Question

which value of y would make op || ln?
28
m
y
o
p
14
l
18
n
16
24
32
36

Explanation:

Step1: Apply Basic Proportionality Theorem

If \( OP \parallel LN \), by the Basic Proportionality Theorem (Thales' theorem), we have \(\frac{MO}{OL}=\frac{MP}{PN}\).
Given \( MO = 28 \), \( OL = 14 \), \( PN = 18 \), let \( MP = y \). So \(\frac{28}{14}=\frac{y}{18}\).

Step2: Solve for y

Simplify \(\frac{28}{14}=2\), so the equation becomes \( 2=\frac{y}{18} \).
Multiply both sides by 18: \( y = 2\times18 = 36 \).

Answer:

36