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If BD = 7x – 10, BC = 4x – 29, and CD = 5x – 9, find BD.

1 Answer

7 votes

Answer:

BD = 88

Explanation:

If BD = 7x – 10, BC = 4x – 29, and CD = 5x – 9, find BD.

BC + CD = BD

4x – 29 + 5x – 9 = 7x – 10

combine similar terms:

4x + 5x - 7x = 29 + 9 - 10

2x = 28

x = 28/2

x = 14

find BD: plugin x-14 into 7x – 10

BD = 7x – 10

BD = 7(14) - 10

BD = 98 - 10

BD = 88

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