Quadrilateral ABCD is similar to quadrilateral WXYZ.

Step-by-step explanation:

4x+4=6x-3

4=2x-3

7=2x

x=3,5

3x+2=17x-4

2=14x-4

6=14x

x=3/7

6m+1=-3m+11

9m+1=11

9m= 10

m=10/9

Step-by-step explanation:

2x = x + 30

due to the fact that x is the number added to 30 and the second number is twice as much as x

if this helped pls give brainliest

Answer:

C

Step-by-step explanation:

In graph theory, a vertex cover of a graph is a set of vertices that covers all the edges in the graph. On the other hand, an independent set is a set of vertices that have no edges connecting them.

In this context, it is important to note that a vertex cover and an independent set are mutually exclusive.

That is, a vertex cannot belong to both the vertex cover and the independent set simultaneously.

In many cases, the determination of the minimum size of a vertex cover is one of the fundamental problems in graph theory.

Similarly, the determination of the maximum size of an independent set in a graph is also a significant problem in graph theory. The problems are typically addressed using various algorithms and heuristics.

However, in some cases, it is possible to establish the relationship between the vertex cover and the independent set in a graph. For instance, if a graph is a bipartite graph, then the vertex cover and the independent set are the same size.

This result is known as König's theorem and is one of the most important results in graph theory. In conclusion, the fact that each vertex belongs to the vertex cover or the independent set is not a coincidence.

It is a fundamental property of graphs that has significant implications for various problems in graph theory.

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Answer:

1/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that he pulls out a red marble = number of red marbles / total number of marbles

= 4/20 = 1/5

Answer:

Length = 2w + 7

Step-by-step explanation:

Length = 2w + 7

Twice the width = 2w (assuming w=width)

7 more = add 7

The shape of the probability distribution for the random walk problem depends on the values of p and q. When p = q, the distribution is symmetric, while if p and q have different values, the distribution becomes asymmetric.

The shape of the probability distribution for the problem of the random walk can be determined by considering the values of p and q, where p represents the probability of moving in one direction and q represents the probability of moving in the opposite direction.
(a) In this case, we are given that p = q = 1/2, which means that there is an equal probability of moving in either direction.
When p = q = 1/2, the probability distribution for the random walk problem will have a symmetric shape. This means that the probabilities of moving to the left and the right are the same. For example, if we start at position 0 and take 20 steps, the probability of ending up at position +10 will be the same as the probability of ending up at position -10.
It is important to note that the specific values of p and q do not affect the shape of the distribution. As long as p = q, the distribution will be symmetric.

(b) Now, let's consider a different scenario where p = 0.6 and q = 0.4. In this case, the probability of moving in one direction is greater than the probability of moving in the opposite direction. This will result in an asymmetric probability distribution.
For example, if we start at position 0 and take 20 steps, the probability of ending up in a positive position will be higher than the probability of ending up in a negative position. The distribution will be skewed towards the positive position.

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Answer:

Step-by-step explanation:

i don't see a statement but use 7 i guess

To find the percent tax, we can calculate the difference between the cost after-tax and the original price, and then express it as a percentage of the original price.

Let's denote the tax rate as "r." We know that the original price of the shirt is $50 and the cost after-tax is $52.

The tax amount can be found by subtracting the original price from the cost after-tax:

Tax amount = Cost after-tax - Original price

Tax amount = $52 - $50

Tax amount = $2

Now, we can express the tax amount as a percentage of the original price:

Percent tax = (Tax amount / Original price) * 100

Percent tax = ($2 / $50) * 100

Percent tax = 4%

Therefore, the percent tax is 4%. This means that the tax on the shirt represents 4% of the original price of $50.

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The arc length is D) 3.14 meters.

What is arc length?

In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.

It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.

The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.

                                      \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

Here the give circle Radius PR = 3m and θ=60°.

Now using arc length formula then,

=> Arc length \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

=> \(A_L=\frac{60}{360} \times2\times3.14\times3\)

=> \(A_L=\frac{1}{6}\times2\times3.14\times3\)

=> \(A_L\) = 3.14 m.

Hence the arc length is D) 3.14 meters.

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The standard deviation of the given discrete distribution, considering it's formula, is of 1.195.

Researching this problem on the internet, the distribution is given by:

Hence the mean is given by:

E(X) = 0.56(1) + 0.23(2) + 0.11(3) + 0.05(4) + 0.03(5) + 0.02(6) = 1.82.

