Question

is the midpoint. 8) 2x+20 4x l m n

Explanation:

Since \( M \) is the midpoint of \( LN \), the length from \( L \) to \( M \) (\( 2x + 20 \)) should be equal to the length from \( M \) to \( N \) (\( 4x \)).

Step 1: Set up the equation

\( 2x + 20 = 4x \)

Step 2: Solve for \( x \)

Subtract \( 2x \) from both sides:
\( 20 = 4x - 2x \)
\( 20 = 2x \)

Divide both sides by 2:
\( x = \frac{20}{2} = 10 \)

Answer:

\( x = 10 \)