Find length of mn such that ln = 5.7 and lm = 1.3 mn= x + 2.1

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.

A. segment YZ is located at Y (0, 9) and Z (−18, 9) and is three times the size of segment Y prime Z prime

Step-by-step explanation:

If the segments are dilated by 3 times its size you multiply each number by 3.      (0,3) 0 times 0 is 0 then 3 times 3 is 9 which makes (0,9). (-6,3) -6 times 3 is -18 and 3 times 3 is 9 which makes (-18,9)