Deck 10: Probability and Counting Techniques

Question 1

Answer 1

D

Question 2

Answer 2

D

Question 3

Answer 3

Rhombus

Question 4

What has to happen at vertices in order for polygons to tessellate?

Question 5

Question 6

Question 7

Question 8

What is the surface on which shapes are drawn in hyperbolic geometry?

Question 9

Question 10

Question 11

Question 12

Question 13

In elliptic geometry, the sum of the interior angles of a triangle is _______.

A) 180°
B) more than 180°
C) less than 180°

Question 14

Question 15

Question 16

In triangle ABC, angle C is a right angle. Find the measure of angle A if side b = 36 m and side c = 137 m. Round to the nearest degree.

Question 17

In elliptic geometry, how many lines can be drawn parallel to a given line through a point not on the given line?

Question 18

Question 19

What is the name of a polygon with 5 sides?

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

The screen of a computer monitor is measured by the length of the diagonal. If a screen is 19 inches long and 15 inches high, what is the measure of the diagonal? (Round your answer to the nearest hundredth.)

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Iteration and self-similarity are two defining characteristics of _____________.

Question 35

In triangle ABC, angle C is a right angle. Find the measure of angle B if side a = 158 cm and side b = 300 cm. Round to the nearest degree.

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

$\text { Find the value of } x \text {. }$

A) 43
B) 14.5
C) 37
D) 20.5

Question 42

Question 43

$\text { Classify the triangle according to sides and angles. }$

A) Scalene and obtuse
B) Isosceles and obtuse
C) Scalene and acute
D) Isosceles and acute

Question 44

Question 45

How many inches of molding will it take to frame a picture with dimensions 9 × 9 inches if there is to be a 1-inch mat around the picture?

Question 46

Question 47

Find the perimeter. Assume all angles are right angles and note that the figure is not draw to scale.

A) 48 ft
B) 34 ft
C) 42 ft
D) 58 ft

Question 48

In hyperbolic geometry, how many lines can be drawn parallel to a given line through a point not on the given line?

Question 49

Question 50

Question 51

$\text { Classify the triangle according to sides. }$

A) Scalene
B) Isosceles
C) Equilateral

Question 52

$\text { Identify the figure. }$

A) Segment
B) Line
C) Ray
D) Half line

Question 53

Question 54

Question 55

$$\text { Identify angles } 3 \text { and } 7 \text { as alternate interior, alternate exterior, corresponding, or vertical. }$$

A) Vertical
B) Alternate exterior
C) Corresponding
D) Alternate interior

Question 56

$$\text { Identify angles } 2 \text { and } 7 \text { as alternate interior, alternate exterior, corresponding, or vertical. }$$

A) Alternate exterior
B) Vertical
C) Alternate interior
D) Corresponding

Question 57

Find the perimeter.

A) 35 inches
B) 45 inches
C) 25 inches
D) 40 inches

Question 58

Question 59

Question 60

$$\text { Identify angles } 6 \text { and } 7 \text { as alternate interior, alternate exterior, corresponding, or vertical. }$$

A) Corresponding
B) Alternate interior
C) Vertical
D) Alternate exterior

Question 61

A chemical company needs to paint fifty chemical tanks including the top and the bottom of the tanks. Each tank has a height of 10 ft and a diameter of 6 ft. Paint can be purchased in 1-gallon cans or in 5-gallon cans that cost the same as 4 1-gallon cans. Each gallon of paint will cover 350 square feet. How many of each should be purchased to keep the cost of painting the tanks as low as possible? Use 3.14 for .

A) 8 5-gallon cans and 1 1-gallon can
B) 7 5-gallon cans and 0 1-gallon cans
C) 8 5-gallon cans and 0 1-gallon cans
D) 7 5-gallon cans and 1 1-gallon can

Question 62

Question 63

Question 64

Question 65

Question 66

$\text { Identify the figure. }$

A) Ray
B) Line
C) Half line
D) Open segment

Question 67

In triangle ABC, angle C is a right angle. Find the measure of angle B if side b = 141 m and side c = 204 m. Round to the nearest degree.

Question 68

A tent is shaped like a pyramid. It has a square base measuring 8 feet on a side and a height of 6 feet. What is the volume of the tent?

Question 69

Question 70

$$\text { Classify the triangle according to angles. }$$

A) Right
B) Acute
C) Obtuse

Question 71

Question 72

$$\text { Classify the triangle according to sides and angles. }$$

A) Equilateral and acute
B) Isosceles and obtuse
C) Scalene and acute
D) Scalene and obtuse

Question 73

$$\text { Identify the quadrilateral. }$$

A) Trapezoid
B) Rhombus
C) Parallelogram
D) Rectangle

Question 74

Question 75

In the triangle shown, side $y$ measures 36 meters and side $z$ measures 39 meters. Use the Pythagorean theorem to find the measure of side $x$ .

A) 17 meters
B) 10 meters
C) 14 meters
D) 15 meters

Question 76

Suppose you wish to place artificial turf on the floor of an indoor exercise facility that is in the shape of a trapezoid with bases measuring 25 feet and 42 feet and a vertical height from one base to the other of 12 feet. Find the cost of covering the floor if the artificial turf costs $6 per square foot.

A) $9648.00
B) $546.00
C) $2412.00
D) $4824.00

Question 77

$$\text { Use the Pythagorean theorem to find the measure of side } x \text {. }$$

A) 68 ft
B) 10 ft
C) 24 ft
D) 18 ft

Question 78

Question 79

$$\text { Find the circumference of the circle. Use } \pi = 3.14 \text {. }$$

A) 56.52 cm
B) 37.68 cm
C) 113.04 cm
D) 18.84 cm

Question 80