Answer:
Reasoning and Proof Unit Test
Explanation:
1. 67
2. counterexample
3. If you join the gym, then it is free for the first three months.
Hypothesis: you join the gym
Conclusion: it is free for the first three months
4. Yes; two lines intersect at right angles if (and only if) they are perpendicular
5. An angle is obtuse if and only if its measure is greater than 180
6. Symmetric Property
7. 12
8. RT-ST
9. x=8, y=9
10. 7
11. Symmetric Property
12. invalid
13. A. is Substitution Property of Equality, B. is Supplementary Angles, C. is Subtraction Property of Equality
14. (A) 180, (B) 180, (C) transitive property, (D) 3, (E) 3
15. The value of x is 3.
a) Addition of line segments
b) Substitution rule
c) Simplification by addition of like terms
d) Collecting lie terms
e) Dividing both sides by 8
AB = 2x
BC = 6x + 8
AC = 32
AB + BC = AC (Addition rule)
Addition of the component segments of a line
2x + 6x + 8 = 32 (Substitution rule)
Substituting for AB, BC, and AC in the equation AB + BC = AC
8x + 8 = 32 (Simplification)
Simplifying 2x + 6x + 8 = 32 by adding like terms
8x = 24 (Collecting like terms)
8x = 32 - 8
8x = 24
x = 3 (Divide both sides by 8)
8x / 8 = 24/8
x = 3
16. If it is square it is a Quadrilateral.
17. 7y = 8x - 14
7(6) = 8x - 14
Collect like terms.
42 = 8x - 14.
8x = 42 + 14
8x = 56
x = 56/8
x = 7
These are all the correct answers as of 2022