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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Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.

Question illustration
A
4 ft
B
4.8 ft
C
6 ft
D
7.2 ft
42
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Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.

Question illustration
A
Three-fifths
Option A
B
Three-fourths
Option B
C
Four-fifths
Option C
D
Four-thirds
Option D
43

The Venn diagram shows the number of employers who ranked skills important for careers in their field.C represents communication, T represents technical skills, and M represents the ability to handle money.

Question illustration
A
47
B
50
C
67
D
86
44

An oblique prism has trapezoidal bases and a vertical height of 10 units.

Question illustration
A
10x3 cubic units
B
15x2 cubic units
C
20x3 cubic units
D
30x2 cubic units
45

The base of a solid right pyramid is a square with an edge length of n units. The height of the pyramid is n − 1 units.

Question illustration
A
n(n − 1) units3
Option A
B
n(n − 1)2 units3
Option B
C
n2(n − 1) units3
Option C
D
n3(n − 1) units3
Option D
46

The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

A
34.8°
B
44.8°
C
46.3°
D
47.9°
47

The height and base radius of a cone are increased by a factor of 2 to create a similar cone. How is the slant height of the cone affected?

A
The slant height of the larger cone is equal to the slant height of the smaller cone.
B
The slant height of the larger cone is double the slant height of the smaller cone.
C
The slant height of the larger cone is 4 times the slant height of the smaller cone.
D
The slant height of the larger cone is 8 times the slant height of the smaller cone.
48

Triangle N L M is reflected over a line to form triangle A B C.

Question illustration
A
ΔNLM ≅ ΔCAB
B
ΔNLM ≅ ΔCBA
C
ΔNLM ≅ ΔBCA
D
ΔNLM ≅ ΔBAC
49

Triangle ABC is similar to triangle LMN, which is formed using LM, as shown.

Question illustration
A
(3,4)
B
(4,–3)
C
(–3,4)
D
(4,3)
50

The side-by-side dotplot below displays the arm spans, in centimeters, for two classes.

Question illustration
A
The mean arm span appears to be similar for the two classes.
B
The arm spans for Class A have less variability than the arm spans for Class B.
C
The arm spans for Class B have more variability than the arm spans for Class A.
D
The arm spans for Class A are roughly symmetric, while those for Class B are skewed left.
51

The bar graph below displays students’ responses to the question "What caffeinated drinks do you consume?”

Question illustration
A
The highest percentage of students drink coffee.
B
More than three times as many students drink tea as energy drinks.
C
The number of students who drink tea is about the same as the number of students who drink soda.
D
All of the above.
52

A 10-item statistics quiz was given to 30 students. The table below gives the scores received along with the corresponding frequencies.

Question illustration
A
7.5
B
8.5
C
9
D
10
53

People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below.Pink lemonade: 156 males, 72 femalesYellow lemonade: 104 males, 48 females

A
P(pink lemonade | female) = P(pink lemonade) = 0.6.
B
P(female | pink lemonade ) = P(pink lemonade) = 0.3.
C
P(pink lemonade | female) = 0.3 and P(pink lemonade) = 0.6.
D
P(female | pink lemonade ) = 0.3 and P(pink lemonade) = 0.6.
54

Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 residents from two different neighborhoods are shown in the histograms below.Which of the following is a true statement comparing the water bills of the two neighborhoods?

Question illustration
A
More homes on Front Street had water bills above $225 than on Pine Road.
B
More homes on Pine Road had water bills under $150 than on Front Street.
C
More homes on Pine Road had water bills above $200 than on Front Street.
D
The same number of homes on both streets had water bills between $175 and $200.
55

Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 neighborhood residents are displayed in the histogram below.

Question illustration
A
uniform
B
skewed left
C
skewed right
D
roughly symmetric
56

Quadrilateral A B C D is translated up and to the right and then is rotated 180 degrees about point Q to form quadrilateral X Y Z W.

Question illustration
A
ABCD ≅ WXYZ
B
ABCD ≅ ZYXW
C
ABCD ≅ WZYX
D
ABCD ≅ ZWXY
57

Without making any calculations, which distribution of data has the largest standard deviation?

A
1, 1, 1, 1, 4, 4, 7, 7, 7, 7
B
1, 1, 1, 4, 4, 4, 4, 7, 7, 7
C
1, 1, 4, 4, 4, 4, 4, 4, 7, 7
D
1, 4, 4, 4, 4, 4, 4, 4, 4, 7
58

Which table shows no correlation?

A
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.
Option A
B
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.
Option B
C
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.
Option C
D
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.
Option D
59

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.What is the approximate probability that the code only contains odd numbers?

A
0.0005
B
0.00099
C
0.012
D
0.02381
60

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.

Question illustration
A
1.5
B
2.25
C
3.0
D
4.5

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