Question

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

Explanation:

Step1: Apply similar - triangle property

If $OP\parallel LN$, then $\triangle MOP\sim\triangle MLN$. So, $\frac{MO}{ML}=\frac{MP}{MN}$. Here, $MO = 28$, $ML=28 + 14=42$, $MP = y$, $MN=y + 18$. Then $\frac{28}{42}=\frac{y}{y + 18}$.

Step2: Cross - multiply

$28(y + 18)=42y$. Expand to get $28y+504 = 42y$.

Step3: Solve for y

Subtract $28y$ from both sides: $504=42y - 28y$, $14y = 504$, $y = 36$.

Answer:

36