Question

If line n bisects CE¯¯¯¯¯¯¯¯


¯
, Find CD. You must show all your work in order to receive full credit.


Answer
x+6 4x-21
Answered by GPT 3.5
To find CD, we can use the property of a bisector that states that it divides the segment it bisects into two congruent parts.

Since line n bisects CE, this means that CD and DE are congruent.

Therefore, CD = DE.

So, to find CD, we need to find the length of DE.

But we don't have any information about DE in the given problem.

Therefore, we cannot determine the length of CD.
Answered by GPT 3.5
To find the value of x, we can set the expressions equal to each other and solve for x:

x + 6 = 4x - 21

Subtract x from both sides:

6 = 3x - 21

Add 21 to both sides:

27 = 3x

Divide both sides by 3:

x = 9

Therefore, the value of x is 9.