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

PLEASE PLEASE HELP MEEE

Answers

Answer:

d. [tex]x=a(1-\frac{y}{b})[/tex]

Step-by-step explanation:

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

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

[tex]x = a(1 - \frac{y}{b})[/tex] <----- This is your answer

Hope this helps!

Bens living room is a rectangle measuring 9 yards by 150 inches. By how many feet does the length of the room exceed the width?

Answers

Answer:

14.5 ft or 14 1/2 ft

Step-by-step explanation:

36in= 1 yard

9x36= 324in (I'm guessing this is the length)

324in (length) -150in (width)= 174in

12 in= 1 ft

174/12= 14 ft 6 in

6 inches is half a foot

14.5 ft or 14 1/2 ft

PLS SOMEBODY ANSWER IM DESPERATE I NEED AN ANSWER OMGGGG I WILL GIVE BRAINLIEST JUST ANSWERR!!! maria earns $4.76 an hour at the local supermarket. each week, 25% of her total pay is deducted for taxes. in addition, she pays $25 a week, after taxes, in union dues. if she wants her takehome pay to be at least $100 a week, how many hours must she work? show work pls :)

Answers

Step-by-step explanation:

Let x be the number of hours Maria work per week.

We have 0.75 * $4.76x - $25 >= $100.

Therefore 0.75 * $4.76x >= $125,

$4.76x >= $166.66

x >= 35.014

Hence Maria have to work at least 36 hours per week.

y - 7/8 = 3/4

what is y


;-;

Answers

Answer:

y = 13/8

Step-by-step explanation:

Here are the steps I did:

1. y - 7/8 = 3/4 x 2/2

2. y - 7/8 + 7/8 = 6/8 + 7/8

3. y = 13/8

Answer:

Y in (-oo:+oo) Y- (7/8) = 3/4 // - 3/4. Y- (7/8)- (3/4) = 0. Y-7/8-3/4 = 0. Y-13/8 = 0 // + 13/8. Y = 13/8. Y = 13/8.

Step-by-step explanation:

If n = 4, all of the following expressions are equivalent except _____.


16

n -2

Answers

Answer:16

Step-by-step explanation:

Answer:

The answer is 16.

Step-by-step explanation:

I hope this helps

--3 x 2 x a + 5(-7b) + (12 x c x 4)

Answers

Answer:

and 4 easy

2

Step-by-step explanation:

The Math and Science Club sold candles for seven hours one Saturday. The bar graph shows the number of
candles sold during each hour.
Number of Candles Sold
30
25
20
No. of Candles
15
10
5
0
1
2
3
4
5
6
7
Hour
How many candles were sold during the fifth hour?
candles

Answers

Answer:

20 candles

Step-by-step explanation:

Can someone help me please

Answers

Answer:

| - 16 |

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| - a | = | a | = a

Then

| 6 | = 6

| - 16 | = | 16 | = 16

Thus the largest number from the list is | - 16 |

i think |-16| because of its absolute value

Twelve minutes after he starts downloading a file, Mario looks at his computer and sees this image. About how long will it take to download the entire file?

Answers

File = f. Imagen complete = i
f + 12 = i

A family eats at a restaurant. The bill is 42.

The family leaves a tip and spends 49.77 total.

How much money does the family tip?
How much is the tip as a percentage of the bill?

Answers

The Tip amount was =7.77. So 49.77-42=7.77
The percent is 7percent

Aspen added 14 to the product of 224 and 16 . What is the sum

Answers

Answer:

3,588

Step-by-step explanation:

224 x 16 + 14

= 3,588

hope this helps and have a good day!

PLEASE HELP WILL GIVE BRAILEST TO CORRECT ANSWER!!!!
Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 – 4x2y + 3x3 +2. Explain which student is correct and why.

Answers

Answer:

opps type miss

Step-by-step explanation:

miss type

Can you help me -3-
only the first problem (a)

Answers

Answer: -18

Step-by-step explanation:

Turn 2 1/4 into an improper fraction --> 9/4

Now the expression is:

9/4 x -8

Multiply 9 x -8 and that gives you -72...

Then, divide 4 from -72 which is -18!

Hope that helped!


a) Rotation, then reflection
b) Translation, then rotation
c) Rotation, then translation
d) Translation, then reflection ​

Answers

D) translation, then reflection

Round 75 to the nearest ten.
Round 92 to the nearest ten.
Multiply the rounded numbers.
Product
PLEASE HELP I KINDA FORGOT HOW TO ROUND

Answers

Answer:

75>80

92>90

80×90=7,200.

