Find the sum of the interior angle measures of a convex 15-gon (a fifteen-sided polygon).

Answers

Answer 1

Answer:

2340 degrees.

Step-by-step explanation:

The sum of the interior angle measures of any polygon can be calculated using the following expression ([tex]n[/tex] is the number of sides the polygon has):

[tex]180(n-2)[/tex]

For a 15-sided polygon, plug in 15 for n and simplify:

[tex]180(15-2)=180(13)[/tex]

Multiply to solve:

[tex]180(13)=2340[/tex]

For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).

Answer 2

The sum of the interior angles of a fifteen-sided polygon is 2340°.

What is the formula for interior angle of a regular polygon?

The formula for calculating the sum of interior angles is (n-2)×180° where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

Given that, a fifteen-sided polygon.

Now, the sum of the interior angle measures is

(15-2)×180°

= 13×180°

= 2340°

Therefore, the sum of the interior angle measures is 2340°.

Learn more about the sum of interior angles here:

https://brainly.com/question/28793979.

#SPJ2


Related Questions

If the graph of f(x)= 3^x is reflected over the x-axis, what is the equation of the new graph?

Answers

Answer:

g(x) = - 3^x

Step-by-step explanation:

Reflection over x-axis results in:

f(x) → - f(x) translation

Therefore the new function is:

g(x) = - 3^x

Untitled Question
5 points
Which of the following points lies in the solution set of the inequality
y 3x + 10?
a) (1, 10)
c) (4, 20)
b) (-1,3)
d) (2, 16)

Answers

I think the answer is D if not sorry

please answer asap I'll mark brainliest!!!!​

Answers

Answer:

10.) 6 2/5   11.) 21/100

Step-by-step explanation:

I hope that these are correct, they are simplified.

Stay awesome! and don't forget to be K I N D! <3

Rick earned $133 for 7 hours of work. How much does Rick earn per hour?

Equation:

So, rick earns ___ per hour

Answers

Answer:

Step-by-step explanation:

Everything is in the picture please help me.

Answers

Answer:

62.5%

Step-by-step explanation:

There are a total of 8 options.

We are trying to get 5 of the 8.

5/8 = 0.625 = 62.5%

Help plss I will mark as brainlest if correct

Answers

Answer:

y= - 1/4x - 3

Step-by-step explanation:

What is the ratio of 19:95? QUICK I NEED HELP!

Answers

Answer:

1 : 5

Step-by-step explanation:

Given the ratio

19 : 95 ( divide both parts by 19 )

= 1 : 5 ← in simplest form

Pleaseeeee help asap anyone

Answers

I got c=73 for my answer my work is in the photo

Answer:

73

Step-by-step explanation:

17+90+C=180 since it is a straight angle and yeah.

17+90=107+c=180

180-107=73

Find the perimeter and area

Answers

Answer:

perimeter = 14

area = 6

Step-by-step explanation:

p = 4 + 3 + 7

a = L × w

2

Answer:

Perimeter: 14m²n²cm

Area: 28m²n²

Explanation step bye step Given Data:

height: 4m²

length: 7mn²

base: 3mn²

To Find:

Perimeter =?

Area=?

Formula:

Perimeter: a + b + c

Area: length × height

Solution

Perimeter: a+b+c

= 4m²+7mn²+3mn²

= 14m²n² cm

Area: l×h

= 4m²×7mn²

= 28m²n²

please mark as brainliest answer pls

Simplify the expression by combining like terms.

3.6x+5.9−2.2−1.7x

Enter your answer as an expression, like this: 42x+53

Answers

Answer:
1.9x+3.7
Explanation:
3.6x + (-1.7x)= 1.9x
5.9 - 2.2= 3.7

y= 1/6x - 1


Find the slope

Answers

Answer:

m=1/6

Step-by-step explanation:

Complete the problem. Check your answer in the back of the book.
3. Joseph Lee's check register balance is $8,754.33. He compares his
statement with his check register. He notes that the bank paid him
$2.86 in interest and deducted a $1.20 service charge for bill payment.
He finds these outstanding checks and deposits:
Check 845: $751.75 Check 847: $2,455.89 Deposit: $805.14.

Answers

800.514 all is deposit

Which expression is not equivalent to 3x-2

Answers

Answer: Let's simplify step-by-step.

3x−2

There are no like terms.

So it going to be the same, =3x-2

Step-by-step explanation: hope you understand

Answer:

2x + 2 + x

Step-by-step explanation:

It requires 3 cups of sugar to make 54 cookies. How many cookies can be made with 4 cups of sugar?

