Question

Which value of x would make NO II KJ?

1
6
8
10

Answer 1

8

Explanation:

Answer 2

we know that

If NO II KJ

then

triangles LKJ and LNO are similar and the ratio of the corresponding sides are equals

so

`(LO)/(LN)= (LJ)/(LK)`

we have

`LO=(x-4)\ in`

`LN=(x-3)\ in`

`LJ=LO+OJ=(x-4)+x=2x-4\ in`

`LK=LN+NK=(x-3)+(x-2)=2x-1\ in`

substitute

`(x-4)/(x-3)=(2x-4)/(2x-1) \\ \\(x-4)*(2x-1)=(2x-4)*(x-3)\\ \\2x^(2) -x-8x+4=2x^(2) -6x-4x+12\\ \\-9x+10x=12-4\\ \\ x=8\ units`

therefore

the answer is the option

`x=8\ units`