Question

1. f •———11———• e • d (2x - 9 above e to d) and ←——3x - 3——→ below f to d

Explanation:

Step1: Analyze the segment addition

From the diagram, \( FD = FE + ED \). So \( 3x - 3=11+(2x - 9) \).

Step2: Simplify the equation

Simplify the right - hand side: \( 11+(2x - 9)=2x + 2 \). So the equation becomes \( 3x-3 = 2x + 2 \).

Step3: Solve for x

Subtract \( 2x \) from both sides: \( 3x-2x-3=2x - 2x+2 \), which gives \( x - 3=2 \). Then add 3 to both sides: \( x-3 + 3=2 + 3 \), so \( x = 5 \).

Answer:

\( x = 5 \)