Giving this a shot to see if I’m correct. If not, I apologize (just trying to help).
Since JM = 4x - 29
and JK + KL + LM = JK
Where JK = 6
KL = 13
LM = 2x - 18
Plug the given values for each segment:
JK + KL + LM = JK
6 + 13 + 2x - 18 = 4x - 29
Add 29 to both sides:
6 + 13 + 2x - 18 + 29 = 4x - 29 + 29
6 + 13 + 2x - 18 + 29 = 4x
Subtract 2x from both sides:
6 + 13 + 2x - 18 + 29 - 2x = 4x - 2x
6 + 13 - 18 + 29 = 2x
Combine like terms:
19 - 18 + 29 = 2x
30 = 2x
Divide both sides by 2 to solve for x:
30/2 = 2x/2
15 = x
Double-check whether the value of x provides a true statement, by plugging its value into the equation:
JK + KL + LM = JK
6 + 13 + 2(15) - 18 = 4(15) - 29
19 + 30 - 18 = 60 - 29
31 = 31 (True statement).
Therefore, x = 15.
Please mark my answers as the Brainliest if you find this helpful :)
