Answer:
x = 1, XZ = 48
Step-by-step explanation:
So you already have the diagram with the number labeled,
4(x + 5) and 2(x + 11)
We know that Y is the midpoint between X and Z so we know that XY = YZ:
4(x + 5) = 2(x + 11)
Let's solve the equation for x:
4x + 20 = 2x + 22 (Distributive Property)
Subtract 20 from both sides:
4x = 2x + 2
Subtract 2x from both sides:
2x = 2
Divide both sides by 2:
x = 1
So now we know that x = 1, we want to find XZ:
XZ = 4(x + 5) + 2(x + 11)
We can plug in x (1):
XZ = 4(1 + 5) + 2(1 + 11)
Simplify:
XZ = 4(6) + 2(12)
XZ = 24 + 24
XZ = 48