10 Points + Brainliest to first correct answer. Please give explanation for Brainliest. Any fake answers will be reported and deleted.
Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4?

Answers

the second one is correct

HAPPY NEW YEAR plz five me the right answer. ​

Answers

Answer:

It's the second one.

Step-by-step explanation:

As hours work increase, math average decrease

answers for both boxes please ​

Answers

Answer:

5 for the green box and 9 for the purple one

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

2x - 2y = 2

5x + 2y = 12

2x + 5x = 7x

-2y + 2y = 0

2 + 12 = 14

7x = 14

7x/7 = 14/7

x = 2

2x - 2y = 2

2(2) - 2y = 2

4 - 2y = 2

-2y = 2 - 4

-2y = -2

-2y/-2 = -2/-2

y = 1

4-141.
Find the perimeter and area of each figure.
a.
15 km
b.
inch
4 km 4
7 km
10 km
inch

Answers

Answer:

Step-by-step explanation:

please help i will mark brainliest:3

Answers

Answer:

Yes

Step-by-step explanation:

In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers.

Answer:

Yes, it is a function.

Step-by-step explanation:

use verticle line test

because every y-value only goes to one x-value it passes a verticle line test and is a function

I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.

The probability both of my choices are male is 2/15


Use the information to form an appropriate quadratic equation N square + an + b = 0, specifying the constants a and b.

Answers

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

For our case, the solutions will be:

[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

At the neighborhood grocery, 4.5 pounds of chicken breast cost $53.28. Benjamin
spent $59.20 on chicken breast. How many pounds of chicken breast did he buy, to
the nearest hundredth of a pound?

Answers

If my math is correct this should be a simple equation. First you’d start off by figuring out how much money chicken costs per one pound.
53.28 / 4.5 = $11.84 per pound
Now take how much money the chicken costs per pound and divide it by how much Benjamin spent.
59.20 / 11.84 = 5 pounds
Your answer should be exactly 5 pounds
I apologize if this is incorrect math, but the equation seems simple at first glance.

Please answer all of it. If good explanation will mark as brainliest.

Answers

Answer:

3. H

4.O

5.O

6.O

Step-by-step explanation:

Oblique asymptote: When the numerators highest exponent is 1 more than the denominators highest exponent. (x^2 is higher than x^1)

Horizontal asymptote: When the exponents are equal. (x = x, x^2 = x^2)

Sorry I don't know how to do the second part but I hope this helps.

Please help me 15 points for doing both 3 and 4

Answers

ok what you need in 3 and 4

Answer:

free points

Step-by-step explanation:

hahaha

is a percent a constant of proportionality

Answers

Answer:

Yes.

Step-by-step explanation:

A percent can be represented as a fraction and a fraction is a constant of proportionality.

Yes ................

guys im in school right now helppppppp please xoxo

Answers

Answer:

question A: 50%

Step-by-step explanation:

For question A: the percentage is ( enroll(2014) - enrol(2012) ) / enrol(2012) for  that is 0.5 = 50%, same method for the other questions

MATH PLSS (I'LL TRY TO GIVE BRAINLIEST)

Answers

Answer:

b

Step-by-step explanation:

the first graph: use the points (0,1) and (4,2) to get a slope of 1/4

function b's slope is 3/4, clearly greater. so B

Well, the answer to this question is function B

HELP PLZZZ!!!!! THank u! :)

(5 screenshots included)

Answers

#4 is 3rd answer , bc there is no such thing as xy together

Step-by-step explanation:

1. f(x) = 6x - 14

Slope is the coefficient of x

Slope = 6

2. f (x) =6x+ 9 +x

f(x) = 7x +9

Slope = 7

3. The last option because it is not a line.

4. The third option. x and y do not get multiplied in linear equations.

5. The last option.

the first one is y=x

the second one is y =-x

the third one is y=0x - 2

the last one is wrong because if x is - 1 or - 2 twice, it should still give the same vue for y.

I hope this helps.

Please gimme brainliest. Thank you

help pls A-p-e-x!!!!!!!!

Answers

Answer:

I think its D bc the scale factor is 1:5 so 12:60 therefore the answer I think is D

I hopeit helps but if its wrong im very sorry :(

Step-by-step explanation:

Solve for w.

4 = 2w − 4

w =

Answers

The answer will be w=4
Yeah I agree with the other dude it’s 4
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