i) How do you find the sum of the angle measures of any convex polygon?

ii) If the polygon is regular, how do you find the measure of each interior angle in the polygon?

iii) How do you find the sum of the exterior angle measures of any convex polygon?

iv) If the polygon is regular, how do you find the measure of each exterior angle in the polygon?

Answers

Answer 1

Answer:

1) The sum of interior angles of a convex polygon is equal to (n-2) × 180°, where 'n' is the number of sides of the polygon.

2) A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

4) Irrespective of the number of sides of a regular polygon, the measure of each exterior angle is equal and the sum of the measure of all the exterior angles of the regular polygon is equal to 360°.

Step-by-step explanation:

I hope this helps!!

Related Questions

answer both pls thank u.​

Answers

1. 3010

2. 3

1. 3010 is divisible by 5 and 10

2. its has to be 513

helllllppppppp help help

Answers

Answer:

1. 2

2. 8

3. 1.5

4. 62.83185

5. 18.85

6. 87.96

7. 12.57

8. 1256.64

9. 63.62

10. Half

11. perimeter

12. not sure

Step-by-step explanation:

you install 618 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 152 feet. What is the length of the yard?

Answers

Answer:

The length of the yard is 157 feet

Step-by-step explanation:

P= L+L+W+W or 2L+2W. (P is perimeter, L is length, and W is width.)

Substitute in known values for the variables.

618=2L+2(152)

Multiply.

618=2L+304

Now solve for L by doing inverse operations (subtract).

314=2L

Divide.

L=157

So the yard is 157 feet long.

A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 5, 0), (2, negative 3), (negative 1, negative 3), (4, negative 2), (4, 2), (6, negative 1).
Which ordered pair could be removed to make this relation a function?

Answers

Answer:

-1

onyl becausse they are basically -3 4 {r84 if u havent got to that yet basically no

Step-by-step explanation:

-3

Create a word problem that represents the equation of: 3x - 15 = 6

Answers

Answer:

x= 7

Step-by-step explanation:

3x -15 =6

+15 +15

3× = 21

3/21

× = 7

so i get 17x6 and i got102 but on top i got a 4 how do i get the number on top i cant past my lessons cause of me not knowing how to get the number

Answers

So if you are doing multiplication you first have to multiply the first number which are 7 and 6 which is 42 you put the 2 below and the 4 on top, after that you multiply 1 and 6 which is 6 and add the 4 you put on top

Hope this is helpful

Need answer fast please. Which line is perpendicular to y = x + 2 and passes through (4,-1)?
y = -x+1
y = -x + 3
y = -x + 2
y = -x +4

Answers

Answer:

C. y = -x + 3

Step-by-step explanation:

y = x + 2

Find perpendicular slope (opposite reciprocal):

x/1 --> -1/x or -x

Convert to point-slope form:

y - (-1) = -1 (x - 4)

y + 1 = -1x + 4

y = -x + 3

The students in Mr. Andersen's science class counted the number of leaves on each of 11 different rose bushes. The data they collected is:

26, 54, 38, 65, 58, 35, 52, 43, 55, 41, 61

Answers

Answer:

B. 39

Step-by-step explanation:

The range is the difference between the greatest and smallest numbers.

65 - 26 = 39

Larry claims that (14 + 12) × (8 + 12) and (14 × 12) + (8 × 12) are equivalent because they have the same digits and the same operations. Is Larry correct?

Answers

Answer:

Larry is wrong

Step-by-step explanation:

Multiplying big numbers will give significantly bigger results then multiplying smaller numbers then adding them. 14 + 12 = 26 & 8 + 12 = 20. 14 x 12 = 68 & 8 x 12 = 96. 96 + 168 is alot less then 26 * 20 so that is why larry is wrong

Write 3-5 sentences about why you should receive brainliest. Best answer gets brainliest. ::)

Answers

Answer:

First off, I LOVE helping people even if I'm not a professor teacher, or tutor. However, I always do my best to answer the questions as close to perfection as possible even if it can take an hour. I want people to easier to understand and leaner better when I gave an answer to their question, by doing that, I felt very proud of myself and felt like I accomplished a goal. I'm still very young and just started using Brainly, so I don't really know what a brainlist is (DON'T LAUGH). Even so, if you don't think that I deserve the brainlist, it's fine because once I'm older and have more experience, I could help more and more people with their questions or problems. If you actually gave me a brainlist, I'll be really grateful and I might give you a brainlist if you answered my questions. Anyway, when I received a brainnlist,  the first thing that came up in my mind is that my answers are actually useful for once. P.s. if you give a brainlist, Thank u

Step-by-step explanation: I hope u like my response

I need help finding the slopes and lengths i already did the graph please helpneed asap

Answers

Answer:

v

Step-by-step explanation:

a. Slopes of each side:

AB: 3/4 --> 3 units up and 4 units right

BC: No slope. Slope requires a rise and a run. There's only a rise.

CD: 3/4 --> 3 units up and 4 units right

AD: No slope. Slope requires a rise and a run. There's only a rise.

b. Length of each side:

(You find this by using the distance formula)

AB: 5 units

BC: 5 units

CD: 5 units

AD: 5 units

ERROR ANALYSIS Describe and correct the error in
graphing and comparing
y= x^2and y = 0.5x^2.

Answers

Answer:

The graph should be stretched rather than become narrower.

Step-by-step explanation:

To figure this out, just create some example points.

