Find the measures of an interior angle and an exterior angle of the indicated regular polygon. Regular 20-gon interior angle exterior angle

Answers

Answer 1
[tex]\begin{gathered} \text{Please one interior angle =}\frac{180(n-2)}{20},\text{ n =20} \\ \text{Interior angle = }\frac{180(20-2)}{20}=\frac{180\times18}{20}=162 \\ \end{gathered}[/tex][tex]\begin{gathered} \text{One exterior angle = }\frac{360}{n} \\ =\frac{360}{20}=\text{ 18} \end{gathered}[/tex]


Related Questions

I will send u a picture of my equation

Answers

Answer:

where is the picture????

Classwork Area of Algebra Tiles 1 An If the side lengths of a tile can be measured exactly, then the area of the tile can be calculated by multiplying these two lengths together. The area is measured in square units. For example, the tile at right measures 1 unit by 5 units, so it has an area of 5 square units. 1 The next tile at right has one side length that is exactly one unit long. If the other side length cannot have a numerical value, what can it be called? ?

Answers

The other side of a tile can be called as width of hte tile

Factor by grouping:y^3-5y^2+3y-15

Answers

we have the expression

y^3-5y^2+3y-15

Grouping terms

(y^3-5y^2)+(3y-15)

factor y^2

y^2(y-5)+(3y-15)

factor 3

y^2(y-5)+3(y-5)

factor (y-5)

(y-5)[y^2+3]

solve for missing variable: 11y-36=63

Answers

The equation can be solved as,

[tex]\begin{gathered} 11y-36=63 \\ 11y=63+36 \\ 11y=99 \\ y=\frac{99}{11} \\ y=9 \end{gathered}[/tex]

Therefore, the value of y is 9.

which calculation does not show the surface area of the cube?

Answers

Given: A cube with side 6.5 cm

Required: Which calculation does not show the surface area of the cube.

Explanation:

Surface area of cube with side a is 6a².

So here the surface area of cube is

[tex]6(6.5)^2[/tex]

Oprion 2, 3 and 4 reflects the calculation correctly.

But option A is actually the volume of the cube, it is not a correct way to show surface area of the cube.

Final Answer: option A is correct.

Find ca^2+b^2=c^2 3^2+2^2=c^29+4=13

Answers

[tex]a^2+b^2=c^2[/tex]

Substituting with a = 3 and b = 2, we get:

[tex]\begin{gathered} 3^2+2^2=c^2 \\ 9+4=c^2 \\ 13=c^2 \\ \sqrt[]{13}=c \\ 3.6\approx c \end{gathered}[/tex]

-353-0-- * GR-35-21-2700-3s 6 - 2y-6- - +28+82-80 -592-35-07-2+27-35-30 9815+ Seesters << RB- --3-1-1-12) 6-5-3= LG - 5+13-2225 SVE -3-5y+6=-24 -*- 4y +50=-21 5r - 55 - 5 = 3r-S-=

Answers

Explanation:

5x - 4y + 2z = 21 ...equation 1

-x - 5y + 6z = -24 ....equation 2

-x - 4y + 5z = -21 ...equation 3

Using elimination method:

multiply equation 2 by 5:

-5x - 25y + 30z = -120 ....equation 2a

add equation 2a from 1:

5x - 5x -4y -25y + 2z + 30z = 21 - 120

0 - 29y + 32z = -99

-29y + 32z = - 99 ....equation 4

multiply equation 3 by 5:

-5x - 20y + 25z = -105 ...equation 3a

add equation 1 and 3a

5x - 5x - 4y - 20y + 2z +25z = 21 - 105

0 - 24y + 27z = -84

-24y + 27z = -84 ...equation 5

-29y + 32z = - 99 ....equation 4 (×-24)

-24y + 27z = -84 ...equation 5 (×-29)

696y - 768x = 2376 ...(4a)

696y -783x = 2436 ...(5a)

subtract 5a from 4a

696y - 696y -768x -(-783x) = 2376 - 2436

0 - 768x + 783x = -60

15x = -60

x = -60/15

x = -4

substitute for x in equation 4a:

696y - 768(-4) = 2376

696y + 3072 = 2376

696y = 2376 -3072

696y = -696

y = -696/696

y = -1

substitute for y in equation 4:

-29(-1) + 32z = -99

29 + 32z = -99

32z = -99 - 29

32z = -128

z = -128/32

z = -4

the sum of the angle measures of a polygon with n sides is given find n1440

Answers

Given in the question:

a.) The sum of all angles of a polygon is 1,440 degrees.

