Question

quadrilateral j k l m is similar to quadrilateral n o p q. find the measure of side q n. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. Let \( QN = x \). The proportion is \( \frac{QN}{JM}=\frac{NO}{JK} \), which is \( \frac{x}{23}=\frac{53}{17.6} \).

Step2: Solve for \( x \)

Cross - multiply: \( 17.6x=23\times53 \).
First, calculate \( 23\times53 = 1219 \).
Then, \( x=\frac{1219}{17.6}\).
\( x\approx69.3 \).

Answer:

\( 69.3 \)