24. B is between A and C. AB = 7x + 4, BC = 5x + 2, AC = 54. Find x and the length of AB and BC.
25. Given that M is the midpoint of LN, LM = 8x + 2, MN = 6x + 14, find LN.
26. Points X, E, and R are collinear. If XR = 8, ER = 20, and EX = 12, which point is between the other two?
27. Find the length of a segment with endpoints (1, 7) and (-9, 2).
28. Identify the hypothesis of the statement
“If today is Tuesday, then tomorrow is Wednesday.”
29. Identify the contrapositive of “
If you are a bulldog, then you are cool.”
Swimming with piranha is very dangerous.”
30. Identify the converse of “
“If you drink milk, you will be strong.”
31. Identify the inverse of
32. Identify whether the reasoning is inductive or deductive. After picking marigolds for the first time, Elizabeth began to sneeze.
She also began to sneeze the next four times she was near marigolds. Elizabeth concluded that she is allergic to marigolds.
33. Identify whether the reasoning is inductive or deductive. James measured angle A and found that it measured exactly 90
degrees. James concluded that angle A was a right angle.
If a student is in Geometry, then they are in a
34. Identify the conclusion drawn from this statement using the Law of Detachment: “
math class. Robert is in Geometry.”
“If Jill eats pancakes then she will be thirsty. If she
35. Identify the conclusion drawn from this statement using the Law of Syllogism:
is thirsty, then she will drink some milk.”
Statement
Diagram
Conclusion
Always True
Not Always True
Justification
36. 4 and 6 are
complementary
37. 1 and 3 are
supplementary
38. A is between C and R
f
k//m
39. m5 = 4x + 18 and m4 = 5x 2. Find m5.
1
2
k
3
4
5
6
m
40.
m2 = 3x + 6 and m6 = 5x 8. Find m7.
7 8