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3 May 2022
Given: A ≅ B , m A = 55, and m B = 5x + 10
Prove: x = 9
Statement: Reason:
1. A ≅ B 1. Given
2. m A = m B 2. Congruency
3. m A = 55 3. Given
4. 55 = m B 4. Substitution
5. m B = 5x + 10 5. Given
6. 55 = 5x + 10 6. Substitution
7. 45 = 5x 7. [?]
8. x = 9 8. Division Property of Equality
Select the reason that best supports Statement 6 in the given proof.
A. Distributive Property
B. Substitution
C. Division Property of Equality
D. Subtraction Property of Equality
Given: A ≅ B , m A = 55, and m B = 5x + 10
Prove: x = 9
Statement: Reason:
1. A ≅ B 1. Given
2. m A = m B 2. Congruency
3. m A = 55 3. Given
4. 55 = m B 4. Substitution
5. m B = 5x + 10 5. Given
6. 55 = 5x + 10 6. Substitution
7. 45 = 5x 7. [?]
8. x = 9 8. Division Property of Equality
Select the reason that best supports Statement 6 in the given proof.
A. Distributive Property
B. Substitution
C. Division Property of Equality
D. Subtraction Property of Equality
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