Given: AB = 3x + 2; BC = 4x + 8; AC = 38
Prove: x = 4
Statements Reason
1. AB =...
Mathematics, 12.12.2021 01:00 cvalentine3199
Given: AB = 3x + 2; BC = 4x + 8; AC = 38
Prove: x = 4
Statements Reason
1. AB = 3x + 2; BC = 4x + 8;
AC = 38 1. Given
2. AB + BC = AC 2. Segment Addition Postulate
3. 3x + 2 + 4x + 8 = 38 3. Substitution Property of Equality
4. 7x + 10 = 38 4. Combining Like Terms
5. 7x = 28 5. Addition Property of Equality
6. x = 4 6. Division Property of Equality
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