Question

Ostulate

Point D is on segment BC. Segment BC measures 8x units in length.

A line has points C, D, B. The length of line C D is 3 x + 8. The length of line D B is 4 x + 10.
What is the length of segment BC?

Answer 1

144

Explanation:

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Answer 2

144

Explanation:

If point D is on BC, then BD + DC = BC

Given

BC = 8x

CD = 3x + 8

BD = 4x + 10

Substitute and get x

8x = 3x+8 + 4x + 10

9X - 7X = 18

x = 18

Get BCBC = 8x

BC = 8(18)

BC = 144

Hence the length of segment BC is 144