Question

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

Answer 1

LJ = 46

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 .....