To be able to determine what polygon has a total sum of angles of 1,440 degrees, we will be using the following formula:

[tex]\text{ }\Theta=(n-2)x180^{\circ}[/tex]

We get,

[tex]\text{ 1},440^{\circ}=(n-2)x180^{\circ}[/tex][tex]\text{ 1},440^{\circ}=180n-360^{\circ}[/tex][tex]180n=1,440^{\circ}\text{ + 360}^{\circ}[/tex][tex]180n=1,800^{\circ}[/tex][tex]\frac{180n}{180}=\frac{1,800^{\circ}}{180}[/tex][tex]n\text{ = 10}[/tex]

Therefore, that polygon is a decagon or a polygon with 10 sides.

2/5m = 1/2 what is the m stand for ?

Answers

[tex]\begin{gathered} \frac{2}{5}m=\frac{1}{2} \\ \text{solve for m:} \\ m=\frac{5}{4} \\ \end{gathered}[/tex]

we can interpret m as a constant of proportionality.

Seventh grade > X.9 Reflections over the x- and y-axes: find the coordinates TF8 You have prizes to reveal The point D(-5, -3) is reflected over the y-axis. What are the coordinates of the resulting point, D'?

Answers

Answer

The coordinates of the resulting point, D' = (5, -3)

Explanation

When a given point with coordinates A (x, y) is reflected over the y-axis, the y-coordinate remains the same and the x-coordinate takes up a negative in front of it. That is, A (x, y) changes after being reflected across the y-axis in this way

A (x, y) = A' (-x, y)

So, for this question where the coordinate is D (-5, -3). it changes in the manner,

D (-5, -3) = D' (-(-5), -3) = D' (5, -3)

Hope this Helps!!!

A focus group of 12 people is to be chosen randomly from among 24 right-handed people and 5 left-handed people. In order to find the probability that 3 of the people chosen are right-handed, you should use

Answers

Let 1 and 2 mean that a person is right-handed or left-handed, respectively.

Consider the probability space as the different groups of 12 people that can be formed with the 29 total people. {(1,1,1,1,1,...1),(2,1,1,1,1,...,1),...}

We need to use the binomial distribution in order to find the answer.

Consider X to be the number of right-handed people in the group.

The probability of X=3 is then:

[tex]Pr(X=3)=\text{ binomial coefficien(}12,3\text{)}(\frac{24}{29})^3(1-\frac{24}{29})^{12-3}[/tex]

We used the formula

[tex]\begin{gathered} Pr(X=k)=\text{ binomial coefficient(n,k)}\cdot p^k(1-p)^{n-k} \\ \text{where } \\ k=3 \\ n=12 \\ p=\frac{24}{29} \end{gathered}[/tex]

Finally, we need to simplify the expression, as shown below

[tex]\Rightarrow P(X=3)=220(\frac{24}{29})^3(\frac{5}{29})^9=0.0000167[/tex]

This is the answer one obtains using the binomial distribution; nevertheless, the actual probability is equal to zero because it is not possible to form a group of 12 people that only contains 3 right-handed people as there are only 5 left-handed people (3+5=8).

In a middle school with 300 students, there are 40% boys, 1/3 of the students wear glasses, and 15% of the girls wear glasses. What is the probability (= how many percent is it) that a randomly selected student does not wears glasses? (Round the percentage to the nearest hundredth) *

Answers

We know that

• There are 300 students.

,

• 40% are boys (this means 60% are girls).

,

• 1/3 of the students wear glasses.

If 1/3 of the students wear glasses, then 2/3 of the students don't wear glasses. Let's find 2/3 of 300.

[tex]\frac{2}{3}\cdot300=\frac{600}{3}=200[/tex]

Therefore, 200 students don't wear glasses.

Then, we divide to find the probability.

[tex]P=\frac{200}{300}=0.6667[/tex]

Then, we multiply by 100.

[tex]0.6667\cdot100=66.67[/tex]Therefore, the probability is 66.67%.

Mario constructs a scale model of a building with a rectangular base. His model is 4.2 inches in length and 2 inches in width. The scale of the model is 1 inch = 15 feet What is the actual area, in square feet, of the base of the building?

Answers

First let's use two rules of three to determine the actual dimensions of the building.

