The measure of an exterior angle of a regular polygon is 15°. What is the sum of the measures of the interior angles of the polygon?

Answers

Answer 1

First thing you must do is find the number of sides of the polygon.
The sum of all the exterior angles of a polygon is always 360°.
360/15 = 24
The polygon has 24 sides.

The formula for the sum of the interior angles of a polygon is:
180(n - 2)
Where n is the number of sides.

180(24 - 2)
180(22)
3960

The sum of the measure of the interior angles of the polygon is 3960.

Answer 2

Final answer:

The sum of the measures of the interior angles of a regular polygon, where the measure of an exterior angle is 15°, is 3960°.

Explanation:

To answer your question about the sum of the measures of the interior angles of the regular polygon, we can use the formula for computing the sum of the measures of the interior angles of a regular polygon, which is (n-2) * 180 degrees, where 'n' is the number of sides in the polygon.

In a regular polygon, the measure of each exterior angle is equal to the total of 360° divided by the number of sides. Given that the measure of the exterior angle is 15°, we can find 'n' using the equation 360°/n = 15°, which gives us n=24.

Substituting n=24 in the formula for computing the sum of the interior angles, we get (24-2)*180 = 22*180 = 3960°. Hence, the sum of the measures of the interior angles of the polygon is 3960°.

Learn more about Measure of Interior Angles here:

https://brainly.com/question/33696197

#SPJ2

Related Questions

Matthew has a rectangular area in his backyard that is 9 meters long and 6 meters wide, he wants a fence that would go around it as well as grass sod to cover it. How many meters of fence will he need?

Answers

The fence would need to be 30ft.

Answer:7

Step-by-step explanation:

A cell phone company mistakenly advertises that their data plan costs “0.02 cents” for every kilobytes of data. Write each as a fractional rate

Answers

I am not the best at ratios but based on logic I would say 0.02:1

1/0.02 2/0.04. 3/0.06 4/0.08. 5/0.02

What are the two square roots of 400

Answers

sqrt(400)=-20, 20

20 and -20

400 is 40 & 20 I think

the perimeter of the rectangle is 400 inches.what is the value of j

Answers

the value of J is 35CM

i've got identical tabs, cvs right?

j=35. i think. plug it in and check yourself.

A(n)
is a letter used as a placeholder for an unknown value.

Answers

i dont get it. you need more info for that to be answered

A variable is the letter used as a placeholder for an unknown value, playing a pivotal role in mathematical reasoning and problem-solving processes.

A placeholder for an unknown value in mathematics, algebra, and other fields is typically represented by a variable. Variables are symbols, often letters like x, y, or z, used to denote unspecified or changing quantities.

They serve as placeholders for values that can vary or are yet to be determined within a given context. In algebraic equations, variables enable the representation of relationships between quantities, facilitating problem-solving and mathematical modeling.

By assigning specific values to variables, equations can be solved, functions can be evaluated, and patterns can be analyzed. Variables are fundamental in various mathematical concepts, including equations, inequalities, functions, and formulas, allowing for flexible and dynamic representations of mathematical relationships.

I HAVE 2 QUESTIONS PLEASE HELP ME AND REAL ANSWERS PLEASE OR I WILL REPORT.

The cost to rent a hall for Alysa's Sweet Sixteen birthday party is $300. Her Mom said she must keep the party cost to no more than $5.00 a person. She watched her mom write an expression on her notes that is listed below. What does the variable represent in this expression?

300+200
------------------
X

A. The number of people attending

B. The amount to rent the hall

C. The amount of food

D. The total cost of the party

What is the sum of the coefficients in the expression

2m^2n + 2mn^2 - m + 3n + 9

PLEASE HELP ME

Answers

The answer is C. Because the mother said she can't waste more than $500 so in order for her to know how much she wasted is to add all the numbers answers

Answer:

Step-by-step explanation:

1. For her birthday, the mother stated that 5.0 per person, so then the number of people is going to change the party's budget. Now the numerator shows what the girl is going to spend, in comparisson to what she is sopposed to X. So then X is the cost of the party.

2. This one is tricky because we have to take into account that we can onky sum coefficients if they are alike. We can play with this expression by factorizing in different modes

A student applies for a summer internship at different companies. Given this student's previous work experience and grades, there is a chance of getting an internship offer at any company. Getting an offer from one company does not affect getting an offer from another company. What is the probability this student will receive or more offers?

Answers

Given that a student applies for a summer internship at 5 different companies. Given this student's previous work experience and grades, there is a 40% chance of getting an internship offer at any company. Getting an offer from one company does not affect getting an offer from another company.

What is the probability this student will receive 2 or more offers? (Round to 3 decimal places.)

