A regular polygon has its interior angles all equal to 171 Find the number of sides of the polygon.​

Therefore, as per the solution from the linear equation in one variable, the line segment PR is 9 units.

A linear equation in one variable is one that is written in the form ax + b = 0, where a, and b are real numbers and the coefficients of x and constant, i.e. a and b, are not equal to zero.

Given :

PR is a line.

Q is the midpoint of PR. So PQ = PR.

QR = x + 9

PR = 3x + 9

According to the question, verification is

PQ = PR

X + 9 = 3x + 9

3x – x = 9 - 9

2x = 0

x = 0

Therefore, as PQ = PR

x + 9 = 3x + 9

0 + 9 = 0(3) + 9

     9 = 9

  PR = 3(0) + 9

  PR = 0 +  9

  PR = 9

Therefore, as per the solution from the linear equation in one variable, The line segment PR is 9 units.

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Therefore, as per the solution from the linear equation in one variable, the line segment PR is 9 units.

A linear equation in one variable is one that is written in the form ax + b = 0, where a, and b are real numbers and the coefficients of x and constant, i.e. a and b, are not equal to zero.

Given :

PR is a line.

Q is the midpoint of PR. So PQ = PR.

QR = x + 9

PR = 3x + 9

According to the question, verification is

PQ = PR

X + 9 = 3x + 9

3x – x = 9 - 9

2x = 0

x = 0

Therefore, as PQ = PR

x + 9 = 3x + 9

0 + 9 = 0(3) + 9

    9 = 9

 PR = 3(0) + 9

 PR = 0 +  9

 PR = 9

Therefore, as per the solution from the linear equation in one variable, The line segment PR is 9 units.

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The difference between the total number of white tiles and the total number of black tiles in the new figure is 11.

Thirteen black and six white hexagonal tiles. If a new figure is created by attaching a border of white tiles with the same size and shape as the others

To find  the difference between the total number of white tiles and the total number of black tiles in the new figure.

Now, According to the question:

The solution will be:

The first ring around the middle tile has 6 tiles, and the second has 12. From this pattern, the third ring has 18 tiles. Of these, 6+18=24 are white and 1+12=13 are black, with a difference of 24-13 = 11.

Hence, the difference between the total number of white tiles and the total number of black tiles in the new figure is 11.

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Quadratic equation is a type of equation which has the highest power of 2. The product of the given terms is option B.  [tex]2x^{3}[/tex] - [tex]11x^{2}[/tex] + 43x + 24

An equation is said to be quadratic if and only if the highest power of the variable in its terms is 2. Thus they can be solved either by completing the square method, graphical method, the use of the quadratic formula etc.

The product of an algebraic term and a quadratic equation involves a stepwise procedure, such that all terms and exponential are considered.

The given question state thus:

what is the product of x - 8 and [tex]2x^{2} -5x-3[/tex]?

Thus using the expansion method, we have:

(x + 8)( [tex]2x^{2} -5x-3[/tex]) = [tex]2x^{3}[/tex] - [tex]5x^{2}[/tex] - 3x + [tex]16x^{2}[/tex] - 40x - 24

                                  =  [tex]2x^{3}[/tex] - [tex]11x^{2}[/tex] + 43x + 24

Thus the product of the given question is option B.   [tex]2x^{3}[/tex] - [tex]11x^{2}[/tex] + 43x + 24

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The expression [tex]$\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}}$[/tex] represents [tex]$\sqrt[6]{3}$[/tex]as rational exponents as a radical expression.

What is an expression?

"An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation in it."

The given expression is:

[tex]$$\begin{aligned}& \frac{3^{\frac{1}{1}}}{3^{\frac{1}{6}}} \\& =3^{\frac{1}{3}-\frac{1}{6}} \\& =3^{\frac{1}{6}} \\& =\sqrt[6]{3}\end{aligned}$$[/tex]

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Answer:

Step-by-step explanation:

The rate of change is the slope of the line formed by connecting the two data points:

1.  (2010,1510). and   [enrollment for a school in 2010 was 1510 students]

2.  (2020, 860)         [In 2020, the enrollment was 860 students]

Slope is the Rise/Run of the line.  Lets go from the first point to the second.

The Rise:  (1510 - 860) = 650

The Run:   (2020-2010) = 10

The slope, or rate of change, is = 65

The interpretation is that "The enrollment at the school increase by an average of 65 students every year since 2010 until 2020."

The answer to this Question based on Linear pair is 180 degree

What is Linear Pair?

