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Oksanka [162]
3 years ago
14

Complete the proof by filling in the missing reasons using the Reasoning bank.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

 Statements                                                      Reasons

1. M lies on AB                                                    Given

2. AM+MB=AB                                                   Definition of midpoint

3. 2x+2+4x-4 = 16                                             Segment Addition Postulate

4. 6x-2 = 16                                                         Combining like terms

5. 6x = 18                                                             Addition Property of equality

6. x = 3                                                               Division Property of equality

7. AM=2(3)+2 and MB=4(3)-4                            Substitution property of equality

8. AM=8 and MB=8                                              Definition of midpoint

9. M is a midpoint                                                Hence, proved.

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