At x = 0, your y-value will always be 0. But if you were to plug in the value 1, you would get a y-value of 1 in y=x^2, but a value of 0.5 in y=0.5x^2. If you were to plug in a value of 2, you would get a value of 4 in y=x^2, but a value of 2 in y=0.5x^2.

If you continue this pattern for a few more points, then plot them, you will see that adding a coefficient of 0.5 simply stretches the graph

Dad is getting food ready for my birthday party! Including me, there will be 47 people at the party. Dad is baking cupcakes for us! He can bake 12 cupcakes per batch. How many batches should I tell Dad to make so we can each have 4 cupcakes?

Answers

Answer:

4

Step-by-step explanation:

school

Emily measured a game room and made a scale drawing .The scale drawing was 1 inch = 1 foot .What is the scale factor of the drawing.

Answers

1:12 is the scale factor of the drawing

The seller wants to take $185,000 on the sale of his house after paying the commission of 6%. How much must the selling price be?

Answers

Answer:

196808.5106

Step-by-step explanation:

the seller will take 94% from the selling price and pay 6% to the commission, and he wants to take 185000 dollars

let the price = x

then x * 94% = 185000

Solving for x you get the answer

A chicken can give 1500 eggs a year. About how many eggs is that a day?​

Answers

Answer:

4.1 eggs which if you round is 4 eggs a day

Step-by-step explanation:

Answer:

Approximately 4 eggs.

1500 divided by 365 is 4.1095

In basketball, you can make close shots worth 2 points and far shots worth 3 points. In his game,
Vlad made 10 shots in total and scored 22 points. How many 3 point shots did he make?

Answers

Answer:

6

Step-by-step explanation:

6×3=18

18+4=22

He took 6 far shots and 2 close shots

Answer:

2 3-Point Shots

Step-by-step explanation:

I started with (2x6)+(3x3)

I decreased and increased the 2nd digits for each.

You can divide it but I didn't really wana

I ended up with 2x8+3x2

then that equals 22

NEED HELP QUICK
Find the height of a cone with a diameter of 12 m whose volume is 565 m3

Use 3.14 for n and round your answer to the nearest meter.

A. 15 m
B. 47 m
C. 5 m
D. 8 m

Answers

Answer:

15m

Step-by-step explanation:

volume of a cone = 1/3 πr³h

1/3 x 3.14 x (12/2)² x h = 565

37.68h= 565

h= 15m

Factor:
a^2 +4a+5

Can Include imaginary numbers

Answers

Ok the answer is A^2-+4a+5=0

Evaluate the following expression if a = 3 b = 4 and c = - 5

Thanks

Answers

Answer:

( a + b )( c - b )

= ( 3 + 4 )( -5 - 3 )

Step-by-step explanation:

( 3 + 4 )

 = 7

(-5 - 3 )

 = -8

-

(7)(-8)

= -56

1


math



pls help geniuses!!

Answers

Answer:

Step-by-step explanation:

I believe it is horizontal bc the y is squared

Measuring by using Trigonometry

Answers

Answer:

x approximately = 11.971, y approximately = 0.837

Step-by-step explanation:

the 12 ft is the hypotenuse of the right angle triangle formed

Cos (theta) = adjacent/hypotenuse

so Cos(4) = x/12, solving for x = 11.971

Sin(theta) = opposite/hypotenuse

so Sin(4) = y/12, solving for y = 0.837

or Of the 18 clients at Alana's salon, 8 of them have brown hair. What is the probability that a randomly selected client at Alana's salon has brown hair? Write your answer as a fraction or whole number. P(brown) =

Answers

Answer:

8/18 = 44.44%

Brainliest Oppurtunity, thanks.

Answers

the first guys ticket will be 285 dollars and the 2nd guys will be 380 dollars :)

A town has a population of 5000 and grows at 3. 5% every year. What will be the population after 15 years, to the nearest whole number?.

Answers

Answer:

26,2500

Step-by-step explanation:

resouva a equação 7×+8=4×-10​

Answers

Answer:

x = -6

Step-by-step explanation:

7x+8=4x-10​

3x = -18

x = -6

-------------------

check

7 * (-6) + 8 = 4 * (-6) - 10

-34 = -34

the answer is good

The probability that a student will
earn an A+ in AP Physics is 0.2. The
probability that a student will earn an
A+ in both AP Physics and AP
Statistics is 0.12. Given that a
Student has earned an A+ in AP
Physics, what is the probability that
he or she will earn an A+ in AP
Statistics?
Answer Choices:
0.024.
0.12.
0.24.
0.6.

Answers

[tex] \huge \sf \dag Answer : [/tex]

Option b, Because it is already known in the problem that the chances of someone getting an A+ in AP Physics are 0.12 and 0.2 is no longer needed because it could be just a mind-blower.

1/6 and 3/8 as fractions with common denominator

Answers

Answer:

You can use 48 and 24

Step-by-step explanation:

You can figure out 48 by simply multiplying 6 times 8. You can figure out the 24 by noticing that 24 is divisible by both 6 and 8. 6 x 4 =24, and 8 x 3=24. I hope this helps!

Answer:

1/6 = 4/24

3/8 = 9/24

Step-by-step explanation:

Rewrite using a single positive exponent
7^-6 * 7^2
(The 6 is negative)

Answers

Answer:

Step-by-step explanation:

7^2/7^6 = 1/7^(6-2) = 1/7^4

which is bigger 10.1mm or 101cm

Answers

Answer:

101cm is bigger

generally values of cm are bigger than mm

101cm is bigger than 10.1 mm
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