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kakasveta [241]
3 years ago
9

In -ABC, D is the midpoint of BC . If BD= 4x + 12 and CD = 2x + 32, what is the length of BC?

Mathematics
1 answer:
svetlana [45]3 years ago
8 0

9514 1404 393

Answer:

  104

Step-by-step explanation:

The midpoint divides the segment into equal parts:

  BD = CD

  4x +12 = 2x +32

  2x = 20 . . . . . . . . . subtract 2x+12

  x = 10 . . . . . . . . divide by 2

The length of BC is the sum of the segment lengths:

  BC = BD +CD

  BC = (4x +12) +(2x +32) = 6x +44

For x=10, this is ...

  BC = 6(10) +44 = 104

The length of BC is 104 units.

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