Question

quadrilateral hijk is similar to quadrilateral lmno. find the measure of side ol. 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 \(OL = x\). The proportion is \(\frac{OL}{HI}=\frac{ON}{KJ}\). Substituting the known values: \(\frac{x}{7}=\frac{39}{10}\).

Step2: Solve for \(x\)

Cross - multiply: \(10x=7\times39\). Then \(10x = 273\). Divide both sides by \(10\): \(x=\frac{273}{10}=27.3\).

Answer:

\(27.3\)