Question

1. point m is the midpoint of segment ln. if lm=4x and mn=2x+10, what is the value of x? a) x=2 b) x=3 b) x=4 d) x=5 ∘ a) x=2 ∘ b) x=3 ∘ b) x=4 ∘ d) x=5

Explanation:

Step1: Use midpoint property

Since M is the midpoint of LN, \( LM = MN \). So we set \( 4x = 2x + 10 \).

Step2: Solve for x

Subtract \( 2x \) from both sides: \( 4x - 2x = 2x + 10 - 2x \), which simplifies to \( 2x = 10 \). Then divide both sides by 2: \( x=\frac{10}{2}=5 \).

Answer:

D) \( x = 5 \)