Stimulus: The student is presented with a polygon (square,
rectangle, parallelogram, or night triangle) on a grid and the scale
factor at which it was created.
Example Stem: This diagram of a rectangular city park was drawn
using a scale factor of 1 centimeter to 20 meters.
In the diagram shown, assume each square on the grid is 1
centimeter in length.
What is the area, in square meters, of the actual park on which this
scale drawing is based?

All rhombus are parallelograms, parallelogram have exactly two pairs of parallel lines, therefore all rhombus have exactly two pairs of parallel lines, so option A is correct.

A unique kind of quadrilateral created by parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but for it to be a parallelogram, its opposite sides must be parallel.

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. Every rhombus is a parallelogram because its opposite sides are all parallel. But all parallelograms cannot be rhombus as a rhombus have all sides equal.

Both a square and a rhombus have equal numbers of sides. The square's diagonals are also perpendicular to one another and divide the opposing angles. A square is a rhombus as a result.

Thus, all rhombus are parallelograms as they have one pair of parallel sides.

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Answer:D) the sum is a binomial with a degree of 6

Step-by-step explanation:

Answer: No, Nathan didn't measure angle correctly

Step-by-step explanation:

The sum of angles that are formed on a straight line is equal to 180°

So the value angle q is 80° because the sum of angle q and 100° is 180°

                                  ∠q= 180°-100°

                                    ∠q= 80°

No, Nathan didn't measure angle correctly.

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By observation or by inspection, 7.40 appears the most, thus mode.

The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.

Data can be disseminated in statistics in a number of different ways. The traditional normal (bell-curve) distribution is the one that is referenced the most. The midpoint of this distribution, as well as some others, coincides with the peak frequency of observed values and is where the mean (average) value is located.

The mean, median, and mode all have the same values for such a distribution. This indicates that this value—the one that appears the most frequently in the data—is the average value, the middle value, and the mode.

When analyzing categorical data, such as automobile models or soda taste varieties, where a mathematical average median value based on ordering cannot be computed, mode is most helpful as a gauge of central tendency.

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Answer:

x = 35° , y = 125°

Step-by-step explanation:

y and 55° lie on the straight line and sum to 180° , that is

y + 55° = 180° ( subtract 55° from both sides )

y = 55°

x and 55° form a right angle and sum to 90° , that is

x + 55° = 90° ( subtract 55° from both sides )

x = 35°

Step-by-step explanation:

let the larger number=n

then the smaller number=½n

We conclude from the question that

n+½n=75

3/2n=75

3n=150

n=150/3=50

Therefore the larger number=50 and the smaller number=½×50=25

A histogram is a graph that shows the frequency of numerical data using rectangles.

A set of quantitative data with varying values may be shown as a list or a data display.

Center and spread are ways to describe data sets like this.

Center describes a typical value of a data point. Two measures of center are mean and median.

Spread describes the variation of the data. Two measures of spread are range and standard deviation.

The mean is useful for describing the center of data with similar values.

The mean is the average value.

mean = sum of values / number of values

A histogram is a graph that shows the frequency of numerical data using rectangles.

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Answer:

x=36

y=144

Step-by-step explanation:

ABD=2x

z rule

BDE=2X

therefore 2x+3x=180

5x=180

x=36

solving for y

180-y+2x+2x=180

y=4x

y=4(36)

y=144

With 70% off the regular price, a dishwasher, regularly priced at $519.89, will be $155.97 only. The answer is C.

Discount is the deduction in the price of a good or service. When this reduced price is expressed in percentage then we call it a discount rate.

If the discount is given in percent, then the amount of discount can be found by using the formula:

Amount of Discount = Regular Price × Rate of Discount

If the regular price of a dishwasher is $519.89, and the discount rate is 70%, using the formula, solve for the discount value.

Amount of Discount = $519.89 x 70%

Amount of Discount = $519.89 × 0.70

Amount of Discount = $363.92

To get the final price of the dishwasher, subtract the discount value from the original or regular price.

price = $519.89 - $363.92

price = $155.97

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Answer:

-1

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (-1 - 4)/(2 - (-3)) = -5/(2 + 3) = -5/5 = -1

The surface area of a igloo with a 20 ft. diameter is [tex]628ft^{2}[/tex]

According to question statement, we are supposed to find the surface area of an igloo with a 20ft. diameter.

Before solving this question, we should be aware of the fact that an igloo is of a Hemispherical shaped object usually made up of ice.

So for finding out area of igloo we find the surface area of of the hemisphere.

Curved Surface area : [tex]2\pi r^{2}[/tex]

Total Surface area: [tex]3\pi r^{2}[/tex]

where r is the radius of igloo.

Radius is half of the diameter therefore [tex]r=\frac{diameter}{2}[/tex]

[tex]r=\frac{20ft}{2} \\r=10ft[/tex]

Therefore radius is 10 ft.

Curved Surface Area: [tex]2*3.14*10^{2} =628ft^{2}[/tex]

Total Surface Area: [tex]3*3.14*10^{2} =942ft^{2}[/tex]

But as we are supposed to find the surface area therefore the answer is [tex]628ft^{2}[/tex].

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The translation of the function 2 | x | - 9 when translated 6 units up gives the function as 2 | x | - 3.

We are given a function:

2 | x | - 9.

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

We are asked to translate the function 6 units up.

This means that we have to add 6 units to the function.

A function has been “translated” when it has been moved in a way that does not change its shape or rotate it in any way.

So, we get that:

f(x) = 2 | x | - 9 + 6

f(x) = 2 | x | - 3

Therefore, the translation of the function 2 | x | - 9 when translated 6 units up gives the function as 2 | x | - 3.

