In order to find CD, we need to use the properties of a line bisecting a line segment.
Since line n bisects CE, this means that CD and DE are congruent. Therefore, CD = DE.
Let's denote the length of CD and DE as x.
Now, we have CD = x and DE = x.
Since CE is just CD and DE combined, then CE = CD + DE.
Substituting the values of CD and DE, we get CE = x + x = 2x.
But we also know that CE is a different line segment and has a known length, let's call it a. Therefore, we can set up the equation:
2x = a
To find x, we need to isolate it. We can do this by dividing both sides of the equation by 2:
2x/2 = a/2
This gives us x = a/2.
So CD is equal to half the length of CE.
If line n bisects CE , Find CD. You must show all your work in order to receive full credit.
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