AnswersGeometry with StatisticsN/A

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Which construction requires both endpoints of the diameter and the points where the arcs intersect the circle to be connected, in order, by line segments?

A
an equilateral triangle inscribed in a circle
B
a similar circle inscribed in a circle
C
a regular hexagon inscribed in a circle
D
a square inscribed in a circle
23
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Which triangle has vertices open paren negative 3 comma negative 5 close paren , open paren 7 comma 4 close paren , open paren 0 comma 4 close paren ?

A
Image with description A coordinate plane has x- and y-axes ranges from negative 9 to 9 in increments of 1. A plane has a triangle with the one vertex is 5 units down from the negative x-axis and 3 units to the left of y-axis, the second vertex is 4 units up from the origin, and the third vertex is 4 units up from the positive x-axis and 7 units to the right of the positive y-axis.
B
Image with description A coordinate plane has x- and y-axes ranges from negative 9 to 9 in increments of 1. A plane has a triangle with the one vertex is 3 units down from the negative x-axis and 4 units to the left of y-axis, the second vertex is 5 units to the right of the origin, and the third vertex is 7 units up from the positive x-axis and 5 units to the right of the positive y-axis.
C
Image with description A coordinate plane has x- and y-axes ranges from negative 9 to 9 in increments of 1. A plane has a triangle with the one vertex is 3 units down from the negative x-axis and 5 units to the left of y-axis, the second vertex is 4 units to the right of the origin, and the third vertex is 7 units up from the positive x-axis and 4 units to the right of the positive y-axis.
D
Image with description A coordinate plane has x- and y-axes ranges from negative 9 to 9 in increments of 1. A plane has a triangle with the one vertex is 5 units down from the negative x-axis and 4 units to the left of y-axis, the second vertex is 4 units up from the origin, and the third vertex is 4 units up from the positive x-axis and 7 units to the right of the positive y-axis.
24

The volume of a cone is 3 pi x cubed cubic units and its height is x units. Which expression represents the radius of the cone’s base, in units?

A
3 x
B
6 x
C
3 pi x squared
D
9 pi x squared
25

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. What type of triangle is created by the three cities?

A
an obtuse triangle, because 22 squared plus 51 squared is greater than 54 squared
B
an acute triangle, because 22 squared plus 51 squared is greater than 54 squared
C
an acute triangle, because 22 squared plus 54 squared is greater than 51 squared
D
an obtuse triangle, because 22 squared plus 54 squared is greater than 51 squared
26

The endpoints of line segment AB are cap A times open paren 13 point 8 comma 7 close paren and cap b times open paren 6 point 4 comma 10 close paren Find the coordinates of the midpoint.

A
open paren 7 point 4 comma negative 3 close paren
B
open paren 10 point 4 comma 8 point 2 close paren
C
open paren 3 point 7 comma negative 1 point 5 close paren
D
open paren 10 point 1 comma 8 point 5 close paren
27

The sum of the measures of the interior angles of a polygon is 2880 degrees How many sides does the polygon have?

A
18
B
14
C
16
D
20
28

Which statements must be true about the two congruent, shaded figures? Choose two correct answers.

A
The figures are rectangles because they are formed inside a rectangle.
B
The figures are rhombi because they are formed by four congruent line segments.
C
The figures are trapezoids because each has exactly one pair of parallel sides.
D
The figures are parallelograms because their opposite sides are parallel.
E
The figures are quadrilaterals because each has four sides.
29

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

A
line segment RT is equal to line segment ST
B
3ST is equal to UT
C
angle cap r is congruent to angle cap v
D
angle cap v is congruent to angle cap u
30

What is the length of line segment LJ ?

A
12 units
B
15 units
C
18 units
D
9 units
31

Which expression represents the volume of the pyramid?

A
1 third n squared open paren n minus 1 close paren units cubed
B
1 third n open paren n minus 1 close paren squared units cubed
C
1 third n cubed open paren n minus 1 close paren units cubed
D
1 third n open paren n minus 1 close paren units cubed
32

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

A
4 ft
B
4 point 8 ft
C
7 point 2 ft
D
6 ft
33

Given right triangle XYZ , what is the value of tangent of open paren 60 degrees close paren ?

A
square root of 3
B
the fraction with numerator square root of 3 and denominator 2
C
2 over 1
D
1 half
34

What is AB ?

A
12 units
B
6 units
C
9 point 5 units
D
7 point 6 units
35

The diameter of the hemisphere is 50 feet. What is the volume of the viewing room of the planetarium? (Use 3 point 1 4 for pi Round the answer to the nearest tenth, if necessary. Recall that the formula for the volume of a sphere is cap v is equal to 4 thirds pi r cubed )

A
10 comma 416 point 7 cu. ft
B
32 comma 708 point 3 cu. ft
C
65 comma 416 point 7 cu. ft
D
16 comma 354 point 2 cu. ft
36

What is the surface area of the figure? Express the answer in terms of pi

A
96 plus 80 pi cm squared
B
96 plus 128 pi cm squared
C
96 plus 112 pi cm squared
D
96 plus 64 pi cm squared
37

What are the missing angle measures in triangle ABC ?

A
18.6 degrees and 71.4 degrees
B
35.5 degrees and 54.5 degrees
C
44.4 degrees and 45.6 degrees
D
1.4 degrees and 88.6 degrees
38

Which expression represents the volume of the prism?

A
10 x cubed cubic units
B
20 x cubed cubic units
C
30 x squared cubic units
D
15 x squared cubic units
39

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 translation
C
a dilation with a scale factor less than 1 and then a reflection
D
a dilation with a scale factor greater than 1 and then a reflection
40

Tia lives at the corner of 4 th Street and 8 th Avenue. Lei lives at the corner of 12 th Street and 20 th Avenue. The fruit market is 3 fourths the distance from Tia’s home to Lei's home. x is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 y is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren y sub 2 minus y sub 1 close paren plus y sub 1 Where is the fruit market?

A
10 th Street and 17 th Avenue
B
6 th Street and 11 th Avenue
C
8 th Street and 14 th Avenue
D
9 th Street and 15 th Avenue
41

What is m overarc AB ?

A
108 degrees
B
120 degrees
C
72 degrees
D
144 degrees

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