Respuesta :

Answer:

  x = 11

Step-by-step explanation:

If we assume that points A, B, and C are on the same line with B between A and C, then we have ...

  AB +BC = AC

  (4x +34) +(6x +6) = 150 . . . . use the given expressions

  10x +40 = 150 . . . . . . . . . . . . collect terms

  10x = 110 . . . . . . . . . . . . . . . .  subtract 40; next, divide by 10

  x = 11