If lk = mk. lk = 7x-10. x + 3. min = 9x-11 and kj = 28 find lj

LJ = 46

Step-by-step explanation:

Suppose J, K, L, M, N are on same line

And

MK = MN + (-KN)

MK = MN-KN

MK = 9x-11 - (x+3)

MK=9x-11-x-3

MK = 8x-14

Now we have given that LK=MK

and LK = 7x-10

So,

LK=MK

7x-10 = 8x-14

Combine the like terms:

7x-8x = - 14+10

-x = - 4

x=4

LJ = MK + KJ

MK=LK = 7x-10 = 7 (4) - 10

=28-10

= 18

LJ=18+28

LJ=46 ...