This situation describes a binomial distribution with the probability of success = 40% = 0.4 and the number of trials = 5.

P(2 or more offers) = P(2) + P(3) + P(4) + P(5) = 1 - [P(0) + P(1)]

The binomial probability is given by

[tex]\bold{P(x)=\ ^nC_xp^x(1-p)^{(n-x)}} \\ \\ \bold{P(0)}=\ ^5C_0(0.4)^0(1-0.4)^{(5-0)} \\ \\ =1\times1\times(0.6)^5=0.07776 \\ \\ \bold{P(1)}=\ ^5C_1(0.4)^1(1-0.4)^{(5-1)} \\ \\ =5\times0.4\times(0.6)^4=2\times0.1296 \\ \\ =0.2592 \\ \\ \bold{P(0)+P(1)}=0.07776 + 0.2592=0.33696 \\ \\ \bold{\therefore P(2\ or\ more\ offers)}=1-[P(0)+P(1)] \\ \\ =1-0.33696=0.66304[/tex]

Therefore, the probability this student will receive 2 or more offers is 0.663 to 3 decimal places.

Which expression represents this word phrase? seven less than the quotient of x and 9 x−7 9 x÷ 9 7 (x÷9)−7 (9÷x)−7

Answers

The expression that represents 'seven less than the quotient of x and 9' is written as (x / 9) - 7, translating the operations of division and subtraction from the word phrase to algebra.

The word phrase 'seven less than the quotient of x and 9' translates to an algebraic expression by identifying the key terms: 'quotient' refers to division, while 'less than' indicates subtraction.

Specifically, the quotient of x and 9 is expressed as (x \/ 9), and to represent 'seven less than' this quotient, we subtract 7 from it. Thus, the corresponding mathematical expression is (x \/ 9) - 7.

What numbers fit in the range of 13-23

Answers

The range of 23 and 13 would be 10

14 15 16 17 18 19 20 21 22

Jazmin is completing an art project. She has two pieces of construction paper. The first piece is 4 4 4444 inches wide and the second piece is 3 3 3333 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible. How wide should Jazmin cut each strip?

Answers

Answer:

Each strip should 11 inches wide.

Step-by-step explanation:

We are told that Jazmin has two pieces of construction paper. The first piece is 44 inches wide and the second piece is 33 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.

To find the greatest possible width of each strip we will find GCF of 44 and 33.

Factors of 44 are: 1, 2, 4, 11, 22, 44.

Factors of 33 are: 1, 3,11, 33.

We can see that 11 is the greatest common factor of 44 and 33 as 11*4=44 and 11*3=33, therefore, Jasmine should cut each strip 11 inches wide.

Answer:

Step-by-step explanation:

To find the greatest possible width of each strip we will find GCF of 44 and 33.

Factors of 44 are: 1, 2, 4, 11, 22, 44.

Factors of 33 are: 1, 3,11, 33.

We can see that 11 is the greatest common factor of 44 and 33 as 11*4=44 and 11*3=33, therefore, Jasmine should cut each strip 11 inches wide.

Find the perimeter of rectangle PQRS with vertices P(0,0), Q(0,7), R(12,7) & S (12,0). Select one: a. 26 units b. 33 units c. 38 units d. 45 units

Answers

You need to use the Distance formula to find four segments: PQ, RQ, RS, and PS. Using that, you add the segments together. If there are any roots, you leave them be unless you're using a calculator.

Distance Formula: square root of (X1-X)^2 + (Y1-Y)^2

you used p minutes one month on your cell phone the next month you used 75 fewer minutes

Answers

(p-75)+p= total amount used

At 5 a.m., the temperature at an airport was −9.4°F . Six hours later, the temperature was 2.8°F . Which expression represents the total temperature change over the six hours?

Answers

Let x = the number of hours since 5 a.m.
Let y = temperature, °F

Let the total temperature change be modeled by the expression
y = ax + b

At 5 a.m., x = 0 and y = -9.4°F. Therefore
b = -9.4

When x = 6 hours, y = 2.8°F. Therefore
6a + b = 2.8
6a - 9.4 = 2.8
6a = 12.2
a = 2.0333

The expression is
y = 2.0333x - 9.4

Answer:
y = 2.0333x - 9.4
where
x = hours since 5 a.m.
y = temperature, °F

Answer:

|2.8 - (-9.4)|

Step-by-step explanation:

The correct answer is |2.8 - (-9.4)|.

Adam had a lump of silly putty that was 4¼ inches long. If he stretched it out to 2⅔ times its current length how long would it be?

Answers

I would turn these into fractions. So you do 4 times denominator and then add numerator. Do the same for the other fraction. Afterwards you get 17/4*8/3, which should give you your answer if I'm not mistaken, but I'm not 100% sure on that.

