Answer:a = 6YZ = 38Step-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 4Then the length of YZ is ... YZ = 6a+2 = 6(6) +2 YZ = 38