Respuesta :

sqdancefan

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