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

Question

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

Explanation:

Step1: Apply Triangle Proportionality Theorem

If $OP \parallel LN$, then $\frac{MO}{OL} = \frac{MP}{PN}$

Step2: Substitute given values

Substitute $MO=28$, $OL=14$, $MP=y$, $PN=18$:
$\frac{28}{14} = \frac{y}{18}$

Step3: Simplify and solve for y

Simplify $\frac{28}{14}=2$, so $2 = \frac{y}{18}$
Multiply both sides by 18: $y = 2 \times 18$

Answer:

36