Question

x is the midpoint of $overline{wy}$. w 10x - 10 x 4x + 2 y find wx, xy, and wy. wx = xy =

Explanation:

Step1: Set up equation

Since X is the mid - point of WY, WX = XY. So, 10x - 10=4x + 2.

Step2: Solve for x

Subtract 4x from both sides: 10x-4x - 10=4x-4x + 2, which gives 6x - 10=2. Then add 10 to both sides: 6x-10 + 10=2 + 10, so 6x=12. Divide both sides by 6: x = 2.

Step3: Find WX

Substitute x = 2 into the expression for WX: WX=10x - 10=10×2 - 10=10.

Step4: Find XY

Since XY = WX, XY = 10.

Step5: Find WY

WY=WX + XY, so WY=10 + 10=20.

Answer:

WX = 10
XY = 10
WY = 20