m is the midpoint of segment jk. jm=x/8 and jk=3x/4 subtracted by 6. find mk

2 answers

if m is the midpoint, jm = mk, so

x/8 = 3x/4 - 6
x = 48/5

jm = mk = 6/5
JM=MK=JK/2
x/8 = (3x/4-6)/2
x/8 = (3X/4-24/4)/2
x/8 = 3x/8 - 24/8
x = 3x - 24
x-3x = -24
-2x = -24
x = 12
12/8 = 1.5 = JM = MK