Question

current skill $
w •———x •———y (wx labeled 5x + 5, xy labeled 1)
a horizontal segment with 9x - 6
find wx. figure is not drawn to scale.

Explanation:

Step1: Set up the equation

From the figure, we know that \( WY = WX + XY \), and \( WY = 9x - 6 \), \( WX = 5x + 5 \), \( XY = 1 \). So we can set up the equation: \( 5x + 5 + 1 = 9x - 6 \)

Step2: Solve for x

Simplify the left side: \( 5x + 6 = 9x - 6 \)
Subtract \( 5x \) from both sides: \( 6 = 4x - 6 \)
Add 6 to both sides: \( 12 = 4x \)
Divide both sides by 4: \( x = 3 \)

Step3: Find WX

Substitute \( x = 3 \) into \( WX = 5x + 5 \): \( WX = 5\times3 + 5 = 15 + 5 = 20 \)

Answer:

20