A linear pair is a pair of adjacent angles that are supplementary, meaning they add up to equal 180 degrees. Linear pairs can be found in many shapes and geometric shapes, such as squares, rectangles, and parallelograms. Linear pairs can also be found in the angles of intersecting lines. When two lines intersect, four angles are formed, and two of them will always form a linear pair. Linear pairs can also be found in circles, as the angles formed by two chords that intersect with each other will always form a linear pair.

Suppose any triangle we are given 6 angles in which 3 are interior and 3 are exterior

suppose we take any pair of interior and exterior and we can see that it will always form a linear pair and its sum will be equal to 180 degree

Here in this question sum of angle 1 and 2

sum of angle 5 and 6

sum of angle 3 and 4

all will be same and will be equal to 180 degree by Linear Pair

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Answer:

a,b,c

Step-by-step explanation:

a) m∠3 + m∠4 = 180°

b) m∠2 + m∠4 + m∠6 = 180°

c) m∠2 + m∠4 = m∠5

these are the correct answers  for edge 2023 geometry assignment; Triangle Angle Theorems

hope this helps!

Answer:

X=8, y=19

Step-by-step explanation:

These two triangles are congruent. This means that angle STR = angle MNL, so angle STR = 63°. We know the angles in a triangle must sum to 180°, so we can figure out 3x from this, given that we know the other two angles. 63 + 93 = 156, so 3x = 180-156=24. This gives us that x = 8. Now we can solve for x, because we know that SR = ML, so 3x + y = 43. We know x = 8, so we get that 24 + y = 43, or y = 19.

I hope this helps!

Answer: $322

Step-by-step explanation:

1400x0.23 = $322

Answer:

Step-by-step explanation:

Well, the x increases by 5

And the Y increases by 2

So the slope is 5/2

And the equation would be 5/2x + b

Answer:

3+3+3+3+3+3+3+3+3=27

Step-by-step explanation:

just add it together.

The x-intercept of the linear equation is (7, 0).

Here we have the following linear equation:

y = x - 7

We want to find the x-intercept, this is the point where the line intercepts the x-axis, it will happen when we take the value of y = 0, then we need to solve.

0 = x - 7

Solving that, we get:

7 = x

Then we conclude that the x-intercept of the linear equation is (7, 0).

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The Answer is

D) x=3 and x=-4

Answer: it D

x=3 and x=-4

Equivalent expressions are expressions that have the same result.

The expression in this problem is defined as follows:

13 + 4g.

The commutative property is applied in this problem, meaning that the order of the terms is exchanged, hence the equivalent expression is given as follows:

4g + 13.

The numeric values of the expression are given as follows:

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The graph of the proportional relationship that models Angie's earnings is given as follows:

Graph B.

A proportional relationship is defined as follows:

y = kx.

Meaning that it is a special case of a linear function, with intercept of zero, meaning that it always passes through the origin.

Angie charges a flat rate for each ride, hence her total earnings are modeled by a proportional relationship.

From the graphs given by the image at the end of the answer, the only one that passes through the origin is graph B, hence graph B could represent her earnings.

The graphs are given by the image shown at the end of the answer.

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Answer:

x=5

Step-by-step explanation:

step one: distribute to get rid of parentheses. this means multiplying -3 by the numbers inside of the parentheses next to it.

-3(-6)= 18 and -3(-4x)=12x

this makes the equation now 8x+38=18+12x

step two: move x to one side of the equation. we can do this by using inverse operations, so we're going to subtract 8x from both sides.

8x-8x=0, 12x-8x= 4x.

this makes the equation now 38=18+4x

step three: isolate x. this means getting rid of the 18. to do this, we are going to use inverse operations again. this means subtracting 18 from both sides.

18-18=0, 38-18=20.

this makes the equation now 20=4x

step four: divide to get x by itself. we don't want to know what 4x is, we just want to know what plain x is. so we're going to use inverse operations for the last time and divide both sides by 4 because 4x is the same thing as saying "four times x"

20/4= 5, 4x/4=x

this makes the equation now 5=x

that's your answer, x=5. hope this helped!

the value for x = 2

the explanation is above

i hope i helped

Matt should take dependent variable is the number of units assembled; the independent variable is the number of hours to make it correct.

A variable is any qualities, number, or amount that can be estimated or counted. A variable may likewise be known as an information thing. Age, sex, business pay and costs, nation of birth, capital use, class grades, eye tone and vehicle type are instances of factors.

Considering that a machine in a plant can collect 234 units in 3 hours. Free factor is the no of units gathered and subordinate variable is the time taken.

