Answer:
BC = 52
Explanation:
The point of the question is to have you recognize and use the fact that the tangent segments from the same point are of equal length. That lets you write the equation ...
4x +8 = 2(3x -7) . . . BC = BA
2x +4 = 3x -7 . . . . . divide by 2
11 = x . . . . . . . . . . . . add 7-2x
The length of segment BC is computed using this value of x:
BC = 4x +8 = 4·11 +8
BC = 52