For the length, we have:

[tex]\begin{gathered} 1\text{ inch}\to15\text{ feet} \\ 4.2\text{ inches}\to x\text{ feet} \\ \\ \frac{1}{4.2}=\frac{15}{x} \\ x=15\cdot4.2=63 \end{gathered}[/tex]

For the width:

[tex]\begin{gathered} 1\text{ inch}\to15\text{ feet} \\ 2\text{ inches}\to x\text{ feet} \\ \\ \frac{1}{2}=\frac{15}{x} \\ x=15\cdot2=30 \end{gathered}[/tex]

Now, calculating the area of the building base, we have:

[tex]\text{Area}=63\cdot30=1890\text{ ft2}[/tex]

So the area of the building base is 1890 ft².

What is the inverse function of y = (x-4)^2+2

Answers

One way to find the inverse of a function is by first swapping x and y, then solving for y, like this:

[tex]\begin{gathered} y=(x-4)^2+2\text{ }\Rightarrow x=(y-4)^2+2 \\ \end{gathered}[/tex]

Now, let's solve for y, like this:

[tex]\begin{gathered} x=(y-4)^2+2 \\ x-2=(y-4)^2+2-2 \\ (y-4)^2=x-2 \\ \sqrt[]{\mleft(y-4\mright)^2}=\sqrt[]{x-2} \\ y-4=\sqrt[]{x-2} \\ y-4+4=\sqrt[]{x-2}+4 \\ y=\sqrt[]{x-2}+4 \end{gathered}[/tex]

Then, the inverse function of y = (x-4)^2+2​ is:

[tex]y=\sqrt[]{x-2}+4[/tex]

A company produces 11 times as many rings on shift 1+ shift to if I total of 12,000 rings were produced how many were produced on each shift

Answers

Shift 1 produced 11000 rings and Shift 2 produced 1000 rings.

What does "parent company" mean and how Do Parent Companies Work?

A single firm that owns a majority stake in another company or groups of companies is known as a parent company.

Parent corporations are created through acquisition, merger, spin-off, or carving out of subsidiaries.

A parent company is a business that controls a significant portion of another business, giving it operational authority over that business.

Given :-

Production of  Shift 1 = 11 times of  Production of Shift 2

total production = 12,000 rings

production of ( Shift 1 +  Shift 2 ) = Total production

on solving we get,

Production of  Shift 1 = 11,000 rings

Production of  Shift 2 = 1,000 rings

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Question
Refer to section 1.3.2, Credit scores, beginning on page 22 of the report.
Arrange the five tiers of credit scores in order, starting with the lowest tier of credit scores.

Answers

The five credit score tiers are listed in ascending order, starting with the lowest tier:

Deep Subprime < Subprime < near prime < prime < super prime

A consumer's credit score may have a big impact on their ability to receive credit. These interactive infographics show how lending practices have changed for borrowers with various credit score profiles.

We focus on the five credit score levels that are commercially available.

The range of subprime credit scores is 580 to 619.

The range of Prime's credit score is from 660 to 719.

Deep subprime credit scores fall below 580.

Near prime credit scores range from 620 to 659.

Super prime credit is defined as having a score of 720 or higher.

The following are the five credit scores, listed from lowest to highest:

Deep Subprime < Subprime < near prime < prime < super prime

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A small company produces baseball and racquetball by the function B(x)=-6x^2+2,556x-106,878. The profit made from the racquetball products can be represented by the function R(x)=-x^2+293x-16,770. If x is the total number of products made, which function best describes P(x), the profit the company makes from these two products?

Answers

profit made from the baseball products

[tex]B(x)=-6x^2+2556x-106878[/tex]

Profit made from the racquetball products

[tex]R(x)=-x^2+293x-16770[/tex]

Profit made from those 2 products is

[tex]\begin{gathered} P(x)=-6x^2-x^2+2556x+293x-106878-16770 \\ P(x)=-7x^2+2849x-123648 \end{gathered}[/tex]

AcuveDetermining If a Number Is a SolutionQUICK CHECKWhich values are solutions to the inequality -3x – 4< 2? Check all of the boxes that apply.-4-2OOO03DONE

Answers

We have the next inequality given:

[tex]-3x-4<2[/tex]

Solve the x variable:

Add both sides 4

[tex]\begin{gathered} -3x-4+4<2+4 \\ -3x<6 \end{gathered}[/tex]

Divide both sides by 3

[tex]\begin{gathered} \frac{-3}{3}x<\frac{6}{3} \\ -x<2 \end{gathered}[/tex]

Finally, multiply both sides by -1:

[tex]\begin{gathered} (-1)(-x)<2(-1) \\ x>-2 \end{gathered}[/tex]

Hence, x can take any value greater than -2.

So, the solutions that apply are 0 and 3.

