Flashcards in Test 9, Units 6 - 8 (8.1 - 8.13) Deck (34):

1

## complementary angles contain 180 degrees

### false - complementary angles contain 90 degrees

2

## a right angle contains 90 degrees

### true

3

## mathematical probability is expressed as a ratio

### true

4

## 2 angles with a common ray between them are adjacent angles

### true

5

## the opposite sides of a rectangle are parallel

### true

6

## perpendicular lines form right angles

### true

7

## a compass is used to measure the number of degrees in an angle

### false - a compass is used to draw circles

8

## angles are formed by 2 rays

### true

9

## similar triangles have the same size and shape

### false -

10

## a divided bar graph is another name for a histogram

### false

11

##
scale 2 in. = 50 mi.

4 in. =

###
2 4 cross multiply 2x = 200

--- = --- x = 100

50 x

12

##
scale 2 in. = 50 mi.

10 in. =

###
2 10 cross multiply 2x = 500

--- = -- x = 250

50 x

13

##
scale 2 in. = 50 mi.

9.2 in. =

###
2 9.2 cross multiply 2x = 460

--- = -- x = 230

50 x

14

##
scale 2 in. = 50 mi.

1 1/2 in. =

###
2 1.5 cross multiply 2x = 75

--- = -- x = 37.5

50 x

15

##
scale 2 in. = 50 mi.

15 1/2 in. =

###
2 15.5 cross multiply 2x = 775

--- = -- x = 387.5

50 x

16

## find the gross pay for 39 hours at $8.17 per hour.

### 8.17 x 39 = $318.63

17

## find the cost of twelve $1,000 bonds at a quotation of 84.50.

###
$1,000 x .845 = $845

$845 x 12 = $10,140

18

## find the simple interest on $500 at 6% for 1 year.

###
i = prt

i = $500 x .06 x 1

i = $30

19

## find the life insurance premium on $20,000 at $28.14 per $1,000.

###
divide the 20,000 by 1,000 giving you 20.

$28.14 x 20 = $562.80

20

## find the fire insurance premium on a $75,000 house at a rate of $.96 per $100.

###
divide the 75,000 by 100 giving you 750.

750 x .96 = $720

21

## find the mean of 13, 25, 16, 52, 9.

### add 13, 25, 16, 52, 9 to get 115. divide 115 by 5 = 23

22

## find the length of the radius in a circle if the diameter is 10 ft.

### the radius is 1/2 the diameter, so the radius is 5 ft.

23

## find the median of 14, 12, 9, 7, 12, 11, 6, 7.

###
6, 7, 7, 9, 11, 12, 12, 14

9 & 11 are the middle numbers, so add them & divide by 2. 9 + 11 = 20 20/2 = 10

24

## find the mode of 93, 87, 90, 74, 77, 95, 88, 81, 90

### 90 is the only one that appears more than once.

25

## write the probability that the numbers 263 will be the first three digits of a code number.

### the first three digits can each be 0,1,2,3,4,5,6,7,8,or9, a total of 10 numbers. so 1 out of 10 chance that 2 will be the 1st. 1 out of 10 chance that 6 will be the 2nd, and 1 out of 10 chance that 3 will be the 3rd. the total chance would be 1/10 x 1/10 x 1/10 = 1/1000

26

## find the mean of 58, 43, 33, 69, 41, 74

###
add them & divide by 6

mean = 53

27

## draw and label a line perpendicular to the given line segment

### you will draw a line in the middle of the line segment that forms a 90 degree angle on each side.

28

## construct a circle with a radius of 3/4 inch.

### use your compass to draw a circle with this radius.

29

## bisect angle ABC using a compass.

### you will draw a line in the middle of an angle making two equal angles

30

## two angles are supplementary. The first angle has 20 degrees more than the second angle. How many degrees are in each angle?

###
x + x + 20 = 180

2x + 20 - 20 = 180 - 20

2x = 160

x = 80

x + 20 = 100

The two angles are 80 degrees & 100 degrees. Supplementary angles add to make 180 degrees.

31

## Cara bought a motorcycle that cost $1,250. She paid $250 down and the remainder in 18 monthly payments of $60 each. How much interest did she pay?

###
18 x 60 = 1,080 in payments

1080 + 250 = 1330 payments plus the down payment

1330 - 1250 = 80 total paid minus the cost of bike

$80 in interest.

32

## Cara makes $9.19 per hour. find her social security tax at the rate of 7.65% for a 40 hour work week.

###
9.19 x 40 = 367.60

367.60 x .0765 = 28.1214 round to $28.12

33

## Cara bought 200 shares of stock at a quotation of 24.5. The brokerage fee was $139. What was the total cost?

###
24.5 x 200 = 4900

4900 + 139 = $5,039

34