these two polygons are similar. y = ?

Explanation:

Step1: Set up proportion

Since the two polygons are similar, the ratios of corresponding - side lengths are equal. We can set up the proportion $\frac{y}{15}=\frac{2}{6}$.

Step2: Cross - multiply

Cross - multiplying gives us $6y = 15\times2$.

Step3: Simplify right - hand side

$15\times2 = 30$, so $6y=30$.

Step4: Solve for y

Dividing both sides of the equation $6y = 30$ by 6, we get $y=\frac{30}{6}=5$.

Answer:

5