Question

Question 4 Find the value of a and YZ if Y is between X and Z.

XY = 3a - 4, YZ = 6a + 2, XZ = Sa + 22

a=?
YZ=?​

Answer 1

Answer:

• a = 6
• YZ = 38

Step-by-step explanation:

The segment addition theorem tells you ...

  XY +YZ = XZ

  (3a -4) +(6a +2) = (5a +22)

  4a = 24 . . . . . . . . add 2-5a and simplify

  a = 6 . . . . . . . . . . divide by 4

Then the length of YZ is ...

  YZ = 6a+2 = 6(6) +2

  YZ = 38