Question

J is the midpoint of CT
If:
CJ= 5x – 3 and
JT = 2x + 21
Find CT.

Answer 1

CT = 74

Explanation:

J = the midpoint of CT

CJ = JT

5x – 3 = 2x + 21

+3 +3

------------------------

5x = 2x + 24

-2x -2x

-------------------------

3x = 24

x = 8

Now, we know that CT = CJ + JT

= 5x - 3 + 2x + 21

= 7x + 18

now our x value we found was 8 right? Plug that in here.

= 7 (8) + 18

= 56 + 18

= 74

Answer 2

74

Explanation:

Since J is the midpoint, that just means that both CT and JT are going to be the same length. With that information we can create an equation and solve for x.

5x - 3 = 2x + 21

5x = 2x + 24

3x =24

x = 8

Now to find the length of CT, we will add both equations to find the total length.

5x - 3 + 2x + 21

5(8) - 3 + 2(8) + 21

40 - 3 + 16 + 21

37 + 16 + 21

53 + 21

74

Best of Luck!