The answers to the segment addition problems are :
The required worksheet is attached below :
A segment is simply the shortest distance between two points, For a line segment, it is the line which connects two points.
Given that :
LM = 22 ; MN = 15
The segment LN is defined as :
LN = LM + MN
LN = 22 + 15
LN = 37
2.)
LN = 54
LN = 54 LM = 31
The line segment, LN equals :
LN = LM + MN
54 = 31 + MN
MN = 54 - 31
MN = 23
3.)
DF = 9x - 39
DE = 47
EF = 3x + 10
The line segment, DF equals ;
DF = DE + EF
9x - 39 = 47 + (3x + 10)
9x - 39 = 47 + 3x + 10
9x - 3x = 47 + 10 + 39
6x = 96
x = 96 / 6
x = 16
Hence,
EF = 3x + 10
EF = 3(16) + 10
EF = 48 + 10
EF = 58
Learn more on segment addition at : https://brainly.com/question/24267631
