which value of y would make op || ln?\n16\n24\n32\n36

Explanation:

Step1: Apply the basic - proportionality theorem

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

Step2: Solve the proportion for $y$

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

Step3: Calculate the value of $y$

$y=\frac{28\times18}{14}=\frac{28}{14}\times18 = 2\times18=36$.

Answer:

D. 36