Question

Find length of MN such that LN = 5.7 and LM = 1.3 MN= x + 2.1

Answer 1

1. First find the length of section MN.
LN - LM = MN
5.7 - 1.3 = MN
5.7 - 1.3 = 4.4

2. solve for x
MN = x + 2.1
4.4 = x + 2.1 now subtract 2.1 from both sides
2.3 = x

Answer: MN = 4.4, x = 2.3

Answer 2

Answer:

MN = 5.4

Step-by-step explanation:

This geometric problem is about a single straight segment with three points on it L, M and N, L is the beginning, M is in between and N is the end.

So, basically, the segment can be expressed like this: LN = LM + MN.

Then, in order to find MN, we just need to replace the values of each segment, that is, LN = 5.7; LM = 1.3 and MN = x + 2.1

Solving the equation:

LN = LM + MN

5.7 = 1.3 + x + 2.1

5.7 = x + 2.4

5.7 - 2.4 = x

x = 3.3

Now we know the variable, we can find MN:

MN = x + 2.1

MN = 3.3 + 2.1

MN = 5.4

Therefore, the length of MN is 5.4.