Question

If line n bisects CE, find CD. ​

Answer 1

If it bisect, then using the Line Bisector Theorem, it must be equal.

So x+6=4x-21

get like terms on 1 side

x+6=4x-21

-x. +21

27= 3x

x=9

plug the x in

CD= 9+6

CD=15

Answer 2

ANSWER:
x=9, CD=15

EXPLANATION:
Since line n bisects CE, and the word “bisect” means to divide into two congruent parts, we can infer that CD=DE.

We can then substitute in x+6 in place of CD, and 4x-21 in place of DE, creating the equation x+6=4x-21.

After solving for x, we can then plug in the x-value of 9 into the expression for CD, and get the final answer of 15.