How to find the measure of an interior angle inside a regular polygon

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{180(n-2)}{n}[/tex] degrees, where n is the number of sides

Answer 2

The measure of an interior angle inside a regular polygon is given by;

[tex]\rm S = (n -2) \times 180[/tex].

What is the interior angle?

An interior angle of a polygon is an angle formed inside the two adjacent sides of a polygon. Or, we can say that the angle measures at the interior part of a polygon are called the interior angle of a polygon.

An Interior Angle is an angle inside a shape.

As per the angle sum theorem, the sum of all the three interior angles of a triangle is 180°.

Multiplying two less than the number of sides times 180° gives us the sum of the interior angles in any polygon.

The measure of an interior angle inside a regular polygon is determined by the following formula;

[tex]\rm S = (n -2) \times 180[/tex]

S = sum of interior angles and n = number of sides of the polygon.

To know more about interior angles click the link given below.

https://brainly.com/question/10638383

#SPJ4


Related Questions

Mr. Gates has $52 in his bank account. What will his account balance be after a purchase of $33 and then a deposit of $29?

Answers

Answer:

the answer is 48

Step-by-step explanation:

If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?

Answers

Answer:

1,400

Step-by-step explanation:

700 divided by 6 equals 116.66 and 116.66 times 12 is 1,399.92. But you have to round the decimal to make it accurate which you'll get 1,400.

Hope this helps.

Question 4 of 10
You have $10.00 and want to buy all of the items below. How much change
will you have left after you make your purchase? Do not include $ in your
answer.
COST
ITEM
Pancake Mix
Eggs
Syrup
$2.18
$2.28
$3.98
PLS HELP!’

Answers

Answer: 1.56

Step-by-step explanation:

Add all the cost together, the subtract the ten dollars.

2.18 + 2.28+ 3.98 = 8.44

10.00 - 8.44 = 1.56

fA= 2.3, B = 8.7 and C = 2.2, find the percentage error in evaluating A+B/C

Answers

Answer:

8.8

Step-by-step explanation:

You need to at A and B so 2.3+8.7=11. Then you take your 11 and - by C 2.2.

Hope this helps.

Please help quick!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\large\sf\underline{ANSWER:}[/tex]

23.) ax²-a

a(x²-1)

a(x+1)(x-1)

24.) 2x²-5x+3

2x²-3x-2x+3

(2x²-3x)+(-2x+3)

x(2x-3)-(2x-3)

(2x-3)(x-1)

25.) xy²+8xy+15x

x(y²+8y+15)

x(y²+3y+5y+15)

x((y²+3y)+(5y+15))

x(y(y+3)+5(y+3))

x(y+3)(y+5)

#[tex]\large\sf\underline{CarryOnLearning}[/tex]

Wilma loves to run she ran 1 hour and 15 minutes 3 days this week

Answers

If Wilma ran 1 hour 15 minutes and 3 days this week, the number of minutes she ran in total is 4395 minutes.

How to converts hours, days to minutes

She loves to run and she ran 1 hour and 15 minutes 3 days this week. Therefore, the total time in minutes she ran can be calculated as follows:

1 hour = 60 minutes

1 days = 24 hours

3 days = 72 hours

Therefore,

1 hours  = 60 minutes

72 hours = 4320 minutes

Hence,

The total minutes she ran = 60 + 15 + 4320 = 4395 minutes

The question is How many minutes did Wilma run in total?

learn more on minutes here: https://brainly.com/question/26140037

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL of cherry juice.

How many liters of fruit punch did Wes make?

Answers

Answer:

1.2 L

Step-by-step explanation:

3/4 of the bowl was full wes then filled the bowl with 300 ml so 300+300+600=1,200 = 1.2L

Help
question on the image.​

Answers

Answer:

  no

Step-by-step explanation:

We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:

  hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)

  = 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35

  = 17 22/35 . . . . cm

We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.

  17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm

The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so the hole is smaller than the pot.

The pot will not fit into the plant pot holder.

