Question

find wx. figure is not drawn to scale. w---x---x---y, wx = x, xy = 8, wy = 2x - 29

Explanation:

Step1: Set up the equation

From the line segment, we know that \( WY = WX + XY \). Given \( WX = x \), \( XY = 8 \), and \( WY = 2x - 29 \). So the equation is \( x + 8 = 2x - 29 \).

Step2: Solve for x

Subtract \( x \) from both sides: \( 8 = x - 29 \). Then add 29 to both sides: \( x = 8 + 29 = 37 \)? Wait, no, wait. Wait, let's check again. Wait, \( x + 8 = 2x - 29 \). Subtract \( x \) from both sides: \( 8 = x - 29 \). Then add 29 to both sides: \( x = 8 + 29 = 37 \)? But then \( WX = x = 37 \), and \( WY = 2*37 - 29 = 74 - 29 = 45 \), and \( XY = 8 \), so \( 37 + 8 = 45 \), which works. Wait, but maybe I misread the segment. Wait, the segment is \( W---X---Y \), with \( WX = x \), \( XY = 8 \), and \( WY = 2x - 29 \). So \( WX + XY = WY \), so \( x + 8 = 2x - 29 \). Solving: \( 2x - x = 8 + 29 \), so \( x = 37 \). Then \( WX = x = 37 \). Wait, but let's check again. Wait, maybe the equation is \( 2x - 29 = x + 8 \), which is the same as \( x = 37 \). So \( WX = 37 \).

Answer:

37