AnswersAISD 26-27 Geometry CR BSolving for Angle Measures of Right Triangles

Solving for Angle Measures of Right Triangles — Cumulative exam Answers

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Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

A
f(x) = 6x – 1
B
f(x) = 8x – 6
C
f(x) = 4x – 14
D
f(x) = 4x – 10
62
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The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles.

A
an acute triangle, because 222 + 542 >512
B
an acute triangle, because 222 + 512 >542
C
an obtuse triangle, because 222 + 542 >512
D
an obtuse triangle, because 222 + 512 >542
63

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

A
f(x) = 85(1 – 0.25)x
B
f(x) = 85(1 + 0.25)x
C
f(x) = 85(0.25)x
D
f(x) = (85 – 0.25)x
64

The table shows the maze-completion times, in seconds, of two sets of mice in an experiment. Which statement is true about the variability of the group times?

Question illustration
A
The times in Group A have a greater standard deviation.
B
The times in Group A have a greater median.
C
The times in Group B have a greater interquartile range.
D
The times in Group B have a greater mean.
65

Which is the best description of the graph of the function f(x) = 60()x?

Question illustration
A
The graph has an initial value of 20, and each successive term is determined by subtracting .
Option A
B
The graph has an initial value of 20, and each successive term is determined by multiplying by .
Option B
C
The graph has an initial value of 60, and each successive term is determined by subtracting .
Option C
D
The graph has an initial value of 60, and each successive term is determined by multiplying by .
Option D
66

If the legs of an isosceles right triangle have a length of ft, what is the length of the hypotenuse?

Question illustration
A
7.5 feet
B
feet
Option B
C
feet
Option C
D
30 feet
67

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches.

Question illustration
A
3 inches
B
4 inches
C
5 inches
D
6 inches
68

A website lists homes for sale in a suburban town. The site provides information including neighborhood, selling price, age of the home (in years), number of bedrooms, and whether the home has a garage. Which of the variables is a categorical variable?

A
neighborhood
B
selling price
C
age of the home
D
number of bedrooms
69

The dotplot below displays the difference in scores for 18 games between a high school soccer team and its opponent.

Question illustration
A
skewed to the left
B
bimodal symmetric
C
skewed to the right
D
unimodal symmetric
70

A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.What is the approximate probability that exactly three of the cards are diamonds?

A
1%
B
4%
C
11%
D
44%
71

The value of a computer depreciates with age, as shown in the table.Value of a Computer

Question illustration
A
f(t) = 1,600 – 226.16t
B
f(t) = 1,600 – 320t
C
f(t) = 1,600(0.2)t
D
f(t) = 1,600(0.8)t
72

Which best describes the range of the function f(x) = 2(3)x?

A
y > 0
B
y ≥ 0
C
y > 2
D
y ≥ 2
73

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.What is the height of the cylinder?

A
2 units
B
4 units
C
6 units
D
8 units
74

The president of a school club would like to purchase T-shirts for members of the club and asks members which size they would like to order. The results are shown in the graph below.

Question illustration
A
T-shirt size is a discrete quantitative variable.
B
T-shirt size is a continuous quantitative variable.
C
Frequency of each size is a discrete quantitative variable.
D
T-shirt size is a categorical variable.
75

The table shows the side length and approximate area of an octagonal stop sign.Area of a Stop Sign

Question illustration
A
f(x) = 4.8x2
B
f(x) = 4x2
C
f(x) = (4.8)x
D
f(x) = (4)x
76

Right triangle XYZ has a right angle at vertex Y and a hypotenuse that measures 24 cm. Angle ZXY measures 70o.What is the length of line segment XY? Round to the nearest tenth.

A
8.2 cm
B
8.7 cm
C
22.6 m
D
25.5 cm
77

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

A
7x + 2y = –1
B
7x + 2y = 1
C
14x + 4y = –1
D
14x + 4y = 1
78

Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?

A
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 2, 14, 39, 55. The second column is labeled total pages read (y) with entries 79, 101, 153, 185.
Option A
B
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries negative 16, 6, 27, 52. The second column is labeled total pages read (y) with entries 43, 87, 129, 179.
Option B
C
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 19, 32, 47. The second column is labeled total pages read (y) with entries 0, 113, 139, 169.
Option C
D
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 11, 20.25, 58. The second column is labeled total pages read (y) with entries 75, 97, 115.5, 191.
Option D
79

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

A
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 100, negative 25, 40, 600. The second column is labeled money collected (y) with entries negative 500, negative 125, 250, 3000.
Option A
B
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 20, 20, 100, 109. The second column is labeled money collected (y) with entries negative 100, 100, 500, 545.
Option B
C
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.
Option C
D
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 5, 65, 80, 200. The second column is labeled money collected (y) with entries 25, 350, 400, 1000.
Option D
80

Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four different colors.If order does not matter, in how many ways can she pick four colors if green must be one of them?

A
4
B
6
C
10
D
15

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