Points EC bisects points AD at C. For each of the following, find the value of 'x' and the measure of the indicated segment. Please correct me if I'm wrong!

1. AC= 3x+6 and CD=2x+14
x=_______
AC=______
Answer: x=8
AC= 30

2. AC= 5x-8 and CD=16-3x
x=______
AD=_____
Answer: x=3
What will AD be because I'm sooo confused on how to work it out..

3. AD= 6x-4 and AC=4x-3
x=_______
CD______
Answer: x= .5
CD= I'm confused how you do this one too

4. AC=3x-1 and AD= 12-x
x=_____
CD=____
Answer: x= -3.25
CD= I'm have trouble working this one out too

*How do you find the measurement of the segments? Someone please walk me thorough on how to do it. I get how to find x but not the segments on #'s 2-4!

1 answer

Did you draw a diagram?
AC = CD
AD = AC+CD

#1 ok
#2. The calculation for x is just as in #1.
AD = AC+CD = 7+7 = 14

#3. AD=AC+CD = 2(AC), so
6x-4 = 2(4x-3)
x = 1
CD = 1
#4. As in #3,
12-x = 2(3x-1)
x = 2
CD = 5