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Who currently recognizes the Rio Grande River as the border between the U.S and Mexico?
A. Texas and Florida
B. New Mexico and Mexico
C. Mexico and the U.S.

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Given: Point B is the midpoint of segment AC, AB = 2(x-6), and BC = x 2
Prove: x=8
Statement:                                Reason:
1. B is the midpoint                        1 Given of segment AC
2. AB = BC                                    2. Definition of Midpoint
3. AB=2(x-6)                                  3. Given
4. BC=x 2                                  4. Given
5. 2(x-6) = x+2                               5. Substitution
6. 4(x-6) = x                                   6. [ ? ]
7. 4x-24 = x                                   7. Distributive Property
8. 4x = x+24                                   8.
9. 3x = 24                                       9. Subtraction Property of Equality
10. x = 8                                         10. Division Property of Equality
 
Select the reason that best supports Statement 6 in the given proof.
A. Subtraction Property of Equality
B. Addition Property of Equality
C. Multiplication Property of Equality
D. Division Property of Equality
Given: Segment AC has a length of 24 units, point B lies somewhere on segment AC, and the length of segment BC is 6 units.
Prove: AB=18
           Statement:                                Reason:
1. Point B lies on segment A C             1. Given
2. AB+BC = AC                                  2. Postulate
3. AC = 24                                        3. Given
4. BC = 6                                          4. Given
5. AB+6 = 24                                    5. [?]
6. AB = 18                                        6.
 
Select the reason that best supports Statement 5 in the given proof.
A. Transitive Property
B. Subtraction Property of Equality
C. Substitution
D. Division Property of Equality
Select the proper form of the word to complete the following sentence. The new student was smart but _____ than we had anticipated. 
A. the most impetuous 
B. impetuouser 
C. more impetuous 
D. impetuousest 
 

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