Point B is between points C and D. Determine the value for x and the length of each segment if CB = 2x, BD = 4x, and CD = 12.

Question

asked Sep 25, 2023 112k views

1 Answer

Marconline · Answer 1 · 2023-10-01T17:52:56+0000

Answer:

x = 2

CB = 4

BD = 8

Explanations:

B is the point between C and D

This can be expressed diagramatically as:

CB = 2x

BD = 4x

CD = 12

Note: CB + BD = CD

2x + 4x = 12

6x = 12

x = 12 / 6

x = 2

To get the length of each segment:

CB = 2x

CB = 2(2)

CB = 4

BD = 4x

BD = 4(2)

BD = 8