Answers

Answer:

72

Step-by-step explanation:

54/3=18

54+18=72

what is 0.41891891891892 to two significant figures?

Answers

Answer:

0. 42

Step-by-step explanation:

any number greater than 0 is significant if it's exactly 0 or less than 0 is not significant. since it's two significant figures you count the first two numbers greater than 0 which is 0.41 and we have 8 will is greater than 5 which will be rounded to 1 then rounded to 0.41 which makes it 0.42

Write 5√4 using rational exponents.

Answers

Answer:

5(4)^1/2 is the correct answer

Step-by-step explanation:

hope this helps

Can someone help me with this and make sure to explain (8th grade math)

Answers

Answer: [tex]\boxed{439.82}[/tex]Solution Steps:

____________________________

1.) To find lateral surface the formula is: [tex]2[/tex]π[tex]r[/tex] × [tex]h[/tex][tex]2[/tex]π[tex]7[/tex] × [tex]10[/tex]2.) Solve:[tex]2[/tex]π[tex]7[/tex] × [tex]10=439.822972[/tex]

____________________________

Christian saved 27% of the $8,500 he earned painting the toenails of tiny poodle as a Carney worker at the 2007 state fair. How much has he saved?

Answers

Answer:

maybe 23

Step-by-step explanation:

30) Use the distributive property to solve: 5(x – 2)

Answers

5(x-2) if you use distributive property it changes to 5x-10 and I believe that’s it. You can’t solve it more

What is the slope of a line perpendicular to the line whose equation is X+3y=-15

Answers

ANSWER: the slope is -3y - 15

I don't understand this, I have the answer but I don't know or how to explain my work.

Answers

Answer:

B

Step-by-step explanation:

0.25 = 1/4 = 5/20

0.35 = 35/100 = 7/20

5/20 + 7/20 = 12/20 = 6/10 = 3/5

Answer:

Step-by-step explanation:

so first you would do 0.25+0.35= 0.6

now put 0.6 into a fraction= 6/10 because 6 is in the 10th place then simplify 6/10=3/5 which to find that you divide each side by 2

Hope This Helped!

Leroy wrote an expression that is equivalent to (20+10)divided (2•3)

Answers

Answer:

30/6

Step-by-step explanation:

20+10=30

2*3=6

what is the slope of the line?

Answers

Slope:0
Y intercept: -2
Do you still need help my guy?

NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!

A.) 10.25 units
B.) 10 units
C.) 12.7 units
D.) 12.25 units

Answers

Answer:

A.) 10.25

Step-by-step explanation:

Answer:

I think its D

Hope this helps

A garden table and a bench cost S585 combined. The garden table costs S65 less than the bench. What is the cost of the bench?

Answers

Answer:

Bench costs $325

Step-by-step explanation:

Try setting up an equation

x = cost of garden table

y = cost of bench

equation 1: x + y = 585

We also know that the table costs 65 dollars less than the bench.

cost of garden table = bench - 65

or

equation 2: x = y - 65

Now just substitute equation 2 into equation 1

(y-65) + y = 585

and solve for y

2y-65 = 585

2y = 585 + 65 = 650

y = 325 = cost of bench

HELPPPPP ASAPPPPP PLSSSS

Answers

Answer:c

Step-by-step explanation:

Answer:

subtract to eliminate x

Step-by-step explanation:

I need help fast thank you all!!

Answers

Answer:

b = 5.2

c = 3.5

Step-by-step explanation:

By 45°- 45° - 90° triangle theorem:

[tex]c = \frac{1}{ \sqrt{2} } \times 5 \\ \\ c = \frac{1}{ 2} \times 5 \sqrt{2} \\ \\ c = 2.5 \times 1.414\\ \\ c = 3.535 \\ \\ c \approx \: 3.5[/tex]

By 30°- 60° - 90° triangle theorem:

[tex] b = \frac{ \sqrt{3} }{2} \times (2 \times 3) \\ \\ b = 3 \sqrt{3} \\ \\ b = 3 \times 1.732 \\ \\ b = 5.196 \\ \\ b \approx 5.2[/tex]

Pls help quickly!!!!!!!!!!!!!!!

Answers

Acute triangle because it has three acute angles. An acute-angled triangle is a type of triangle in which all the three internal angles of the triangle are acute, that is, they measure less than 90°.

Answer:

hmm. I would say right.

Step-by-step explanation:

The angle when you flip your triangle is 90 degrees.

