okay for this problem i keep getting 14! but that isn't an option can someone help me??
https://gyazo.com/74d5f7923890930a649f7575133fbafb (the problem)

Question

okay for this problem i keep getting 14! but that isn't an option can someone help me??
https://gyazo.com/74d5f7923890930a649f7575133fbafb (the problem)

hartnn · Answer

can you show us how did you get 14? :)

anonymous · Answer

@hartnn KL=NM/2 
(4X+1)/2 27/2
0.5           13.5

anonymous · Answer

OHH NVM but is that correct?? @hartnn

anonymous · Answer

13.5 - 0.5? idk

anonymous · Answer

@Needhelpstudying  hmmm idk im kind of stuck on this problem

hartnn · Answer

KL = NM/2 ?
which property did you use?

anonymous · Answer

@hartnn the top KL and the bottom NM divided by two. thats what my book says to do but i get 13.5

anonymous · Answer

is it 13? or not?!?!?

hartnn · Answer

so can you solve this for x:
$(4x+1) + 27 = 5x+2$

and when you get 'x',
you can just calculate 4x+1 to get KL.

i am not sure of the name of the property that is used...

hartnn · Answer

oops,
i meant 
$(4x+1) +27 = 2(5x+2)$

hartnn · Answer

the mid-segment is the average of the outer two.

anonymous · Answer

thank you @hartnn

hartnn · Answer

what did you get as x?

anonymous · Answer

i just got 22 @hartnn is that correct?

hartnn · Answer

Let me show you my work, then you can see what you missed:

(4x+1)+27=2(5x+2)

4x +28 = 10x + 4

10x - 4x = 28 -4

6x = 24

x = 4

KL = 4x+1 = 4(4) + 1  = 16 +1 =17

ask if any doubts?

anonymous · Answer

okay comparing it to my work i just didnt remember that x=1

hartnn · Answer

we "calculated" x as 4.