Question

w 4x + 12 x x y
52
find xy. figure is not drawn to scale.

Explanation:

Step1: Set up the equation

From the figure, we know that \( WY = WX + XY \). Given \( WX = 4x + 12 \), \( XY = x \), and \( WY = 52 \), so we can set up the equation \( 4x + 12 + x = 52 \).

Step2: Combine like terms

Combine the \( x \) terms: \( 5x + 12 = 52 \).

Step3: Solve for x

Subtract 12 from both sides: \( 5x = 52 - 12 = 40 \). Then divide both sides by 5: \( x = \frac{40}{5} = 8 \).

Step4: Find XY

Since \( XY = x \), and we found \( x = 8 \), so \( XY = 8 \).

Answer:

\( 8 \)