Question

Thank you for yoiur help.

1. Emily in in math class.
2. Emily is in a math class.
3. Emily is in a math classroom.
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#1 mean that Emily is learning math from a math teacher. Am I right?
#2 and #3 are the same, aren't they?
#1 and #2 are not the same in meaning?

Answer 1

They all mean about the same.

However, if Emily is in a math classroom, she may be alone.

Answer 2

1. Which is a set of collinear points?

A. G, H. J
B. H, L, G
C. G, I, K
D. K, J, G

Answer 3

Use the diagram to identify a segment parallel to CF.

A. DG
B. AD
C. DC
D. AB

Answer 4

The measure of angle A is 73°. Classify the angle as acute, right, obtuse, or straight.

A. acute
B. straight
C. right
D. obtuse

Answer 5

Find the measures of the complement and the supplement of an angle with measure 50°.

A. complement, 130° supplement, 40°
B. complement, 40°; supplement, 130°
C. complement, 140°; supplement, 230°
D. complement, 30°: supplement, 140°

Answer 6

Name the angle that is supplementary to COD.

A. LCOA
B. LBOC
C. LCOB
D. LBOA

Answer 7

What’s the Value of e?

A. 32
B. 238
C. 58
D. 122

Answer 8

Classify the triangle with angles with measures 48°, 62°, and 70° as acute, right, or obtuse.

A. acute
B. Right
C. Obtuse

Answer 9

A baseball field has four bases that form the shape of a quadrilateral. If someone invented a new game similar to baseball that had two extra bases in the field, what type of polygon would the bases form?

A. Pentagon
B. hexagon
C. Octagon
D. decagon

Answer 10

Which is the most descriptive name for the shape below?

A. square
B. parallelogram
C. trapezoid
D. quadrilateral

Answer 11

A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again?

A. 120
B. 60
C. 90
D. 72

Answer 12

Select the word to make the statement true.
Similar polygons are___different shapes.

A. always
B. sometimes
C. never

Answer 13

How many lines of symmetry could an isosceles trapezoid have?

A. 0
B. 1
C. 2
D. 3

Answer 14

Which pair of transformations to the figure shown below would produce an image that is on top of the original (same position, shape, and size)?

A. a translation to the right and a reflection over the vertical line of reflection shown
B. a translation down and a reflection over the horizontal line of reflection showha
C. a 90° clockwise rotation and a reflection over the vertical line of reflection shown
D. a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown

Answer 15

Geoffrey draws a triangle. One of the angles measures 75° and one of the angles measures 40°.
What is the measure of the third angle?

A. 180
B. 115
C. 105
D. 65

Answer 16

Classify the triangle by its angles and its sides. Explain how you knew which classifications to use

Answer 17

The value of the dependent variable in a function is always_____ the independent variable

A. Greater than
B. Dependent on
C. Equal to
D. Less than

Answer 18

Which set of output values correctly completes the function table?

y = 2x - 4
Input (x) | Output (y)
6. ?
2. ?
-4. ?

A. 8, 2, -12
B. 8, 0, 12
C. 8, 0, -12
D. -8, 0 12

Answer 19

Identify the rule for the function table.

Input (X) Output (Y)
24 12
12 6
-12 -6

A. y= 12 - x
B. y= x - 12
C. y= x divided by 2
D. y= 2 divided by x

Answer 20

A science class planted a tree in the school courtyard that was 6 inches tall. It is growing 4 inches each week. Write a function rule for the height, h, of the tree based on the weeks, w, since it was planted.

A. h = 6w + 4
B. h = 4w + 6
C. h = 4w
D. h = 4w - 6

Answer 21

Which rule matches the function graphed below?

A. y = 2x
B. y = x + 4
C. y = 2x
D. y = x-4

Answer 22

Identify the independent variable in this relationship.
A person burns a total of c calories by walking m miles.

A. calories, c
B. miles, m
C.) neither c.
calories or m.
miles
D.both c, calories and m, miles

Answer 23

Identify the dependent variable in this relationship.
A person washes c cars and earns a total of d dollars

A. neither c, cars or d, dollars
B. cars, c
C. dollars, d
D. both c, cars and d, dollars

Answer 24

The cost of a student ticket to the school play is $7. Write an equation that correctly relates the
total cost, c, for a particular number, s, of student tickets purchased. Identify the independent and dependent variables.

Answer 25

D. K, J, G.

Answer 26

A. DG.

Answer 27

A. acute.

Answer 28

B. complement, 40°; supplement, 130°.

Complementary angle = 90 - 50 = 40°
Supplementary angle = 180 - 50 = 130°

Answer 29

D. LBOA.

Answer 30

Sorry, I cannot answer this question without any context or equation. Can you please provide more information or context to the question?

Answer 31

C. Obtuse.

Because one angle (70°) is greater than 90°, the triangle cannot be acute or right, leaving obtuse as the remaining option.