2p=kx-t how do you solve for x

Answers

isolate x on one side of the equation. divide by k.
2p over k =x-t
add t
(2p/k)+t = x.
hope this helps and have a wonderful day!

Final answer:

To solve for 'x' in the equation 2p=kx-t, you would first need to isolate 'x' on one side of the equation. Add 't' to both sides to get 2p + t = kx, then divide through by 'k' to solve for 'x'. Hence, x = (2p + t) / k.

Explanation:

To solve the equation 2p=kx-t for x, you would first need to isolate x on one side of the equation. This can be done by adding 't' to both sides of the equation, which results in 2p + t = kx.

Then, to isolate 'x', you would divide both sides of the equation by 'k'. So, the solution for x would be x = (2p + t) / k.

This rearrangement allows you to solve for x in terms of p, t, and k. This is an exercise in algebra, with the goal of isolating the variable you are attempting to solve for, in this case, x.

Learn more about Solving for x here:

https://brainly.com/question/24225997

#SPJ2

x-5 greater than or equal to - 2 or 2x less than 6

Answers

that depends on what the value of x is

Please help with number 34 :) thank youu

Answers

proportion if im not mistaken
is over of percent over 100
14 over 168 and x over 100 . 14 times 100 divided b 168 i believe .

Your friend's final bowling score is 105. Your final bowling score is 14 pins less than your friend's final score. Write and solve an equation to find your final score. Use x to represent your final score.
Equation:
=105

Answers

your score is 14 less your friend's can be written as:
your score = your friend's score - 14
x = 105 - 14
x = 91

4 1/5
-
2 7/10
________

Answers

15/10 which equals 1 5/10 which equals 1 1/2

11/2 also download Socratic it is great math help/answers

Someone please help me !

Answers

Charles will babysit for up to three hours and charges $11 the hour.

Then the function, f(x) = 11x will give the amount charged by Charles.

So, in the boxes you have to put:

box1 box2 box3

f(x) = 11 * x

An airplane flies 105 miles in 1/2 hour. How far can it fly in 1 and 1/4 hours at the same rate of speed?

Answers

First, let's figure out how many miles the plane can fly in 1/4 hour. Since this is half of 1/2 hour, it can fly half of 105 miles, which is 52.5 miles. Next, we need to know how many miles it can fly in one hour. Since it flies 105 miles in 1/2 hour, it flies twice that (210) miles in one hour. So then in 1 and 1/4 hours, it flies 210+52.5 miles.

how to make a percentage a fraction and a decimal

Answers

Say you have 14 out of 100. To make that into a fraction, you simply put the first number (as long as it says over or out of) on top and the second on bottom. You can also make that into a decimal, which would be .14 which is also equal to 14%.

Final answer:

To convert a percentage to a fraction, write it with a denominator of 100 and simplify. To make it a decimal, divide by 100. Convert a decimal to a percentage by multiplying by 100, and to a fraction by writing it with the place value as the denominator.

Explanation:

To convert a percentage to a fraction, you express the percentage value as a fraction with a denominator of 100. For instance, to convert 25% to a fraction, you write it as 25/100, which can be simplified to 1/4. When converting a percentage to a decimal, you divide the percentage value by 100. So, 25% as a decimal is 0.25.

To convert a decimal to a percentage, you multiply the decimal by 100 and add the percent symbol (%). For example, the decimal 0.83 would be 83% when converted to a percentage. To make a decimal a fraction, you express it in terms of its place value as a denominator and simplify if possible. For example, 0.83 can be expressed as 83/100 as a fraction.

Calculating percent composition involves using the part-total relationship. If you know the fractional score, you multiply it by 100 to find the percentage score. For instance, if you get 96 out of 100 on a test, you calculate the percentage composition by dividing 96 by 100 to get 0.96, then multiply by 100 to get 96%.

parentheses -2 to the 3rd power times 4 to the 4th power times 3 to the second power / -2 * 4 * 3 to the 3rd power

Answers

-2*4*3^3= 216, What you have to do is put the negative in front of the two then time's 4 then put three to the third power and add them all together and you will get 216

it takes earth about 365 days to orbit the sun.it takes uranus about 85 times as long write a numerical expression to describe the number of days it takes Uranus to orbit the sun

Answers

365x85, an expression doesn't have an = sign. so 365 days x 85 times longer.

Lorenzo rides his bike at a rate of 5 yards per second. About how many miles per hour can Lorenzo ride this bike?(1mile=1760 yards)

Answers

5*3600/1760~=10.23 miles per hour

What is 101/10 as a mixed number

Answers

101/10 as a mixed number is 10 1/10.

