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

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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sorry not sure

step-by-step explanation:

equal to

step-by-step explanation:

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.