Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 2?
Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.

Answer:

37

Step-by-step explanation:

37

Answer:

\(\frac{29}{10}\)

Step-by-step explanation:

There is sufficient evidence from the hypothesis test, with a p-value of 0.035 < 0.05, to say that men and women in the United States consume different amounts of calcium.

The evidence for the null and alternative hypotheses, which are two competing statements, are compared using a statistical test. Null hypothesis or population impact does not exist (H0). An alternate hypothesis, or population effect, exists (Ha or H1).

Here,

The proportion between men and women is examined at the null hypothesis as follows:

\(H_{0}\) : u1 - u2= 0

If the proportions are different under the alternative hypothesis, then:

\(H_{A}\) : u1 - u2 ≠ 0

There is adequate data to determine that men and women in the United States consume different percentages of the necessary calcium levels because the p-value is 0.035 0.05.

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Answer:

Step-by-step explanation:

Answer:

Enter the value of n so the expression (7y+6)+ (3y-2) is equivalent to (ny+4)

Step-by-step explanation:

Looking at the image, the radius (r) of the circle appears to cover half of the length of a side of the square. Hence, the side of the square has a length of 2r.

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\(Ratio=\frac{\pi r^{2} }{4r^2} =\frac{\pi}{4}\).

Notice that the value "r²" disappears from the expression because is being multiplied and divided by it at the same time.

\(Ratio=\frac{4\pi }{16} =0.7854.\)

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c. Complete the table.

To complete each cell of the table, simply take the equation of the asked parameter and substitute the value of r by the number indicated in the title of the column. For example, column 3 should be filled out like this:

Area of Circle (units²): π(3)²or 9π.

Length of 1 Side of the Square: 2r= 2(3)= 6.

Area of Square (units²)= 4r²= 4(3)²= 36.

Ratio: \(\frac{\pi}{4}\).

Do the same for all the other columns.

The answers to the table are presented on the attached image.

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d. What can you conclude about the relationship between the area of the circle and the square?

They will always have the same value, π/4, regardless of the size of the square and circle. As long as the circle borders meet the square's at the middle of each side of the square, the relationship will be the same.

Answer: Around 38.2°

Step-by-step explanation:

Substitute them into the formula for the law of sines:

\(\frac{sinA}{a} =\frac{sinB}{b} \\\\\frac{sinx}{15}=\frac{sin27}{11} \\\)

Cross-multiply:

\(11sinx=15sin27\)

Solve for x:

\(sinx=\frac{15sin27}{11} \\\\x=sin^{-1} (\frac{15sin27}{11})\\\\=38.2488\)

Answer:

6v+10

Step-by-step explanation:

hope this helped

can also write 6*v+10

Answer:

60.72

Step-by-step explanation:

you multiply 25.3 by 2.4

The statement correctly describes the perpendicular bisector construction below The construction of JK to bisect GH: Option D is the correct answer

The term perpendicular bisector refers to the line that divides another line into two equal parts, making an angle of 90 degrees. The term is made up of two words, perpendicular and bisector.

Perpendicular refers to angle 90 degrees, while the bisector refers to dividing into two equal parts.

In the picture, the main line is GH while JK is the line constructed to bisect the main line

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Answer:

A

Step-by-step explanation:

because

d-15=38

d-15+15=38+15

d=53

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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a) These are the four solutions to the equation z⁴ = 1. We can plot these solutions on an Argand diagram by marking points at (1, 0), (0, 1), (-1, 0), and (0, -1).

b) These are the three solutions to the equation z³ = 8. We can plot these solutions on an Argand diagram by marking points at (2, 0), (-1, √3), and (-1, -√3).

c) These are the three solutions to the equation z³ = i. We can plot these solutions on an Argand diagram by marking points at (1, 0), (-1/2, √3/2), and (-1/2, -√3/2).

a) To find all solutions to the equation z⁴ = 1, we can use De Moivre's theorem:

z⁴ = 1 = cos(0) + i sin(0)

We can rewrite this in polar form as:

z = cos(0/4 + 2kπ/4) + i sin(0/4 + 2kπ/4)

where k = 0, 1, 2, 3.

Simplifying the expression for z, we get:

z = cos(kπ/2) + i sin(kπ/2)

For k = 0, we get z = 1.

For k = 1, we get z = i.

For k = 2, we get z = -1.

For k = 3, we get z = -i.

These are the four solutions to the equation z⁴ = 1. We can plot these solutions on an Argand diagram by marking points at (1, 0), (0, 1), (-1, 0), and (0, -1).

b) To find all solutions to the equation z³ = 8, we can use De Moivre's theorem:

z³ = 8 = 8(cos(0) + i sin(0))

We can rewrite this in polar form as:

z = 2(cos(0/3 + 2kπ/3) + i sin(0/3 + 2kπ/3))

where k = 0, 1, 2.

Simplifying the expression for z, we get:

z = 2(cos(kπ/3) + i sin(kπ/3))

For k = 0, we get z = 2.

For k = 1, we get z = -1 + i√3.

For k = 2, we get z = -1 - i√3.

These are the three solutions to the equation z³ = 8. We can plot these solutions on an Argand diagram by marking points at (2, 0), (-1, √3), and (-1, -√3).

c) To find all solutions to the equation z³ = i, we can use De Moivre's theorem:

z³ = i = cos(π/2) + i sin(π/2)

We can rewrite this in polar form as:

z = (cos(π/6 + 2kπ/3) + i sin(π/6 + 2kπ/3))

where k = 0, 1, 2.

Simplifying the expression for z, we get:

z = cos(kπ/3) + i sin(kπ/3)

For k = 0, we get z = 1.

