Answer:
A. x = 2 and BQ = 27
Step-by-step explanation:
The key to this problem is the fact that the centroid divides the median into segments in the ratio 2 : 1.
BM : MQ = 2 : 1
BM = 2·MQ
9x = 2(5x -1) . . . . . substitute the given expressions
9x = 10x -2 . . . . . . eliminate parentheses
0 = x -2 . . . . . . . . . subtract 9x
2 = x . . . . . . . . . . . .add 2
BQ = BM + MQ = 9(2) +5(2) -1
BQ = 27