10 1/10 is the mixed fraction version of 101/10

the high school lunch menu repeats every 6 school days the middle school lunch menu reapeat every 8 school days on march 5th both school served chicken wraps what is the next calendar date on which both schools will serve chicken wraps

Answers

Hey! Hope that I can help.

To do this, I circled all the dates on the attached calendar, with red = middle and blue = high. The 6th of March in 2018 is when both schools will have chicken wraps again.

Final answer:

To find the next date both schools will serve chicken wraps, we find the least common multiple of the days their menus repeat, which is 24 days. We then count 18 school days (excluding weekends) from March 5th.

Explanation:

This question is about finding the least common multiple (LCM) of 6 and 8, which are the days that the lunch menus repeat for the high and middle schools respectively. The LCM of 6 and 8 is 24. This means that both schools will serve chicken wraps every 24 school days.

Assuming that March 5th falls on a school day, and that the school operates from Monday to Friday with the weekends off, we subtract weekends from this period. In a span of 24 weekdays, there are usually around 6 weekend days (3 weekends). So, from March 5th, we count 18 school days forward (24 days minus 6 weekend days). The result gives us the next day both schools serve chicken wraps.

Learn more about Least Common Multiple here:

https://brainly.com/question/34291727

My teacher In music is making us do a paper on bands ( more like lesser known)
I already chose a couple
Panic! At The Disco
Grouplove
Portugal The Man
I need one more any suggestions

Answers

CNCO its a latin band

Some of my fave bands:
Twenty One Pilots
My Chemical Romance
Green Day
Marina and the Diamonds
Coldplay
Queen
ACDC
Penatonix

Infamous band:
My friend really likes Sister Cities. I haven't heard them :0

a polygon with four sides is a quadrilateral, write this statement in if-then format

Answers

"If a polygon has four sides, then it is a quadrilateral"

how would i solve |-9x|=64

Answers

|-9x| = 64
-9x will become 9x

9x = 64
x = 64/9

Since -9x is absolute it would turn into 9x because anything in absolute form turns into a positive. Then, you're left with 9x=64 so you divide both sides by 9 and you end up with x=7.11 . I hope this helped!

Other Questions

Police officers have found human skeletal remains including a pelvis, and they ask your help in determining the individual's gender. which feature will you examine to help you make this determination? How did the writers of the U.S. Constitution adapt the political theories of the enlightenment? when Hitler assumed control of the Nazi party he immediately What is the best way of stopping pathogens from entering your body or spreading to others? a avoid undercooked meat b wash your hands c never share utensils d avoid mosquito bites? What is the simplified form of this expression? The width of a rectangle is 12 centimeters more than the length the perimeter is 68 centimeters find the Sheila is now 15 years older than her younger brother sanjay.ten years from now,sheila will be twice as old as sanjay.find the present age of each of them Patio covers 56 square yards find length of a side of patio to nearest tenth of yard Early seafaring trade centered on the? In the periodic table, the elements are organized into groups based on If you were asked to convert 25 mg to the unit hg, which of the following would be the first fraction used in the conversion? ten to the negative third power hg over one g ten to the negative third power mg over one hg ten to the negative third power mg over one g ten to the negative third power g over one mg Chastity is a natural when it comes to singing. Without any formal instruction, she has perfect pitch. For Chastity singing is a(n) _____.A. Aptitude B. SkillC. ChallengeD. Career Cultural pluralism allows each minority group to keep its cultural identity. true or false? When comparing elements in the same column of the periodic table, which factor- distance or the number of protons seems to be the dominant factor? Based on predicted production of 21,000 units, a company anticipates $357,000 of fixed costs and $309,750 of variable costs. the flexible budget amounts of fixed and variable costs for 19,000 units are (do not round intermediate calculations): $357,000 fixed and $309,750 variable. $280,250 fixed and $357,000 variable. $323,000 fixed and $280,250 variable. $323,000 fixed and $309,750 variable. $357,000 fixed and $280,250 variable. A square pyramid has a height h and a base with side length b. The side lengths of the base increase by 50%. Write a simplified expression that represents the volume of the new pyramid in terms of b and h. A triangle has one angle measuring 3X degrees the second angle measures 2X +20 and the third angle measures 4X -20 what is the value of X Which statement best describes a disadvantage of indirect democracy over direct democracy?A: It is not a guarantee that individual voices will be considered.B: It is inefficient when there are few issues to discuss.C: It works better for large populations than for small ones.D: It requires more time and energy from citizens. A student is looking at a picture of a cell taken through a microscope. the presence of which of the following would indicate that the cell is EukaryoticA.CytoplasmB.DNAC.NucleusD.Plasma Membrane You have $37 to spend at the music store. Each cassette tape costs $10 and each CD costs $13. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs. Steam Workshop Downloader