Question

polygon l is a scaled copy of polygon k. what is the value of j?

Explanation:

Step1: Find the scale factor

Since polygon \(L\) is a scaled - copy of polygon \(K\), the scale factor \(s\) can be found by comparing corresponding sides. Let's use the sides of length \(0.3\) (in polygon \(K\)) and \(0.18\) (in polygon \(L\)). The scale factor \(s=\frac{\text{side in }L}{\text{side in }K}\), so \(s = \frac{0.18}{0.3}\).

$$s=\frac{0.18}{0.3}=0.6$$

Step2: Calculate the value of \(j\)

The side of length \(0.5\) in polygon \(K\) corresponds to the side of length \(j\) in polygon \(L\). Using the formula \(j=\text{side in }K\times s\), substitute \(s = 0.6\) and the side in \(K = 0.5\).

$$j=0.5\times0.6$$

$$j = 0.3$$

Answer:

\(0.3\)