Question

quadrilateral ghij is similar to quadrilateral klmn. find the measure of side nk. round your answer to the nearest tenth if necessary. figures are not drawn to scale.

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. Let \(NK = x\). The proportion is \(\frac{NK}{GJ}=\frac{KL}{GH}\), which is \(\frac{x}{11}=\frac{27}{7}\).

Step2: Solve for \(x\)

Cross - multiply: \(7x = 11\times27\), so \(7x=297\). Then \(x=\frac{297}{7}\approx42.4\).

Answer:

\(42.4\)