Question

quadrilateral jklm is similar to quadrilateral nopq. find the measure of side no. round your answer to the nearest tenth if necessary. m 13 l q 55 p k 16 j o n

Explanation:

Step1: Identify corresponding sides

Since quadrilaterals \(JKLM\) and \(NOPQ\) are similar, their corresponding sides are proportional. Let's assume \(ML\) corresponds to \(PQ\) and \(JK\) corresponds to \(NO\). So \(ML = 13\), \(PQ = 55\), \(JK = 16\), and we need to find \(NO\).

Step2: Set up the proportion

The proportion for similar figures is \(\frac{ML}{PQ}=\frac{JK}{NO}\). Substituting the known values, we get \(\frac{13}{55}=\frac{16}{NO}\).

Step3: Solve for \(NO\)

Cross - multiply: \(13\times NO=55\times16\). Then \(NO = \frac{55\times16}{13}\). Calculate \(55\times16 = 880\), so \(NO=\frac{880}{13}\approx67.7\).

Answer:

\(67.7\)