Question

these polygons are similar. solve for x. 30 40 475 275 12 16 x

Explanation:

Step1: Set up proportion

Since the polygons are similar, the ratios of corresponding sides are equal. We can set up the proportion $\frac{12}{30}=\frac{x}{75}$.

Step2: Cross - multiply

Cross - multiplying gives us $30x = 12\times75$.

Step3: Calculate the right - hand side

$12\times75 = 900$, so $30x=900$.

Step4: Solve for x

Dividing both sides by 30, we get $x=\frac{900}{30}=30$.

Answer:

30