How do I do this I don’t get it at all

Answers

Order pairs (x,y)
A,(4,1)
B(-1,3)
C(-7,-4)
D(3,-2)
E(0,8)

Answer and Step-by-step explanation:

You're told to find the ordered pair of point E.

E is found on the y-axis.

If you count upwards 8 units, you will see that point E is there.

So, Point E is at the coordinate (0, 8), where 0 represents 0 units on the x axis, and 8 represents 8 units up on the y axis.

#teamtrees #WAP (Water And Plant)

which of the follong is the process of finding the factors of mathematical expression 2d²-8d​

Answers

Answer:

2d(d - 4)

Step-by-step explanation:

Given

2d² - 8d ← factor out the common factor of 2d from each term

= 2d(d - 4) ← in factored form

Other Questions
The hierarchy system of the Roman Catholic Church consisted of all of the following except one of these types of peopleA: PopesB: WomenC: Clergy Which number is a factor of 24 but not a multiple of 12 hi people here hi hi oya Match the word with the definition. Write the correct letter in the spaceprovided. Reminder that your answers should be blue.A. ProtonB. Periodic TableC. AtomD. Chemical SymbolE. GroupF. Atomic NumberG. Atomic MassH. Period1. ElectronJ. NeutronK. Nucleus1. Average mass of all the isotopes of that element2. Series of elements arranged in rows on the periodic table3 Smallest particle that still can be considered an element4. Subatomic particle with no charge5. An abbreviation of an element's name, usually one or two letters6. Subatomic particles with a positive charge7.A small region in the center of an atom8.Arrangement of elements showing repeating pattern of theirproperties9. Series of elements arranged in columns on the periodic table10.Subatomic particles with a negative charge11.Number of protons in the nucleus of an atom based on the passage which is the most likely reason bernadou struggles with the ideal favorite country HELP ME I REALLY NEED IT.. ITS DUE 11:59 PLEASE HELP ;-; Andrea and her friends love cake. Andrea has two cakes. Each of her friends is going to eat 2/3 of a cake. How many friends can Andrea serve cake to? Answer without units. * Evaluate \dfrac p4 +pq 4p+pqstart fraction, p, divided by, 4, end fraction, plus, p, q when p=8p=8p, equals, 8 and q=6q=6q, equals, 6. How many 6-ounce bottles can mr.Phillip fill with 64 ounces of blue 12 ounces of yellow and 32 ounces of white Write a function called is_even that takes one parameter and returns a boolean value. It should return True if the argument is even; it should return False otherwise.The is_even function should not print anything out or return a number. It should only take in a number and return a boolean.Note: Be sure to include comments for all functions that you use or create.For example, if you made a call likeis_even_number = is_even(4)is_even_number should have the value True.Once youve written this function, write a program that asks the user for integers and prints whether the number they entered is even or odd using your is_even function. You should let the user keep entering numbers until they enter the SENTINEL value.Here is a sample run of the program:Enter a number: 5OddEnter a number 42EvenEnter a number: -6EvenEnter a number: 0Done!(CODEHS, PYTHON) The period in history between A.D. 395 and A.D. 1500 is known as the:CrusadesMiddle AgesIndustrial AgeRenaissance DNA strands run in 1 of 2 directions depending on which end of the strand is free and which end has a phosphate bond. One direction is 5' to 3' (__________) and the other direction is 3' to 5' (downstream). __________ polymerase binds to the DNA at the TATA box and unzips the double helix. Working along the DNA chain, RNA polymerase reads the DNA nitrogenous bases and matches RNA nitrogenous bases from the nucleus (uracil instead of thymine). As it moves, RNA polymerase re-zips the DNA behind it and lets the mRNA separate from the DNA. It continues to do this until it reaches a sequence downstream called a __________ signal. In other words, RNA polymerase copies the DNA sequence downstream of the TATA box into an mRNA strand. 1. Simplify the rational expression (5 3/2)(5 1/2) Why did the Pilgrims want to go to North America???please help and fast i will mark brainliest!!! What are Alpha rays please its aurgent CiliaClick through the images toanswer the questions.4. Which type of microscopeproduced the image of cilia?5. What type of microscopewould be best for studying cilia Three out of every five students wore green on St. Patrick's Day. What percent of the students wore green?35%75%60%80% Plz help me!!!! I have to turn it in ASAP Im behind plz... is 1/2, 3/4, 1, 5/4, 3/2 an arithmetic sequence can someone help me on this one too?