If line n bisects CE, find CD.
2 answers:
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:
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.
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