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Zinaida [17]
4 years ago
12

How do you solve this

Mathematics
1 answer:
solniwko [45]4 years ago
8 0

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

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