36. What is the measure, in degrees, of the angle shown below?
72-75
Bonus: How many lines of symmetry does a regular octagon have?
8 lines of symmetry
37. List all the factors of 21.
1, 3, 7, 21
41. The line plot below shows the amount of time Jamie spent working on his book report each day for four days.
What is the total amount of time, in hours, that Jamie spent working on his book report for those four days? Show your work.
3/4 +1 2/4 + 1 2/4 + 2= 5 3/4
or 3/4 + 6/4 + 6/4+8/4 = 23/4
38. A square is divided into two equal triangles as shown below. What type of triangles are created when the square is divided into the two equal triangles?
Right triangles or isosceles
Two expressions are shown below.
Expression A: 1/4 X 2
Expression B: 1/2 X 5
Which expression, A or B, has a value greater than ? Be sure to include the value of each expression in your answer. Explain how you know your answer is correct.
Expression A= 2/4 or 1/2 which is equivalent to 1/2 and less than 1
Expression B=5/2 which is equal to 2 1/2 which is greater than 1. Expression B has the greater value.
39. A soccer team sold water bottles to earn money to buy new soccer balls. The team earned a total of $170. If the team pays $9 per soccer ball, what is the greatest number of soccer balls they can buy with the money earned? Explain your answer.
18
I divided $170 by $9 and I got 18 with a remainder of 8. They can buy 18 soccer balls and have $8 left. Since each soccer ball costs $9, it is not possible to buy another ball with only $8. They can buy 18 balls.
43. A rhombus is shown below.
Use what you know about parallel, perpendicular, or intersecting sides to describe one pair of sides in the rhombus shown. Explain how you know your answer is correct.
Side AD is parallel to side BC
OR
Side AB is parallel to side DC
because if the two sides are extended, the lines formed would not intersect.
40. Two numbers are shown below.
4,699 and 4,780
Write the two numbers in expanded form, and then compare them using the >, <, or = symbol. Be sure to include what you know about place value in your answer.
Explain how you know your answer is correct.
4,000+600+90+9<4,000+700+80+0
or
4,000+600+90+9
4,000+700+80+0
4,699<4,780
I know my answer is correct because the number in the thousands place is the same in both numbers, but 700 is greater than 600.
44. Chairs have been set up for an event. There are 11 rows of chairs with 12 chairs in each row. When the event is over, the chairs are put away on chair racks. If each chair rack holds exactly 9 chairs, what is the fewest number of chair racks needed to hold all of the chairs? Explain how you know your answer is correct
15 chair racks
11 rows of chairs with 12 chairs in each row is 11x12=132 chairs. Each chair rack holds 9 chairs, so 132 divided by 9 is equal to 14 remainder 6. Since there are 6 chairs left over we need an additional chair rack to hold them. The fewest number of chair racks needed is 15 chair racks.