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

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:

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]

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

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

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

Answers

ANSWER: the slope is -3y - 15

HELPPPPP ASAPPPPP PLSSSS

Answers

Answer:c

Step-by-step explanation:

Answer:

subtract to eliminate x

Step-by-step explanation:

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!

Help plss I will mark as brainlest if correct

Answers

Answer:

y= - 1/4x - 3

Step-by-step explanation:

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

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

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:

y= 1/6x - 1


Find the slope

Answers

Answer:

m=1/6

Step-by-step explanation:

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

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

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

Write 5√4 using rational exponents.

Answers

Answer:

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

Step-by-step explanation:

hope this helps

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%

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:

what is the slope of the line?

Answers

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

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)

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

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.

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]

____________________________

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

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

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

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

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

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

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

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