J is the midpoint of CT
T
If:
CJ = 4x - 9 and
JT = 9x – 34
Find CT.

Step-by-step explanation:

4x - 9 = 9x - 34

-5x - 9 = -34

-5x = -25

x = 5

4(5) - 9 + 9(5) - 34

20 - 9 + 45 - 34

11 + 11 = 22

CT = 22

Step-by-step explanation:

given:

         4x - 9                                9x - 34

|||

C                                   J                                     T

find:  CT

CJ + JT = CT eq. 1

CJ = JT eq.2

plugin values using eq.2

4x - 9 = 9x - 34

combine like terms:

4x - 9x = 9 - 34

-5x = -25

x = -25 / -5

x = 5

solve for CT using eq.1

CJ + JT = CT

4x - 9 + 9x - 34 = CT

substitute x to 5

4(5) - 9 + 9(5) - 34 = CT

20 - 9 + 45 - 34 = CT

22 = CT

therefore,

CT = 22