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Aleonysh [2.5K]
3 years ago
15

Point C is on line segment \overline{BD} BD . Given CD=2x,CD=2x, BD=3x+4,BD=3x+4, and BC=2x-1,BC=2x−1, determine the numerical l

ength of \overline{BD}. BD
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0

Answer:

BD = 19

Step-by-step explanation:

Given

CD = 2x

BD = 3x + 4

BC = 2x -1

Required

Find BD

Since C is on BD, we have:

BD = BC + CD

Substitute values for BD, BC and Cd

3x + 4 = 2x - 1 + 2x

Collect Like Terms

3x - 2x - 2x = -1 - 4

-x = -5

Multiply through by -1

x = 5

Substitute 5 for x in BD = 3x + 4

BD = 3 * 5 + 4

BD = 19

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