kathrynway2715
22.07.2021 •
Mathematics
Find the number of all the 2-digit numbers satisfying the following congruences x ≡ 3(mod7), x ≡ 2(mod5).
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Ответ:
Ответ:
Statement Reason
1. AB = x + 16 1. Given
BC = 4x + 11
AC = 77
2. AB + BC = AC 2. Segment Addition Postulate
3. x + 16 + 4x + 11 = 77 3. Substitution Property
4. 5x + 27 = 77 4. Simplification (added like terms)
5. 5x = 50 5. Subtraction Property of Equality
6. x = 10 6. Division Property of Equality
7. AB = 10 + 16 7. Substitution Property
8. AB = 26 8. Simplification (added like terms)