Segments and Bisectors

Algebra
Tutor: None Selected Time limit: 1 Day

Line EC bisects Line AD at point C. Find value of x if AC=3x +6 and CD= 2x +14

Sep 11th, 2015

Thank you for the opportunity to help you with your question!

If line EC bisects the line AD at point C , 

AC=CD; therefore, 3x+6=2x+14

On solving, we have 

3x-2x=14-6

x=8

Thus at x=8, AC=24+6=30

and CD=16+14=30

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 11th, 2015

Line EC bisects line AD and point C. Find value of x and AD if AC=5x-8 and CD=16-3x.

Sep 11th, 2015

AC=CD

5x-8=16-3x

8x=24

x=3

AC=7; CD=7

Sep 11th, 2015

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