Question

quadrilateral j k l m is similar to quadrilateral n o p q. find the measure of side n o. round your answer to the nearest tenth if necessary. figures are not drawn to scale.
answer attempt 1 out of 2

Explanation:

Step1: Use the property of similar polygons

Since quadrilateral \(JKLM\) is similar to quadrilateral \(NOPQ\), the ratios of their corresponding sides are equal. That is \(\frac{JK}{NO}=\frac{JM}{NQ}\).

Step2: Substitute the known values

We know \(JK = 20\), \(JM=13\), and \(NQ = 50\). Let \(NO=x\). Then the proportion becomes \(\frac{20}{x}=\frac{13}{50}\).

Step3: Cross - multiply

Cross - multiplying gives us \(13x=20\times50\). So \(13x = 1000\).

Step4: Solve for \(x\)

Divide both sides by \(13\): \(x=\frac{1000}{13}\approx76.9\).

Answer:

$76.9$