Math  /  Geometry

QuestionFind the correct equation using the Segment Addition Postulate for segments EF=3x20EF = 3x - 20 and FG=2x7FG = 2x - 7. Options are:
1. (3x20)+23=(2x7)(3x-20)+23=(2x-7)
2. (3x20)+(2x7)=23(3x-20)+(2x-7)=23
3. (2x7)+23=(3x20)(2x-7)+23=(3x-20)

Studdy Solution
Option1 and option3 both add a constant to one of the segment lengths, which is not consistent with the Segment Addition Postulate. Therefore, none of the provided options are correct according to the Segment Addition Postulate.
The correct equation according to the Segment Addition Postulate is(3x20)+(2x7)=5x27(3x-20)+(2x-7)=5x-27

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