Let y be number of hours and x be  number of units assembled;

So, we can write

y = mx

Slope = y/x = 3/234 = 1/78

constant of proportionality is 78 is inverse, so To make correct we have to take dependent variable is the number of units assembled; the independent variable is the number of hours.

correct equation is, x = 78y

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Answer:

C 64

Step-by-step explanation:

1. 2(2)(4)(8(2)-3(4))

2.2(8)(16-12)

3. 16(4)

4. 64

The distance covered in each month = 194.89 miles

The unitary method entails figuring out the value of a single unit from which we can extrapolate the values of all the required units.

Distance. A line or line segment's length between two points along the line or line segment

According to the given information

Using unitary method

Distance covered in 9 months = 1,754 miles

Distance covered in each month = [tex]\frac{1754}{9}[/tex] miles

So,

The distance covered in each month = 194.89 miles

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Correct P-value = 0.6386 approximately equal to 0.64.

What is Permutation Distribution?

The permutation test is a statistical technique that is becoming more popular for creating sample distributions (or sometimes called a randomization test). Similar to bootstrapping, a permutation test resamples the observed data to create the sampling distribution, or "permutation distribution," rather than assuming it.

Group 1 data(in state sudents):  2 3 3 6 2 1 1 5 3 2.5

Group 2 data(out of state sudents):1 2 2 1 2 1 4 3 9 1 12 5 2

Summary Statistics For Permutation Distribution:

Permutations Unique Values Mean St. Dev. Min Q1 Median Q3 Max

10,000 71 -0.0153 1.15 -2.91 -0.877 0.00769 0.804 3.37

Permutation Test:

Number of Permutations Test Statistic Observed Value Number of Permutations with (x1 - x2) As or More Extreme Than Observed Value Permutation     P-value

10,000 x1 - x2 -0.612 6,386 0.6386

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Step-by-step explanation:

The 3 possible solutions for the inequality.

Add (or subtract) a number from both sides. Multiply (or divide) both sides by a positive number. Simplify a side

try this to get your answer

answer

b5

Step-by-step explanation:

If b = 3, then the inequality becomes 17 ≥ 2(3) or 17 ≥ 6, which is true.

If b = 6, then the inequality becomes 17 ≥ 2(6) or 17 ≥ 12, which is not true.

If b = 2, then the inequality becomes 17 ≥ 2(2) or 17 ≥ 4, which is true.

If b = 5, then the inequality becomes 17 ≥ 2(5) or 17 ≥ 10, which is true.

Therefore, the solutions to the inequality 17 ≥ 2b are b = 3, b = 2, and b = 5.

Answer: y = -5 - 1/2 x

Step-by-step explanation:

Slope intercept form: y=mx+b

2x+4y=-20

Isolate the y.

4y=-20-2x

Divide by 4.

y=-20/4-2x/4

y = -5 - 1/2 x

Answer:

x = 2.5y - 1

Step-by-step explanation:

Subtract 2 from both sides

then you get 2x = 5y - 2

then divide everything by 2 for the answer

x = 2.5y -1

The cost of the circular floor is $3299.77.

The space a circle takes up in a two-dimensional plane is known as the area of the circle.

For measuring the area occupied by a circular field or plot, use the area of a circle formula. The area formula will allow us to determine how much cloth is required to completely cover a circular table, for example.

Area of circle = [tex]\pi r^{2}[/tex]

Given in question,

[tex]\pi[/tex] = 3.14

Diameter = 33

Radius = Diameter/2

           = 33/2

           = 16.5

Area = 3.14*16.5*16.5

        = 854.865 square

Cost per square = $3.86

Cost for 854.865 square = 3.86*854.865

                                         = 3299.78

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The diagonal distance across the plaza is 70.7 meters

Given,

In the question:

Elise walks diagonally from one corner of a square plaza to another.

Each side of the plaza is 50meters.

To find the diagonal distance across the plaza.

Now, According to the question:

We have been given that Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters.

Since we know that diagonal of a square is product of side length of square and [tex]\sqrt{2}[/tex]. So we will find diagonal of our given square plaza by multiplying 50 by [tex]\sqrt{2}[/tex] .

Diagonal distance across the plaza = 50 x  [tex]\sqrt{2}[/tex] .

We know that the value of  [tex]\sqrt{2}[/tex]  = 1.41421

Diagonal distance across the plaza = 50 x 1.41421

Diagonal distance across the plaza = 70.7105 ≈ 70.7

Hence, The diagonal distance across the plaza is 70.7 meters.

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