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If BD= 7x-1, BC= 4x-2.9, and CD= 5x-0.9, find each value?

User Shawn Spencer
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1 Answer

17 votes
17 votes

Answer:

  • x = 1.4
  • BD = 8.8
  • BC = 2.7
  • CD = 6.1

Explanation:

Assuming an additive relation, we have ...

BC +CD = BD

Solution

Substituting the given relations, we can find x:

(4x -2.9) +(5x -0.9) = 7x -1

2x = 2.8 . . . . . . . . . add 3.8-7x to both sides

x = 1.4

Then the segment values are ...

BD = 7(1.4) -1 = 8.8

BC = 4(1.4) -2.9 = 2.7

CD = 5(1.4) -0.9 = 6.1

User Napkinsterror
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