Question

pentagon i is a scaled copy of pentagon h. what is the value of j?

Explanation:

Step1: Find the scale - factor

Since the two pentagons are scaled copies, we can find the scale - factor by comparing corresponding sides. Let's use the top - most sides. The length of the top - most side of pentagon H is 16 and of pentagon I is 12. The scale - factor $k=\frac{12}{16}=\frac{3}{4}$.

Step2: Calculate the value of j

We know that the side of length 20 in pentagon H corresponds to side j in pentagon I. Using the scale - factor, we have $j = 20\times k$. Substituting $k=\frac{3}{4}$, we get $j=20\times\frac{3}{4}=15$.

Answer:

15