Answer 32

C. Octagon.

Adding two extra bases to a baseball field would result in an octagon, since there would then be eight bases forming the shape.

Answer 33

A. square.

Answer 34

B. 60.

Each fan blade is separated by 360°/5 = 72°. Since you want to align two identical fans, you need to rotate one fan so that a blade aligns with another. This would require rotating the fan one fifth of a full revolution to make the fans aligned again.

1/5 x 360° = 72°

However, since you can rotate the fan in either direction, you only need to rotate it half that amount to have the fans perfectly aligned, resulting in 72° ÷ 2 = 36°.

So, if two identical fans are lined up directly on top of each other, the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again is 36°.

Answer 35

C. never.

Answer 36

B. 1.

An isosceles trapezoid could have only one line of symmetry. This line of symmetry would pass horizontally through the center of the trapezoid.

Answer 37

D. a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown.

Answer 38

C. 105.

The sum of the angles in any triangle is always 180°.

Let x be the measure of the third angle.

So, we have:

75° + 40° + x = 180°

Simplifying the expression:

115° + x = 180°

Subtracting 115° from both sides:

x = 180° - 115° = 65°

Therefore, the measure of the third angle is 65°.

Answer 39

I cannot classify a specific triangle without any information about its angles and sides. However, here is a brief explanation of how to classify a triangle based on its angles and sides:

- Triangles can be classified by their angles as acute (all angles < 90°), obtuse (one angle > 90°), or right (one angle = 90°).
- Triangles can be classified by their sides as equilateral (all sides are equal), isosceles (two sides are equal), or scalene (no sides are equal).

To classify a triangle, you must measure its angles and sides to determine its properties. If all angles are less than 90°, it is acute. If one angle is greater than 90°, it is obtuse. If one angle is exactly 90°, it is right. To classify by its sides, you must measure the lengths of each side. If all three are equal, it is equilateral, if two are equal, it is isosceles, and if none are equal, it is scalene.

Answer 40

B. Dependent on.

The value of the dependent variable in a function depends on the value of the independent variable. It is not greater than, equal to, or less than the independent variable, but rather is "dependent on" or determined by the independent variable.

Answer 41

A. 8, 2, -12.

To complete the table, substitute each input value for x into the given equation and simplify to find the corresponding output value (y):

For x = 6, y = 2(6) - 4 = 8.
For x = 2, y = 2(2) - 4 = 0.
For x = -4, y = 2(-4) - 4 = -12.

So, the completed table is:

Input (x) | Output (y)
6 8
2 0
-4 -12

Therefore, the answer is option A (8, 2, -12).

Answer 42

C. y = x/2.

To find the rule for the function table, we can see that each output value (y) is half of the corresponding input value (x). So, we can write the rule as:

y = x/2

Checking the values in the function table:

For x = 24, y = 24/2 = 12
For x = 12, y = 12/2 = 6
For x = -12, y = -12/2 = -6

Therefore, the answer is option C.

Answer 43

B. h = 4w + 6.

The tree was planted at a height of 6 inches and is growing 4 inches each week, which means its height increases by a constant amount (4 inches) each week. So, we can write the linear equation:

h = 4w + 6

where w is the number of weeks since the tree was planted, and h is the height of the tree in inches.

For example, after 1 week, the tree would be:

h = 4(1) + 6 = 10 inches

After 2 weeks, the tree would be:

h = 4(2) + 6 = 14 inches

And so on.

Therefore, the answer is option B, h = 4w + 6.

Answer 44

B. y = x + 4.

The slope of the line in the graph is 1 (the line rises 1 unit for every 1 unit it runs), and it intersects the y-axis at 4 (the y-intercept is the point where the line crosses the y-axis, and in this case it's 4).

Therefore, we can write the linear equation in slope-intercept form:

y = mx + b

where m is the slope (which is 1), b is the y-intercept (which is 4), and x and y are the variables.

Substituting the values of m and b, we get:

y = x + 4

Checking the graph, we can see that this equation matches the line in the graph.

Therefore, the answer is option B, y = x + 4.

Answer 45

B. miles, m.

The independent variable is the variable that is being manipulated or controlled by the experimenter, and its value is not dependent on another variable. In this case, the person is walking a certain number of miles (m), and the total number of calories burned (c) depends on the distance walked. So, the independent variable is the distance walked (m).

Answer 46

C. dollars, d.

The dependent variable in a relationship is the variable that is being measured and whose value depends on the independent variable. In this case, the amount of money earned (d) depends on the number of cars washed (c), so the number of dollars earned (d) is the dependent variable in this relationship.

Answer 47

An equation that relates the total cost, c, to the number of student tickets purchased, s, is:

c = 7s

In this equation, the independent variable is the number of student tickets purchased, s, because it is being manipulated or controlled by the purchaser. The dependent variable is the total cost, c, because its value depends on the number of student tickets purchased.