Mathematics: Mn and kl are parallel. if jm = 6, mk = 12, and ln = 18, what is nj?

Mn and kl are parallel. if jm = 6, mk = 12, and ln

genyjoannerubiera

31.12.2021

NJ=9

Step-by-step 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:

$\frac{NJ}{LN}=\frac{JM}{MK}$

$\frac{NJ}{18}=\frac{6}{12}$

Multiplying both sides by 18, we will get:

$\frac{NJ}{18}*18=\frac{6}{12}*18$

$NJ=\frac{1}{2}*18$

NJ=9

Therefore, measure of NJ is 9 units.

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