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

HELP ASAP!!!!!!!

PLS I NEED THIS TURNED IN IN 10 MINS

Answers

Answer:

slope = 2

y-int = 3

Step-by-step explanation:

y-intercept can be determined by the coordinate (0,3) which is 3 units up from origin on the y-axis

slope can be determined by taking the difference of a pair of y-values and dividing it by the difference of the x-values

ex,  3 - 1    = 2

     0 - (-1)      1

or:   5 - 3  = 2

        1 - 0        1

Gia opened two savings accounts at two diffrent banks. One account earns an annual 3.4% simple interest, and the other earns half as much. If she deposited $509 in each account, how much total interests will sh have earned in 3 years? A:$153.00 B:$38.25 C:$76.50 D:$51.00

Answers

Interest from first account is :

[tex]I_1 = \dfrac{p\times r \times t}{100}\\\\I_1 = \dfrac{509\times 3.4\times 3}{100}\\\\I_1 =\$ 51.918[/tex]

Interest form second account is :

[tex]I_2 = \dfrac{p\times r\times t}{100}\\\\I_2 = \dfrac{509\times 1.7\times 3}{100}\\\\I_2 = \$25.959[/tex]

So, total interest is :

[tex]I = I_1 + I_2 \\\\I = 51.918 + 25.959\\\\I = \$77.877[/tex]

Therefore, total interest is $77.877 .

Evaluate the function:

f(x)=x2−4x, find f(−3)

Answers

Answer:

f(-3) = 21

Step-by-step explanation:

To solve this, you can replace all x's with -3 and then solve to find the answer.

f(x) = x^2 - 4x

f(-3) = -3^2 - 4(-3)

f(-3) = 9 - (-12)

f(-3) = 21

I hope this helps!

4 Isabel is designing a new fish tank that is shaped like a triangular prism with lateral faces made of glass. A model of the fish tank and its dimensions are shown below. 10 in 8 in 1 6 in 8 in What is the lateral surface area of Isabel's fish tank? ​

Answers

Answer: 192 in2

AL=(a+b+c)h=(10+8+6)·8=192

Please Help asap!!!
Colin invests £5000 into his bank account.

He receives 10% per year simple interest.

How much will Colin have after 3 years?

Give your answer to the nearest penny where appropriate.

Answers

Answer:

Step-by-step explanation:

1500

Answer:

13500

Step-by-step explanation:

Question 8
Which graph does NOT represent a function?

Answers

Answer: The circle.

Step-by-step explanation: Vertical line test

The cost to rent a truck is $75 flat fee, plus $0.55 per mile driven. The table below shows the total cost of the renting the truck for the first four miles.

Answers

Answer:

75+ 0.55x = total amount

75 + (0.55 X 60) = $108

Step-by-step explanation:

x is a variable and represents the number of miles you drive, since you drive 60 miles you should figure out how much is 60 miles then add the flat fee of 75

hi, this is an ad. are you good at math? :D do you have nothing to do? :D do you like helping people? :D. if you answered yes to the very first question...help, please...I need it..... :D... :)...T n T ( also just click on my pfp and see if you can answer any of my recent math questions uh if not its fine )

Answers

Answer:

ok and ty oof

Step-by-step explanation:

Which of the following equations , in it's simplest form , will be equivalent to 3x+2+(-5)?

A: 2+3x+5. B: x-1+x-2+x C: -3-3x-1+x
D: 3-3x

Answers

Answer:

The correct answer would be B: x-1+x-2+x

Step-by-step explanation:

First, you would do 2+(-5), from the given equation. Then, it could be simplified to 3x-3. Then, looking at B, you would add the like terms, meaning you would add all the x´s together, and the whole numbers together, giving you 3x-3. I hope I made this easy to understand for you!

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Using the properties of integer exponents, match each expression with its equivalent expression
30 points and Brainly if answer is right

Answers

5-3 = 1/125
-5-3 = -1/125
(-5-3)-1 = -125
(-5-3)0 =1

Ms. Petters has 36 red, blue, and green markers. She has an equal number of each color of marker. She arranges the red markers in 2 equal groups. How many red markers are in each group?​

Answers

The answer should 6 Ik for sure

Here is a list of numbers.
32 29 30 37 34 33 31 Work out the median

Answers

Answer:

20, 29, 30, 31, 32, 33, 34, 37

~ the median is: 31 +32 / 2 = 31.5

Step-by-step explanation:

29 27 25 23 21 19
Plz mark me as Brainly

write an equation of the line passing through the point (3,2) and is parallel to the line y=\frac{1}{3}x-3


need answer ASAP

Answers

Answer:

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y = \frac{1}{3}x-3[/tex]

Slope-intercept form of a line is given by:

[tex]y = mx+b[/tex]

Comparing the given equation of line with general form we get

m = 1/3

Let m1 be the slope of line parallel to given line

Then the equation of line will be:

[tex]y = m_1x+b[/tex]

We know, "Slopes of two parallel lines are equal"

Which means

[tex]m_1 = m\\m_1 = \frac{1}{3}[/tex]

Putting the value of slope

[tex]y = \frac{1}{3}x+b[/tex]

Putting the point (3,2) in the equation

[tex]2 = \frac{1}{3}(3)+b\\2 = 1+b\\b = 2-1\\b = 1[/tex]

Final equation of line is:

[tex]y = \frac{1}{3}x+1[/tex]

Hence,

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

rearrange y= -3/4x + 2 in standard form with a positive lead to coefficient

Answers

Answer:

Step-by-step explanation:

    [tex]y=-\frac{3}{4} x+2\\add\frac{3}{4} x to both sides\\y+\frac{3}{4} x=-\frac{3}{4}x+\frac{3}{4} x+2\\y+\frac{3}{4}x=2\\\frac{3}{4} x+y=2[/tex]

Please mark me as brainliest!

