1. Given: AB = 64; M lies on the line AB
AM = 4x + 4 BM= 6x-10
Prove: M is a midpoint.<...
Mathematics, 13.12.2020 23:10 stanleyt
1. Given: AB = 64; M lies on the line AB
AM = 4x + 4 BM= 6x-10
Prove: M is a midpoint.
Statements: Reason:
1) M lies on AB
AB= 64
2) AM + MB = AB -
3) 4x+4+6x-10=64 - Substitution Property
4) 10x- 6 = 64 -
5) 10x=70 -
6) x = 7 -
7) AM= 4(7) + 4 and
MB = 6(7) - 10 - Substitution Property
8) AM = 32 and MB = 32 - Simplifying
9) M is a midpoint.
Reasoning bank for #1
Addition Property of equality
Combine like terms
Definition of midpoint.
Division property of equality
Segment addition postulate
Answers: 1
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