_____

You can use your calculator to find the free space around the pot by computing ...

  20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm

Negative space means the pot is larger than the hole.

please can someone help me answer the question in the picture

Answers

(X+3)(x+7) X+7
————— = ——
(X-3)(x+3) X-3

Find the rule to complete the pyramid.

Answers

i think this should work good luck

Which subtraction equation shows how to subtract
4
2
12

2
8
12
using equivalent fractions?
A.
42
12

28
12
B.
18
12

22
12
C.
50
12

32
12
D.
48
12

24
12

Answers

How do I subtract a fraction from a whole number? Take the LCM of denominator of both the fractions (the denominator of whole number is one). Then, in both the numbers divide the LCM by the denominator and multiply the result by the numerator. Subtract the numbers in numerators and you will get your answer.

Traveling at a speed of 12 mph, Jen biked home in 20 minutes. What was Jim's speed
if he biked the same distance in 15 minutes?

Answers

The speed of Jim if he biked the same distance in 15 minutes is 16 mph

What is speed ?

Speed is the distance covered at a particular time. Therefore,

speed = distance / time

The distance in the first journey can be calculated as follows:

speed = 12 mph

time = 20 minutes  = 0.3333 hours

12 = x / 0.333

distance = 0.333 × 12 = 3.9996 miles

Therefore, the speed of Jim if he biked the same distance in 15 minutes can be calculated as follows:

15 minutes = 0.25 hours

speed = 3.9996 / 0.25

speed = 15.9984

speed = 16 mph

learn more on speed here: https://brainly.com/question/14391898

Answer:

The speed of Jim if he biked the same distance faster than Jen. In 15 minutes is 16 mph is Jim’s speed

Step-by-step explanation:

HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?

Answers

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

solve for x and y 13x−28=24

Answers

x=4

also uhh where does the y go-

16. A car's value is declining continuously. The car is currently 3 years old and has a
value of S18000. The car sold for $26,000 brand new. What is the rate of depreciation?

Answers

Answer:

I believe your answer is 2666.67

Step-by-step explanation:

26,000-18,000=8,000

8,000/3=2666.6667

I hope this helped :D

Please help me with this please and thank you

Answers

Answer:

B

Step-by-step explanation:

the common ratio r of a geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4

Answer:

B   4

Step-by-step explanation:

Divide any number (other than the first one) in the sequence by the previous number.

12/3 = 4

48/12 = 4

Answer: B   4

if y=5x-3, find the value of y when x=0

Answers

Answer: [tex]Y=-3[/tex]

Step-by-step explanation:

[tex]Y=5x-3[/tex]

[tex]Y=5 * (x) -3[/tex]

Then replace x by 0

[tex]Y=5 * (0) -3[/tex] or [tex]Y= 5(0) -3[/tex]

[tex]Y=0 -3[/tex]

[tex]Y=-3[/tex]


A county fair charges $9.00 for admission and $2.50 per ride. If Latisha spent $49 on admission and rides, how many rides did Latisha ride?

Answers

Answer:

Latisha rode 16 rides

Step-by-step explanation:

Look at picture attached. Have a blessed night!

Just slope intercept formula (y=mx+b). X represents the number of rides so you will need to myltiply that by $2.50. $9 is a one time fee so that would be of the b of the equation. That all equals the total Latisha piaid, $49. Then solve like so.

PLA HELP ME THIS IS MY LAST CHANCE Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object​

Answers

Answer:

Answer is C

Step-by-step explanation:

Because you divide each side by 2 because that is the scale factor

Felipe is making triangles for a stained glass window, he made the design shown but wants to change it. Felipe wants to move the purple triangle to the corner. The purple piece has side lengths of 4.5 inches, 6 inches, and 7 inches. Can the purple piece be moved to the corner?

Answers

We have sides of triangle as [tex]4.5[/tex] inches, [tex]6[/tex] inches and [tex]7[/tex] inches.

