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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 length of \overline{BD}. BD

User Tkachuko
by
7.0k points

1 Answer

4 votes

Answer:


BD = 19

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

User Medic
by
6.4k points
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