as653767
as653767 as653767
  • 22-08-2019
  • Mathematics
contestada

Point K is between points A and B. AK = 27, KB= 3x + 5, and AB = 7x. what is KB

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harpazo
harpazo harpazo
  • 22-08-2019

AB = AK + KB

Let AB = 7x

Let KB = 3x + 5

Let AK = 27

7x = 27 + 3x + 5

Solve for x.

7x - 3x = 32

4x = 32

x = 32/4

x = 8

Wait it minute. The value of x is 8 but that is not the answer. We want KB.

KB is given to be 3x + 5.

Replace x with 8 and simplify.

KB = 3x + 5

KB = 3(8) + 5

KB = 24 + 5

KB = 29

Did you follow the logic?

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