Question

find u. write your answer as a whole number or a decimal. do not round. u = yards

Explanation:

Step1: Identify similar triangles

Since the angles are equal, $\triangle LMP\sim\triangle ONP$.

Step2: Set up proportion

The ratios of corresponding - sides of similar triangles are equal. So, $\frac{LM}{ON}=\frac{MP}{NP}$. We know that $LM = 42$ yd, $MP = 80$ yd, and $NP = 56$ yd. Let $ON = u$. Then $\frac{42}{u}=\frac{80}{56}$.

Step3: Cross - multiply

Cross - multiplying gives us $80u=42\times56$.

Step4: Solve for u

First, calculate $42\times56 = 2352$. Then $u=\frac{2352}{80}=29.4$.

Answer:

$29.4$ yards