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C is the midpoint of AB. D is the midpoint of AC. E is the midpoint of DC. If DE = x2 and CB = 3x2 + 3x, describe the relationship between DE and CB and find the length of AB. PLZ HELP!!

1 Answer

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Please find illustration attached

Answer and explanation:

I have illustrated the bisection of the lines using a diagram so it's easier to solve length of AB

Comparing line DE and CB, we know that DE is half of line DC and DC is half of CB, because CB= AC

Therefore DE is a quarter of line CB because length of DE × 4 will be equal to CB

To find length of AB, we go from known to unknown

We know from what we are given that line AB has a midpoint C, CB in line AB = 3x²+3x

CB=AC because CB is half of line AB

Therefore line AB

=3x²+3x+3x²+3x

= 6x²+6x

C is the midpoint of AB. D is the midpoint of AC. E is the midpoint of DC. If DE = x-example-1
User Maxim Fateev
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