Question

MN and KL are parallel. If JM = 6, MK = 12, and LN = 18, what is NJ?

Answer 1

6/12=X/18
Using the ratio of 18:12, you multiply 18/12 with 6, which equals 9.

Answer: NJ=9

Answer 2

`NJ=9`

Explanation:

We have been given that MN and KL are parallel. If JM = 6, MK = 12, and LN = 18. We are asked to find the measure of NJ.

Since line MN is parallel to KL, so triangle JMN is similar to JKL.

We know that corresponding sides of similar triangle are proportional. We will use proportion to solve for NJ as:

`(NJ)/(LN)=(JM)/(MK)`

`(NJ)/(18)=(6)/(12)`

Multiplying both sides by 18, we will get:

`(NJ)/(18)*18=(6)/(12)*18`

`NJ=(1)/(2)*18`

`NJ=9`

Therefore, measure of NJ is 9 units.