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Answer :

Answer:

  x = 10

Step-by-step explanation:

The angle bisector divides the sides of the triangle proportionally. To write the proportion we want, we need to know the length of the right side of the base segment. That is ...

  right side = 33 -9 = 24

Then the proportion can be written ...

  (3x+2)/24 = 12/9

  3x +2 = 24(12/9) = 32 . . . multiply by 24

  3x = 30 . . . . . . . . . . . . . . subtract 2

  x = 10 . . . . . . . . . . divide by 3