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If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?

A
7 point 2 ft
B
4 ft
C
6 ft
D
4 point 8 ft
22
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Which value of x would make line segment NO is parallel to line segment KJ ?

A
8
B
10
C
1
D
6
23

What are the missing angle measures in triangle ABC ?

A
44.4 degrees and 45.6 degrees
B
18.6 degrees and 71.4 degrees
C
1.4 degrees and 88.6 degrees
D
35.5 degrees and 54.5 degrees
24

For the triangles to be similar by the SSS similarity theorem, what must be the value of y ?

A
18
B
24
C
26
D
20
25

Which is the general form of the equation of the circle shown?

A
x squared plus y squared minus 4 x plus 2 y plus 2 is equal to 0
B
x squared plus y squared plus 4 x minus 2 y minus 4 is equal to 0
C
x squared plus y squared minus 4 x plus 2 y minus 4 is equal to 0
D
x squared plus y squared plus 4 x minus 2 y plus 2 is equal to 0
26

Which statement is true about whether cap A and cap b are independent events?

A
cap A and cap b are not independent events because cap p times open paren cap A divides cap b close paren is equal to 0 point 4 and cap p times cap A is equal to 0 point 1 8 .
B
cap A and cap b are independent events because cap p times open paren cap A divides cap b close paren is equal to cap p times cap A is equal to 0 point 1 8 .
C
cap A and cap b are not independent events because cap p times open paren cap A divides cap b close paren is equal to 0 point 1 8 and cap p times cap A is equal to 0 point 4 .
D
cap A and cap b are independent events because cap p times open paren cap A divides cap b close paren is equal to cap p times cap A is equal to 0 point 4 .
27

In circle cap y , what is m angle SZT ?

A
128 degrees
B
86 degrees
C
94 degrees
D
108 degrees
28

What is the length of line segment DB ?

A
16 units
B
20 units
C
4 units
D
8 units
29

What is the length of line segment EB ?

A
65 units
B
42 units
C
50 units
D
73 units
30

What is the length of line segment DG ?

A
4 units
B
12 units
C
23 units
D
7 units
31

What are the measures of angles PQR and PSR ?

A
m angle PQR is equal to 54 degrees and m angle PSR is equal to 54 degrees
B
m angle PQR is equal to 96 degrees and m angle PSR is equal to 84 degrees
C
m angle PQR is equal to 90 degrees and m angle PSR is equal to 90 degrees
D
m angle PQR is equal to 84 degrees and m angle PSR is equal to 96 degrees
32

What is the length of line segment GF ?

A
20 point 0 units
B
17 point 5 units
C
15 point 0 units
D
12 point 5 units
33

Which piece of additional information can be used to prove that triangle RST approximates triangle VUT ?

A
angle cap v is congruent to angle cap u
B
angle cap r is congruent to angle cap v
C
3ST is equal to UT
D
line segment RT is equal to line segment ST
34

Which best explains if quadrilateral WXYZ can be a parallelogram?

A
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
B
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
C
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
D
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15 .
35

In parallelogram LMNO , what is the measure of angle cap m ?

A
100 degrees
B
20 degrees
C
60 degrees
D
80 degrees
36

What are the coordinates of point cap A of the pre-image?

A
open paren negative 9 comma 18 close paren
B
open paren negative 1 comma 2 close paren
C
open paren negative 9 comma 6 close paren
D
open paren negative 1 comma 1 close paren
37

Which composition of similarity transformations maps triangle LMN to triangle liters prime cap m prime cap n prime ?

A
a dilation with a scale factor greater than 1 and then a translation
B
a dilation with a scale factor less than 1 and then a reflection
C
a dilation with a scale factor greater than 1 and then a reflection
D
a dilation with a scale factor less than 1 and then a translation
38

What is the measure of arc AD ?

A
53 degrees
B
180 degrees
C
74 degrees
D
106 degrees
39

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
40

Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race. Which subset, cap A , of the sample space shows the complement of the event in which Oliver is the first skater in the race?

A
cap A is equal to OPMN comma OMPN
B
cap A is equal to MOPN comma MPON comma OPMN comma POMN
C
cap A is equal to MOPN comma PMON
D
cap A is equal to MOPN comma MPON comma PMON comma POMN

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