Question

x is the midpoint of $overline{wy}$. w ●———————$5y - 7$——————●x———————$6y - 22$——————●y find wx, xy, and wy. wx = xy =

Explanation:

Step1: Set up equation

Since X is the mid - point of WY, WX = XY. So, 5y - 7=6y - 22.

Step2: Solve for y

Subtract 5y from both sides: - 7=y - 22. Then add 22 to both sides, we get y = 15.

Step3: Find WX

Substitute y = 15 into the expression for WX: WX=5y - 7=5×15 - 7 = 75 - 7=78.

Step4: Find XY

Since XY = WX, XY = 78.

Step5: Find WY

WY=WX + XY, so WY=78 + 78 = 156.

Answer:

WX = 78, XY = 78, WY = 156