The points J,K,L and M all lie on the same line segment, in that order, such that the ratio of JK : KL: LM Is equal to 2:1:2.if JM=30, find JL

Question

Can someone help me with the problem please

Answer 1

Hello Juan!

So, we know that JM is the longest segment and the other three segments are between J and M.

That means that we can add the parts of the ratio together (2 + 1 + 2 = 5), and we find that JM has 5 parts.

Since JM = 30, we can divide it by 5 and see that each part is equal to 6.

We can add the JK and KL parts together (2 + 1 = 3) to show that JL has 3 parts.

Then we multiply 3 by 6 to find our answer:

JL=18

Hope that was helpful! It might be good to draw a picture of the problem as well.

Answer 2

JL = 3/5 of JM or (3/5) x 30 = 18

JL = (2+1)/(2+1+2) = 3/5 of 30

Answer 3

hi,

o------------------j--------k----L--------M

JK : KL: LM Is equal to 2:1:2.if JM=30,

JK = 2x KL= 1x LM= 2x JM= 30 = JK + KL + LM = 2x + x + 2x = 5x------> 30 = 5x ----> x = 6

your question is JL= JK + KL = 2x + 1x = 3x = 18

I hope it is useful.

Minoo