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Answer:

No they are not 'like' terms

Step-by-step explanation:

8x  and   2x    WOULD be 'like' terms

8x   and 2x^2    are not

8x and 2x^3    are not either

The volume of prism L is 750 cm³

A prism is a three-dimensional solid, that has two identical bases, rectangular or parallelogram-shaped faces, and the same cross-section.

The formula for the volume of a prism is V=Bh,

where B = base area and h = height.

We have,

Two similar prism

Prism L:

Length = 8 cm

Prism M:

Length = 20 cm

Volume = 1875 cm³

Applying the volume formula:

V = Bh

Base area = Length x width

1875 = Length x width x height

1875 = 20 x width x height

Width x height = 1875 / 20 = 93.75 _______(1)

Since prisms are similar we can use (1) in finding the Volume of prism L.

The volume of prism L:

= Length x width x height

= 8 x 93.75

= 750

Thus the volume of prism L is 750 cm³

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The complete question is:

L and M are two mathematically similar prisms.

Prism L has a length 8 cm.

Prism M has a length 20 cm.

Prism M has a volume of 1875 cm3

Work out the volume of prism L.

Since the 2 + 5 is in parenthesis, we do that first.

7(4) =

7 * 4 = 28

Hey there!

Assuming:

(2 + 5)(4) or (2 + 5)^4

Simplifying:

(2 + 5)(4)

= 7(4)

= 28

Simplifying:

(2 + 5)^4

= (7)^4

= 7^4

= 7 * 7 * 7 * 7

= 49 * 49

= 2,401

We’re going to assuming equation #1 in our assumption as your question.

That being said, your answer is most likely: 28

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

see below

Step-by-step explanation:

angle e is a vertical angle(each of the pairs of opposite angles made by two intersecting lines.) of 114 so e=114 and angle d is the vertical angle of 22 so d=22. and finally angles d+f+e=180

114+22+?=180

?=180-114-22

?=180-136

?=44

e=144

d=22

f=44

The only measure of center that can be found for both quantitative and qualitative data is the mode.

Therefore, the only measure of center that can be found for both quantitative and qualitative data is the mode.

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Answer:

1647

Step-by-step explanation:

Given the following information:

Length of traffic = 8 miles

Average Length of vehicles on the road :

Cars = 14.5 feets

Trucks = 21 feets

18 Wheeler tractor = 73 Feets

% distribution of the different vehicles :

Cars = 70% = 0.7

Trucks = 20% = 0.2

18 wheeler tractor = 10% = 0.1

Distance between vehicles = 4feets

Number of vehicles stuck in the traffic :

Let number of vehicles = v

Summation of (number of vehicles * length of each vehicle) + distance between each vehicle = Length of traffic

Total distance between each vehicle = 4(v-1)

(0.7v * 14.5) + (0.2v * 21) + (0.1v * 73) + 4(v - 1) = 8 miles

1 mile = 5280

8 miles = (5280 * 8) = 42,240

10.15v + 4.2v + 7.3v + 4v - 4 = 42240

25.65v = 42240 + 4

25.65v = 42244

v =42244 / 25.65

v = 1646.939

v = 1647.

Answer: 14

Step-by-step explanation:

Answer:

12 oak trees

Step-by-step explanation:

1/4 of 48 =12

Answer: GEF = 30 DEF = 40

Step-by-step explanation: By angle summation we know the entire angle

GED = 70, so the smaller angles that make up GED (GEF and DEF) will have to sum up to equal GED. Using this we get:

2x + 10 + 5x - 10 = 70

From here we can combine like terms:

7x = 70

and solve for x

x = 10

Then we can plug the value of x back into the equations given to solve for GEF and DEF

GEF:

2x+10 == 2(10)+10 = 30

DEF:

5x-10 == 5(10)-10 = 40

Answer: they have the same absolute value

Step-by-step explanation: -6 and positie 6 are both 6 units from zero

The general solution for the given equation is 40°+120°n.

The period of g(x) is π.

The range of f(x) is [-1, 1].

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Answer:

177

Step-by-step explanation:

An integer is a negative or positive whole number. any number greater or equal to 5 you round up the the nearest whole number

Hope this helps.

"decimals are not included in the set of integers." with this information you can infer that you need to round to the nearest whole number, therefore 176.912 would be round to 177 because the decimal in the tenth place is 5 or above (9) so you round UP.

Answer: The answer will be D

Step-by-step explanation: I think the answer will be C because you can multiply this as I did to get the answer so its C

Explain what is meant by confounding. what is a lurking variable? what is a confounding variable?

Answer:

A Confounding is the variable that is considered in a research study, and could overall influence the relations between the variables in the study. For example, students wanting to join AP English next semester were told to write a six page essay. When the students turned in their papers and teachers say the difference and grades they believed that the variable was the time that the students handed in the paper. They thought that if the student handed in their paper later than another student that they would receive a lower score, but this was not the case. When asking the students how they prepared for the paper, students replied with different answers. Those who outlined and used other literature for reference scored much higher than those who only used prior knowledge to write their essays. In this study, the lurking variable would be the presence of an outline.

Lurking variable: A variable that is not considered in a research study that could influence the relations between the variables in the study

Confounding variable: A variable that is considered in a research study that could influence the relations between the variables in the study

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Answer: u = 80° v = 25°

Step-by-step explanation:

(a) angles on a straight line = 180° - 130° = 50°

In isosceles triangle, both angles on each side is equal, so

180° - 50° - 50° = 80°

u = 80°

(b) u = (2v + 30°) because opposite angles of a parallelogram are equal.

u = 80°

80° = 2v + 30°

80 - 30 = 50

50° = 2v

25° = v