which value of y would make op || ln? 16 24 32 36

which value of y would make op || ln? 16 24 32 36

which value of y would make op || ln? 16 24 32 36

Answer

Explanation:

Step1: Apply the basic - proportionality theorem

If $OP\parallel LN$, then $\frac{MO}{OL}=\frac{MP}{PN}$. Here, $MO = 28$, $OL = 14$, $PN=18$, and $MP = y$. So, $\frac{28}{14}=\frac{y}{18}$.

Step2: Solve the proportion for $y$

Cross - multiply the proportion $\frac{28}{14}=\frac{y}{18}$. We get $28\times18 = 14\times y$. Then $y=\frac{28\times18}{14}$. $y = 36$.

Answer:

36