The standard deviation is:

\(\sqrt{V(X)} = \sqrt{0.56(1-1.82)^2+0.23(2-1.82)^2+0.11(3-1.82)^2 + \cdots + 0.02(6-1.82)^2} = 1.195\).

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If the angles are complimentary, the value of d is 10. So the answer is (c) d = 10.

By using this information to set up an equation:

24 + (7d - 4) = 90

Simplifying the equation, we get:

7d + 20 = 90

Subtracting 20 from both sides, we get:

7d = 70

Dividing both sides by 7, we get:

d = 10

Complementary angles are two angles whose sum is 90 degrees. In other words, if the measure of one angle is x degrees, then the measure of its complement is (90 - x) degrees.Complementary angles are two angles whose sum is 90 degrees. In other words, if the measure of one angle is x degrees, then the measure of its complement is (90 - x) degrees.

Complementary angles are important in geometry and trigonometry.

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Answer:

the left model should have 4 segments shaded the right model should have 9 segments shaded

Step-by-step explanation:

i did the quiz

Answer:

A. 4

B. 9

C. <

Step-by-step explanation:

Answer:

Slope = 5/3

Step-by-step explanation:

See attached image

The chance that only one of three randomly chosen business majors majors in finance is 38.4%.

Let the probability that a randomly chosen business major majors in finance be P(F) and the probability that a randomly chosen business major does not major in finance be P(F').Thus, we can say that P(F) = 0.20 and P(F') = 0.80.

Now we can apply the formula for the probability of exactly one success in n independent trials, where P(success) = p and P(failure) = 1 - p as follows:P(exactly one success) = nC1 * p * (1 - p)^(n-1)Where nC1 is the number of ways to choose one success in n trials.

Therefore, the probability that only one of three randomly chosen business majors majors in finance is:P(only one of three randomly chosen business majors majors in finance) = 3C1 * 0.20 * (1 - 0.20)^(3-1)= 3 * 0.20 * 0.64= 0.384 or 38.4%.Therefore, the chance that only one of three randomly chosen business majors majors in finance is 38.4%.

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Answer:

34

Step-by-step explanation:

32 / 8 = 4
36 / 4 = 9

perimeter of rectangle = 2(Length) + 2(width)
P = 2(8) + 2(9)
P = 16 + 18
P = 34

In fun run, after t seconds, Pamela is already (5s+ 3) meters away from the starting point and Zander is 4s meters away from the starting point. Zander will be s+3 m left of pamela.

After t seconds, Pamela is (5s + 3) meters away from the starting point and Zander is 4s meters away from the starting point. To find out how far ahead of Zander Pamela is, we can subtract Zander's distance from Pamela's distance:

(5s + 3) - 4s = s + 3

So, after t seconds, Pamela is s + 3 meters ahead of Zander. The value of s represents the difference in their speeds, with s being positive if Pamela is faster and negative if Zander is faster. If s is positive, then Pamela is ahead of Zander and the difference between their distances increases over time. If s is negative, then Zander is ahead of Pamela and the difference between their distances decreases over time.

In summary, the difference between Pamela's and Zander's distances after t seconds is given by s + 3, where s represents the difference in their speeds. The sign of s determines whether Pamela is ahead or behind Zander and the magnitude of s determines the size of the lead or deficit.

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The mathematical model that best fits the given data is option : y = 82.3 - 8.275x.

To construct a scatterplot and determine the mathematical model that best fits the given data, we will plot the points and analyze the trend.

Given Data:

x: 4, 8, 12, 16, 20

y: 40, 20, -11, -37, -97

Let's plot these points on a scatterplot:

(x, y) points:

(4, 40)

(8, 20)

(12, -11)

(16, -37)

(20, -97)

After plotting the points, we can analyze the trend in the data.

By observing the scatterplot, it is clear that a linear or quadratic model would not fit the data well since the points do not follow a straight line or a parabolic curve.

Next, we can try the logarithmic, exponential, and power models to see if any of them fit the data better.

Using a calculator or computer to perform the regression analysis, we find that the regression equation with the highest R² value is:

y = 82.3 - 8.275x

This equation corresponds to option : y = 82.3 - 8.275x

The regression equation represents a linear model that best fits the given data. The R² value indicates how well the model explains the variability in the data, and in this case, the linear model provides the highest R² value compared to the other models.

It's important to note that the specific values of the coefficients in the regression equation may vary slightly depending on the calculator or software used for the analysis. However, the overall best-fit model remains the same.

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Answer:

Step-by-step explanation:

Sorry but there's know question.

Answer:

3.5 Inches

Step-by-step explanation:

the height of the triangle formed by the diagonal and base of the TV screen.