So the sum of square of two smallest side is-

[tex]=4.5^2+6^2[/tex]

[tex]=20.25+36[/tex]

[tex]=56.25[/tex]

Now lets find the value of square of longest side of triangle-

[tex]=7^2[/tex]

[tex]=49[/tex]

Now from both value

[tex]49[/tex] [tex]\neq[/tex] [tex]56.25[/tex]

[tex]7^2[/tex] [tex]\neq[/tex] [tex]4.5^2+6^2[/tex]

So from Pythagoras theorem the given triangle is not a right triangle so it can not moved to the corner.

Thus, Since the triangle is not a right triangle therefore it can not moved to the corner.

Help please I'ma giving alot of points if you say something else just to get the points I will report ​

Answers

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

what is the answer please i need help asap

Answers

Answer: a third

Step-by-step explanation: im simply a genius

Please help! will give brainlest! locks in 30 min!

Answers

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{4 \pi }{3} = \pi + \frac{\pi }{3}[/tex]

tan ([tex]\frac{4\pi }{3}[/tex]) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex](- \frac{1}{2} )[/tex]

= [tex]\sqrt{3}[/tex]

hope this helps and is right!! p.s. i really need brainliest :)

What is the area of the figure?

Answers

Answer:

88

Step-by-step explanation:

We can divide this into 3 shapes, a square, rectangle, and triangle.

Let's solve the area of each of these shapes and add them all up.

First, let's solve the square.

We know that one side is 4 ft so that means that the other side is also 4ft.

4*4=16

Our area of the square is 16ft^2

Let's solve the rectangle next,

Its length is 12ft and its width is 4ft.

12*4=48

So the rectangle area is 48ft^2

Now for the triangle

Remember that area of a triangle is a=hb/2

Our height is 12 ft and our base is 4ft

12*4=48

48/2=24

Triangle is 24ft^2

That means that we can add them all up

24+48+16=88

88ft^2 or 88

In circle o below, what is the measure of angle x, the angle formed by a tangent and the
diameter of the circle?

Answers

[tex]\sf\large\underline\purple{Answer:-}[/tex]

The measure of the angle x = 90°

[tex]\sf\large\underline\blue{Reason:-}[/tex]

Theorem Of Tangent:-

[tex]\rightarrow[/tex]A radius is obtained by joining the centre and the point of tangency. The tangent at a point on a circle is at right angles to this radius.

________________________________

Hope it helps you:)

Have a nice day..

Answer:

The value of angle is 90°

Step-by-step explanation:

Theorem:-

The tangent of a circle is perpendicular to the radius through the point of contact

And we know , the value of angle formed by perpendicular is 90°

Please help me with this

Answers

As the first step, you have to distribute

2x - 12 + 4x + 16 = 40        Now combine the like items

6x + 4 = 40        

6x = 36

x = 6

A 16 oz box of cereal costs $2.56. How much would a 40 oz box cost?

Answers

Answer:

$6.40

Step-by-step explanation:

2.56 / 16 = 0.16
so 16 cents per oz
16 * 40 = 640

I need help! Giving brainiest. Please answer as many questions as you can!!!!

Answers

Answer:

2. 12

3. 1 6/8

4. 8 5/8

5. 4 4/8

6. Eli is incorrect 1 3/8 x 3 is 4 1/8 which is greater than 3 1/8

71-2x + 2
y2= -x+8
Albert created this table of solutions for the equations.
X
-2
0
4
N
S
yu
2 | 2
6
10
y2
10
8
6
4
Which point is a solution to the system of equations?
А.
(-2,-2)
B. (0,8
C.
(2,6
Cinem
D. (10,4)
in

Answers

Answer:

(2,6)

Step-by-step explanation:

y1 = y2

2x + 2 = - x + 8

2x + x = 8 - 2

3x = 6

x = 2

y1 = y2 = 6

Simplify
1/3 + 4/x-2 = 6

Answers

Answer:

1/3+4/x-2=6

Step-by-step explanation:

your is answer 6

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