Question

PLEASE HELP ILL GIVE U BRAINLIEST (IGNORE WHERE IT SAYS 8 AND 2 POINTS BECAUSE THATS HOW MUCH ITS WORTH IN THE GRADEBOOK)

Answer 1

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