Use the distributive property to evaluate the following expression: 9x (4 + 9)

Answers

Answer:

117x.

This is because since the 9 is outside the parenthesis, it applies to everything inside. 9x * 4 =36x and 9x * 9 =81x

36x+81x=117x.

Answer:

117x

Step-by-step explanation:

What is the value of x

Answers

Answer:

4.4

Step-by-step explanation:

10/4=2.5

11/2.5=4.4

I need help with this

Answers

Answer:

The order is from top to bottom just an FYI :)

First blank: 1

Second blank: 7

Third blank: 4

Step-by-step explanation:

I did the division, got the answer as 1.1, so the first blank is 1. The second blank should be 7 and the third blank should be 4 so that the numbers subtract to 0.

ASAP PLEASE!!!

Graph the equation.
y-3 = -x + 4)

Answers

Answer:

i think the correct answer is letter D im not sure

Step-by-step explanation:

Pls help I’m bad at math no matter how much I try

Answers

Answer:

no it is not

Step-by-step explanation:

What is the measure of an interior angle of a regular nonagon?

Answers

Each angle of a regular nonagon is of 140°. A nonagon in which all sides are not equal and all angles are not equal. The measure of it’s angles are different but total sum of all its interior angles is always 1260°.

PLEASE FAST SHOW YOUR WORK AND GIVE ANSWER FOR BRAINLIEST AND 15 POINTS

what is the value of 4(2f-3d)+2(2d+e)

Answers

Answer:

8f - 8d + 2e

Step-by-step explanation:

8f-12d+4d+2e = 8f - 8d + 2e

Answer:

−8d+8f+5.436564

Step-by-step explanation:

Let's simplify step-by-step.

4(2f−3d)+2(2d+2.718282)

Distribute:

=(4)(2f)+(4)(−3d)+(2)(2d)+(2)(2.718282)

=8f+−12d+4d+5.436564

Combine Like Terms:

=8f+−12d+4d+5.436564

=(−12d+4d)+(8f)+(5.436564)

=−8d+8f+5.436564

Answer:

=−8d+8f+5.436564

Find the values or a and b​

Answers

Answer:

a=33 ( vertically opposite angles)

a+90=b( sum of opposite interior angle is equal exterior angle)

33+90 = b

b=123

I need help plz "I suck at math"

Answers

Answer:

Step-by-step explanation:

number 2: the one that says opposite

In a system of two linear equations, the lines represented by each equation have the same slope. Which could be the total number of solutions to the system of equation

Answers

Answer:

Please see explanation

Step-by-step explanation:

A system of linear equations in two variables represents two lines on graph.

When both the lines have same slope, there can be two cases

Same slope with different y-intercepts

When two lines have same slope and different y-intercepts, that means that both lines are parallel and parallel lines have no solution.

Same slope with same y-intercepts

When the slope of both lines is same and the y-intercept is also same, this means that both the equations refer to the same line. This means that the system has infinite number of solutions.

i’ll give u brainliest!! what is the area of shape 1 2 and 3

Answers

Answer:

Shape 1: 197.04

Shape 2: 125.44

Shape 3: 62.72

Step-by-step explanation:

For shape 1, you first need to find the radius to then find the area of a circle. Which is 394.08. Since this isn't a full circle, you will need to divide it by 2 to get 197.04. For shape 2(Easiest to find) You do 11.2*11.2 to get the answer of 125.44. And lastly for shape 3, you can basically do the same as what you did for shape 2. But since it is a triangle, you divide your answer by 2, to get the answer of 62.72.

Answer:

yes

Step-by-step explanation:

How are the functions
f(x) = 16* and
19(x) = 161/2
related?

Answers

Answer:

F(x) = 16^x = 8^2x

g(x) = 16^1/2x = 8^x

So you can see the relationship. They are all of the type a^bx form, with same base of a, f(x) will have larger increasing rate.

Step-by-step explanation:

please help with this.

Answers

Answer:

b

Step-by-step explanation:

Answer:

I think your answer is B.

Step-by-step explanation:

Not 100% sure though

A traffic engineer records a sample of the types of vehicles that cross a bridge. She counts 112 passenger cars, 18 light trucks, and 20 heavy trucks.

What is the APPROXIMATE probability that a random vehicle crossing the bridge is a passenger car?

Answers

Answer:

The approximate probability that a random vehicle is a passenger car is 74.67%

Step-by-step explanation:

Probability

The traffic engineer records 112 passenger cars, 18 light trucks, and 20 heavy trucks. The total of vehicles recorded is n=112+18+20 = 150.

We are required to find the probability that a randomly selected vehicle crossing the bridge is a passenger car. There are 112 passenger cars, thus the probability is:

[tex]\displaystyle p=\frac{112}{150}[/tex]

p = 0.7467

p = 74.67%

The approximate probability that a random vehicle is a passenger car is 74.67%

Carla and Andrew have 29 chocolate chip cookies. Andrew has 8 more than twice Carla’s cookies. How many cookies does each person have?

Answers

Step-by-step explanation:

29 cookies

Carla has X cookies

Andrew has 8+ 2X cookies

x + 8 + 2x = 29

3x = 29-8

3x= 21

x = 7 / Carla has 7 cookies

8+ 2x = 8+2•7= 8+14=22 / Andrew has 22 cookies

Sarah brought a box of salt water taffy with 25 vanilla and 25 strawberry flavored pieces . What is the number of the possible outcome if she picks out 2 pieces of taffy

Answers

Answer:

The answer is 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

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