For k = 1, we get z = (-1 + i√3)/2.

For k = 2, we get z = (-1 - i√3)/2.

These are the three solutions to the equation z³ = i. We can plot these solutions on an Argand diagram by marking points at (1, 0), (-1/2, √3/2), and (-1/2, -√3/2).


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The probability that the same number will come up in exactly 2 occasions when a die is rolled 3 times is 1/36.    

To solve this problem, we need to use the concept of probability. The probability of an event happening is defined as the number of favorable outcomes divided by the total number of possible outcomes.

In this case, we are rolling a die 3 times and we want to find the probability that the same number comes up in exactly 2 of those rolls.

Let's consider the possible outcomes for each roll:  

There are 6 possible outcomes for the first roll (rolling any number from 1 to 6).

For the second roll, there are again 6 possible outcomes, but only 1 of those outcomes will give us the same number as the first roll.

For the third roll, there are again 6 possible outcomes, but only 1 of those outcomes will give us the same number as the first or second roll.

Therefore, there are a total of 6 x 1 x 1 = 6 favorable outcomes, where the same number comes up in exactly 2 of the 3 rolls.

Now let's calculate the total number of possible outcomes:

Therefore, there are a total of 6 x 6 x 6 = 216 possible outcomes.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = number of favorable outcomes / total number of possible outcomes

Probability = 6 / 216

Probability = 1 / 36

Therefore, the probability that the same number will come up in exactly 2 occasions when a die is rolled 3 times is 1/36.

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Answer:

Step-by-step explanation:

i am confused

Answer:

x = 3/2

Step-by-step explanation:

2^2x = 2^3

2x = 3

x = 3/2

Answer:

5

Step-by-step explanation:

\(\triangle HBK \cong \triangle NBK\) by SAS. Using CPCTC, \(3x=x+10 \implies 2x=10 \implies x=5\).

The value of f(5) is positive

At f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, the values of x are [-2, 1]

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

f(5) = 1

This means that f(5) is positive

Also, we have

When f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, we have the values of x to be

-2 ≤ x ≤ 1

When represented as an interval, we have

[-2, 1]

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Answer:

3x+6-6=248

3x=248

x=248/3

x=82.3

Step-by-step explanation:

please mark me as brainlest

Answer:

\(\huge\boxed{\sf x = 82.67}\)

Step-by-step explanation:

3x + 6 - 6 = 248

3x = 248

Divide 3 to both sides

x = 248/3

x = 82.67

\(\rule[225]{225}{2}\)

Answer:

I woulda said B too...

Step-by-step explanation:

Answer:

24 and 17

Step-by-step explanation:

Let the Greater number be x

3x = 72

x = 24

24-7 = other number (17)

Hence the numbers are 17 and 24

Hope this helps!

Answer:     17 and 24

Step-by-step explanation:

72 divided by 3 equals 24. which would also mean that 24 times 3 is 72. after you have the greater number (which is 24), all you have to do is subtract 7 which is 17.

Answer:

4.123 km

Step-by-step explanation:

a squared = c sqaured - b squared

a squared = 9 sqaured - 8 squared

a squared = 81 - 64

a squared = 17

a = root 17

a = 4.123 km

Answer:

4.1 it is rounded to the nearest tenth already

The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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Applying the tangent and the circle theorems, we have:

22. x ≈ 9.4;   23. Perimeter of triangle GHI = 168 units

24. m<NSR = 110°;    25. x = 10

22. Based on the tangent theorem, the triangle is a right triangle since the line is tangent to the radius of the circle. Therefore, based on the Pythagorean theorem, we have:

x = √[(7.4 + 4.6)² - 7.4²]

x ≈ 9.4

23. JH and HK are tangents, therefore they are equal. Thus:

7x + 4 = 13x - 20

7x - 13x = -4 - 20

-6x = -24

x = 4

Perimeter = GI + GJ + JH + HK + KI

GI = 52

HK = JH = 7x + 4 = 7(4) + 4 = 32

KI = 15

GJ = 52 - 15 = 37

Perimeter of triangle GHI = 52 + 37 + 32 + 32 + 15 = 168 units

24. Based on the angle of intersecting chords theorem, we have:

m<NSR = 1/2(170 + 50)

m<NSR = 110°

25. Based on the inscribed angle theorem, we have:

2(4x - 5) + 290 = 360

Solve for x:

8x - 10 + 290 = 360

8x = 360 - 280

8x = 80

x = 10

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Answer:

She needs to descend 20 feet per descent.

Step-by-step explanation:

100/5 = 20

a) The confidence level of 99% means that we are 99% sure that the interval contains the true population proportion.

b) The 99% confidence interval for the population proportion is given as follows: (0.3145, 0.4055). It means that we are 99% sure that the true population proportion is between 0.3145 and 0.4055.

c) The 95% confidence interval would be narrower, as it would have a lower critical value, thus the margin of error would also be lower.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(\pi = 0.36, n = 739\)

The lower bound of the interval is given as follows:

0.36 - 2.575 x sqrt(0.36 x 0.64/739) = 0.3145.

The upper bound of the interval is given as follows:

0.36 + 2.575 x sqrt(0.36 x 0.64/739) = 0.4055.

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The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.

Answer:

20

Step-by-step explanation:

by building a system of equation wiht the equation u create the x u gte si the answer and x=20

Answer:

A: 3+x/10+x - 8/10>(or equal to) 0

Step-by-step explanation:

Just answered it

Answer:

Answers to the next parts of the question:

D. 10(10+x)

B. \(\frac{x-25}{5(10+x)} \geq 0\)

Step-by-step explanation:

Hope this helps whoever needs it