I Need Help With My Geometry Homework?!?

Question

It's a new school year & I'm taking geometry. Well the teachers assigned us some work & I dont't really understand it. I'm not asking you to do my homework, just asking for help or steps to solve it. Or you can do it, and tell me how you got the answer & I can do the others. Your choice (:

Problem 31

-Suppose M is between L and N. Use The Segment Addition Postulate to solve for the variable. Then find the lenghts of the segments LM, MN, AND LN.

please hple me!

(:

it would be greatly appreciated.

Answer 1

The segment addition postulate says that LM + MN = LN

Add the 2 parts together and set it equal to LN and solve for the unknown variable. Then substitute in that value for the unknown to find each length.

For example, if LM = 2x + 1 and MN  =  x + 4 and LN = 5x - 1. set 2x+1 + x+4 = 5x - 1. x = 3

The lengths would be 7, 7 and 14.

Answer 2

the segment addition postulate says that if a point is between 2 others then by common sense, you can add the two smaller pieces to get the whole piece.

so since M is between L and N, then

LM + MN = LN  which is the answer for LN

using this equation and the subtraction property,

subtract LM from both sides to get MN=LN-LM

or subtract MN from both sides to get:

LM=LN-MN