The height of the TV is approximately 15.6 inches.

(26 inches / √2) = 18.8 inches

(18.8 inches * √2) = 26 inches

Height = (26 inches / 18.8 inches) * 18.8 inches

Height = 15.6 inches

Step 1: Calculate the hypotenuse of the triangle formed by the diagonal and base of the TV screen.

Hypotenuse = diagonal / √2

Hypotenuse = 26 inches / √2

Hypotenuse = 18.8 inches

Step 2: Calculate the diagonal of the triangle formed by the hypotenuse and base of the TV screen.

Diagonal = hypotenuse * √2

Diagonal = 18.8 inches * √2

Diagonal = 26 inches

Step 3: Calculate the height of the triangle formed by the diagonal and base of the TV screen.

Height = diagonal / base

Height = 26 inches / 18.8 inches

Height = 15.6 inches

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The value of a and b are 1 and -8 respectively.

Quadratic expressions are polynomial expressions of second degree.

The general form of a quadratic expression is ax² + b x + c.

The given quadratic expression is x² + 2x - 7.

We have to write this in the form (x + a)² + b.

We have the algebraic identity a² + 2ab + b² = (a + b)²

x² + 2x - 7 = x² + 2x - 7 + 1 - 1

                 = (x² + 2x + 1) - 7 - 1

                 = (x + 1)² - 8, which is in the form (x + a)² + b.

a = 1 and b = -8

Hence the value of a is 1 and the value of b is -8.

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Answer:

$1097.46

Step-by-step explanation:

Assume P is the finall price.  The markup of 26% can be written in decimal form as 0.26.  This is in additon to the full price paid for the gold ring, so we can add 1.00 to 0.26 to arrive at the factor 1.26.  Multiply 1.26 times the store cost of $871 to find the amount after 26% markup:

 ($871)*(1.26) = $1097.46

In order to build a cutlery holder with a slope of 0.7, Sam needs to determine the height of each vertical column, labeled 'a', 'b', 'c', 'd', and 'e'.  Sam will be able to create a cutlery holder with a slope of 0.7.

To calculate the height of each vertical column, Sam needs to understand the concept of slope. Slope is the ratio of the vertical change (rise) to the horizontal change (run). In this case, the slope is given as 0.7.

Let's assume that the horizontal distance between each column is equal. We can assign a standard value of 1 unit for the horizontal run between columns.

To find the vertical rise for each column, we can multiply the horizontal run by the slope. Therefore, the height of column 'a' would be 0.7 units, column 'b' would be 1.4 units (0.7 * 2), column 'c' would be 2.1 units (0.7 * 3), column 'd' would be 2.8 units (0.7 * 4), and column 'e' would be 3.5 units (0.7 * 5).

By assigning these respective heights to each vertical column, Sam will be able to create a cutlery holder with a slope of 0.7.

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Answer:

52÷4=13 cm

the area: 13×13=169\(cm^{2}\)

Step-by-step explanation:

The solutions are the points that belong to the line, these are:

(-6, -4)

(-2, 2)

(-1, 0)

(2, 6)

Here we can see that we have the graph of a linear equation. The given points would be solutions if the points lie on the graphed line.

Remember that for a point (x, y), x is the value you need to look in the horizontal axis and y is the value that you need to look on the vertical axis.

Then, from the given points the ones that are on the graphed line are:

(-6, -4)

(-2, 2)

(-1, 0)

(2, 6)

All these points are on the line, thus, are solutions.

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When 5/9 of the tank is filled in 2 minutes, then it will take 3.6 minutes to fill the entire tank.

The definition of a fraction is a fraction multiplied by another fraction, integer, or a group of variables. Given that the 5/9 tank fills in 2 minutes. The duration of this period in seconds is 60×5= 120 seconds.

So the time taken to fill a 1/9 tank is calculated as follows,

Time taken = 120/5

=24 seconds

The time taken to fill the 9/9 tank (full) is calculated by multiplying 24 seconds and 9, we get,

24×9 = 216 seconds

= 3.6 minutes.

Therefore, the required answer is 3.6 minutes.

The complete question is -

If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

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Answer:

9)

a. A = 90*, B = 60*, and C = 30* is correct

Step-by-step explanation:

Ok so first lets look at A.

A is a right angle so it is 90 degrees.

B and C are acute angles (less than 90 degrees)

B looks like 60*

and C around 30*

Answer:

1)open 2)false 3)5

Step-by-step explanation:

Answer:

False

Open

5

Am I right??!