Question

L is the midpoint of CD. If CL=1/3x+8 and LD2/3x-4, find the length of CD.

Answer 1

@Mertsj

Answer 2

First, u want to find x. Since L is the midpoint, those 2 segments are =.

1/3x+8=2/3x-4

Answer 3

Solve the proportion nikato posted.

Answer 4

12=1/3x
is this correct?

Answer 5

Cross multiply:
6x+16=3x-4

Answer 6

Correct. And now multiply both sides by 3 so x=36. Substitute this value for both and add them together

Answer 7

@nikato i dont quite understand what you just asked me to do sorry

Answer 8

Ok. So we have x=36. Now substitute this value to both those expression to find the lengths of CL and LD

Answer 9

@Mertsj 6.7=x is what i got from what you told me to solve

Answer 10

The statement of the problem is not clear.
Is this it:
(1/3)x +8=(2/3)x-4 ???

Answer 11

yes

Answer 12

Then, adding 4 to both sides we have:
(1/3)x+12=(2/3)x

Answer 13

Subtracting (1/3)x from both sides we have:
12=(1/3)x

Answer 14

Multiplying both sides by 3 we have:
36=x

Answer 15

i think im following

Answer 16

If x = 36 then (1/3)x+8=(1/3)(36)+8=12+8=20

Answer 17

So half of the segment is 20 units and the entire segment is 40

Answer 18

ok cool :)

Answer 19

so CD =40?

Answer 20

So half of the segment is 20 units and the entire segment is 40

Answer 21

:) thanks