Solve the system using the elimination method:2x - y + z = -26x + 3y - 4z = 8-3x + 2y + 3z = -6

Answers

multiply 2x - y + z = - 2 for 3

[tex]6x-3y+3z=-6[/tex]

then sunstract the equation 1 and 2

[tex]\begin{gathered} 6x+3y-4z=8 \\ 6x-3y+3z=-6 \\ 6y-7z=14 \end{gathered}[/tex]

multiply -3x+2y+3z=-6 for 2

[tex]-6x+4y+6z=-12[/tex]

adding

[tex]\begin{gathered} -6x+4y+6z=-12 \\ \underline{6x-3y+3z=-6} \\ y+9z=-18 \end{gathered}[/tex]

multiply y+9z=-18 for 6

[tex]6y+54z=-108[/tex]

Subtracting

[tex]\begin{gathered} 6y+54z=-108 \\ \underline{6y-7z=14} \\ 61z=-122 \end{gathered}[/tex]

then solve

[tex]\begin{gathered} 61z=-122 \\ \frac{61z}{61}=\frac{-122}{61} \\ z=-2 \end{gathered}[/tex][tex]\begin{gathered} 6y-7\mleft(-2\mright)=14 \\ 6y+14=14 \\ 6y+14-14=14-14 \\ 6y=0 \\ y=0 \end{gathered}[/tex][tex]\begin{gathered} 6x-3\cdot\: 0+3\mleft(-2\mright)=-6 \\ 6x-6=-6 \\ 6x-6+6=-6+6 \\ 6x=0 \\ x=0 \end{gathered}[/tex]

answer is: x = 0, y = 0 and z = - 2

Two ships are sailing across the Atlantic ocean at the equator. The dofference in solar time between them is two hours. How many degrees of longitude are they apart?

Answers

Answer:

30 degrees

Step-by-step explanation:

There are 360 degrees of longitude ( 360 degrees is a complete circle)

   It takes 24 hours to complete a complete rotation of the earth

       360 degrees / 24 hours = 15 degrees / hr

15 degrees/ hr * 2 hr = 30 degrees

absolute value of v-5>3

Answers

Answer: v=8

Step-by-step explanation:

-5+5=0

3+5=8

v=8

Can I get help w this pleaseThe dimensions of a rectangular prism are quadrupled.if the original surface area was 225ft^2 was is the new surface area?

Answers

Answer:

Concept:

Doubling the dimensions of a prism will increase the new area by 4 times the original area

Tripling the the dimensions of the prism will increase the new area by 9 times the original area

Quadrupling will increase the new area by 16 times the original area

Given that the original area given is

[tex]=225ft^2[/tex]

The new area therefore will be

[tex]\begin{gathered} 16\times225 \\ =3600ft^2 \end{gathered}[/tex]

Hence,

The final answer will be

[tex]\rightarrow3600ft^2[/tex]

the triangle in the figure had a hypotenuse equal to 40 units what is the approximate length of x
25.7 units
30.6 units
47.7 units
52.2 units
(Srry I’m spamming I know nothing on this test)

Answers

If the triangle in the figure has a hypotenuse equal to 40 units, then the approximate length of x is 30.64 units

The length of the hypotenuse = 40 units

The angle = 50 degrees

Here we have to apply the trigonometric function

we know

sin θ = Opposite side / Hypotenuse

cos θ = Adjacent side / Hypotenuse

tan θ = Opposite side / Adjacent side

Here we have to use the equation of sin θ

Substitute the values in the equation

sin 50 = x/40

x = 40×sin 50

x = 30.64 units

Hence, if the triangle in the figure has a hypotenuse equal to 40 units, then the approximate length of x is 30.64 units

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Use the graph of y = f (x) to find the following value of f. f(2) =

Answers

Answer:

f(2)=4

Explanation:

Consider the graph below:

When x=2, the value of f(x) = 4 (the poiny circled in blue above).

Therefore:

[tex]f(2)=4[/tex]

The value of f(2) is 4.

- What is the closed linear form of the sequence 3, 4,5, 6, 7, ...?

