\times15$.

Step3: Simplify right - hand side

$2\times15 = 30$, so $6x=30$.

Step4: Solve for x

Dividing both sides by 6, we get $x=\frac{30}{6}=5$.

Answer:

5