Question

quadrilateral drfg is similar to quadrilateral hijk. find the measure of side jk. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Identify corresponding sides

Since quadrilateral DEFG is similar to quadrilateral HIJK, the corresponding sides are proportional. Let's assume DE corresponds to HI, and FG corresponds to JK. Given DE = 25, HI = 16.9, and FG = 9.8.

Step2: Set up proportion

Let \( JK = x \). The proportion is \( \frac{DE}{HI}=\frac{FG}{JK} \), so \( \frac{25}{16.9}=\frac{9.8}{x} \).

Step3: Solve for x

Cross - multiply: \( 25x = 16.9\times9.8 \). Calculate \( 16.9\times9.8 = 165.62 \). Then \( x=\frac{165.62}{25}=6.6248\approx6.6 \)

Answer:

\( 6.6 \)