If EF = 2x – 12, FG = 3x – 15, and EG = 23, find the values of x, EF, and FG.

The values of x, EF, and FG from the line segment are 10, 8 and 15 respectively.
An equation is an expression that shows the relationship between two or more numbers and variables.
EG = EF + FG (segment addition postulate)
Hence:
23 = (2x - 12) + (3x - 15)
x = 10
EF = 2(10) - 12 = 8
FG = 3(10) - 15 = 15
The values of x, EF, and FG from the line segment are 10, 8 and 15 respectively.
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