Answers

[tex]\begin{gathered} Sequence\text{ general equation} \\ a_n=a_1+(n-1)d \\ \text{From given information} \\ a_1=3 \\ \text{From the general equation} \\ a_n=a_1+(n-1)d \\ a_n-a_1=(n-1)d \\ d=\frac{a_n-a_1}{n-1} \\ \text{Choosing second term, n=2, a}_2=4 \\ d=\frac{4-3}{2-1} \\ d=1 \\ \text{Hence The closed linear form of the sequence is} \\ a_n=3_{}+(n-1)\cdot1 \\ a_n=3_{}+(n-1) \\ a_n=3_{}+n-1 \\ a_n=3_{}-1+n \\ a_n=2+n \end{gathered}[/tex]

You must show your work as you... determine whether QR and ST are parallel, perpendicular, or neither. Q(9, 10), R(-5, 2), S(-8, -2), T(-1, 2) Parallel Perpendicular Neither

WILL MARK BRAINLIEST
PLS HELP ASAP

Answers

Slope of QR = 4/7; Slope of ST = 4/7, therefore, the lines are parallel to each other.

How to Determine if Two Lines are Parallel or Perpendicular?

To determine if two given lines are perpendicular to each other or parallel to each other, find their slopes.

Slope, m = change in y / change in x.

If they have the same slope, m, then they are parallel lines. If they have slopes that are negative reciprocal to each other, then they are perpendicular lines.

Given:

Q(9, 10)

R(-5, 2)

S(-8, -2)

T(-1, 2)

Find the slope of QR and ST:

Slope of QR = (10 - 2)/(9 -(-5)) = 8/14 = 4/7

Slope of ST = (-2 - 2)/(-8 -(-1)) = -4/-7 = 4/7

The slope are the same, therefore they are parallel to each other.

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Which of the equations below could be the equation of this parabola? A. y = 1/2 x² B. x-1/2 y2 c. y = -1/2 x² D. x = 1/2 y2SUBMIT

Answers

The equation of the parabola is given as;

[tex]y=\frac{1}{2}x^2[/tex]

The correct answer is option A.

Jan 10, 7:17:08 PM Which equation represents a line which is perpendicular to the line x - 2y = -14? Oy= -27 -1 Oy= 2x + 8 Submit Answer Oy=x+4 Oy = -x + 2

Answers

You need to determine which line is perpendicular to the line

[tex]x-2y=-14[/tex]

For two lines to be considered perpendicular their slopes must be the inverse positive, that is, if, for example, you have the lines

[tex]y_1=mx_1+b[/tex][tex]y_2=nx_2+c[/tex]

For them to be perpendicular one slope must be the inverse negative of the other such as

[tex]n=-\frac{1}{m}[/tex]

The first step is to write the given line in slope-intercept form:

1) Pass the x term to the right side of the equal sign

[tex]\begin{gathered} x-2y=-14 \\ x-x-2y=-14-x \\ -2y=-x-14 \end{gathered}[/tex]

2) Divide both sides of the expression by "-2"

[tex]\begin{gathered} -\frac{2y}{-2}=-\frac{x}{-2}-\frac{14}{-2} \\ y=\frac{1}{2}x+7 \end{gathered}[/tex]

The slope of the line is

[tex]m=\frac{1}{2}[/tex]

So the slope of a line perpendicular to it will be the inverse negative of it

[tex]\begin{gathered} n=-(\frac{1}{\frac{1}{2}}) \\ n=-2 \\ \end{gathered}[/tex]

The correct option is the one that has slope -2

Write 6.5123 x 10^8 in standard

Answers

The standard form is a standard method of writing numbers such that we have it in the form:

[tex]a\times10^b[/tex]

where

[tex]0Therefore, 6.5123 x 10^8 in standard form is:[tex]6.5123\times10^8[/tex]

| 5-6x | -12 = 0Solve the absolute. equation for 2 values of x

Answers

Given

[tex]|5-6x|-12=0[/tex]

To solve this equation for both possible values of x, you have to separate it into two calculations.

1) One will be for the case that the values inside the absolute term are multiplied by "+1":

[tex]\begin{gathered} 1\cdot(5-6x)-12=0 \\ 5-6x-12=0 \\ -6x+5-12=0 \\ -6x-7=0 \\ -6x=7 \\ -\frac{6x}{-6}=\frac{7}{-6} \\ x=-\frac{7}{6} \end{gathered}[/tex]

The first value of x is -7/6

2) The second will be the case that the absolute values are negative, that is as if they are multiplied by -1

[tex]\begin{gathered} (-1)(5-6x)-12=0 \\ -5+6x-12=0 \\ 6x-5-12=0 \\ 6x-17=0 \\ 6x=17 \\ \frac{6x}{6}=\frac{17}{6} \\ x=\frac{17}{6} \end{gathered}[/tex]

The second value of x is 17/6

So for this absolute equation, the possible values of x are -7/6 and 17/6

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