Question

solve for x.
u •———10———• v ——x——• w
←——2x+3——→

Explanation:

Step1: Analyze the segment addition

From the diagram, \( UV + VW = UW \). So \( 10 + x = 2x + 3 \).

Step2: Solve for \( x \)

Subtract \( x \) from both sides: \( 10 = x + 3 \).
Subtract 3 from both sides: \( x = 10 - 3 = 7 \).

Answer:

\( x = 7 \)