The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides. 20

Answers

Answer 1

Answer:

Internal angle = [tex]160^\circ[/tex]

Number of sides = 18

Step-by-step explanation:

Given that:

We have a regular polygon with number of sides unknown.

Measure of an exterior angle of the polygon = [tex]20^\circ[/tex]

To find:

Measure of an interior angle and the number of sides of the polygon?

Solution:

Let us have a look at the relation of sum of external angles.

Sum of one internal angle and its corresponding external angle = [tex]180^\circ[/tex]

Internal angle + external angle = [tex]180^\circ[/tex]

Internal angle = [tex]180^\circ[/tex] - [tex]20^\circ[/tex] = [tex]160^\circ[/tex]

Sum of all the external of a regular polygon = [tex]360^\circ[/tex]

All the external angles will be equal because it is a regular polygon.

Let the number of sides = [tex]n[/tex]

Therefore,

[tex]n \times 20^\circ = 360^\circ\\\Rightarrow n = 18[/tex]

Therefore, the answers are:

Internal angle = [tex]160^\circ[/tex]

Number of sides = 18


Related Questions

Two cars leave South Hill Mall at the same time driving in opposite directions.
One car is driving 55 miles per hour while the other car is driving 65 miles per
hour. When will the cars be 1020 miles apart?

Answers

Answer:

15.6 and

Step-by-step explanation:

illustrate. Then solve the
1.) A car is able to travel 210 km in 3 hours. How far can it
travel in 5 hours?​

Answers

Answer:

350 km

Step-by-step explanation:

210/x=3/5

x=350

tadaaa

350 km
Coras multiply and divide

I don't understand how to do this question, I need help

Find the value of x in each diagram

Answers

Answer:

A. x = 8.

B. x = 31.

C. x = 32.

Step-by-step explanation:

Here. the sum of the 2 parallel sides of the trapezoid = 2 * length of the middle line segment.

MN + RS = 2PQ

32+ x = 2*20

x =  40 - 32

x = 8.

MN + RS = 2PQ

20 + 42 = 2PQ

2x =  62

x = 31

MN + RS = 2PQ

22 + 42 = 2PQ

2x =  64

x = 32.

pls help me 10 points

Answers

Domain: (-6, 0, 3) Range: (-9, -7, 3, 5)

Answer:

domain={-6,-6,0,3}

range={5,-9,3,-7}

7th grade math help me please :))

Answers

Answer:

6^8

1679616 nickles

Step-by-step explanation:

This is multiplying by exponents, so 6^1 is for the first bracelet, the second bracelet is 6^2 and the third is 6^3 and so on till you get to 6^8 where it is the 8th bracelet. 6^8 is equal to 1679616 nickles

Answer:

6^8

Step-by-step explanation:

help please it’s due in 20 minutes

Answers

Answer:

X = 34 (by Pythagoras theorem)

STEP BY STEP:

(30) ^2 +(16)^2 =1156

Root 1156 =34

I hope it helps :))

Please Help

(x+50)/2 = 13x

Answers

Answer:

X=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

4.Under NCC training program, students of Vidyalaya stayed in a conical tent made, with a base radius of 7m and height 24m.After performing whole day program of NCC , students came to their tent for some rest and enjoyment. What is the slant height of the tent?

b. what is the area of the tarpaulin used in making the tent , assuming that all the stitching margins and the wastage is negligible?
c. What is the length of the tarpaulin if its width is 11m?
d. Determine the cost of tarpaulin, if it measuring 1 m2 costs Rs. 5 .

Answers

I have a lot to say about the devil lol

Consider the following 8 numbers, where one labelled x is unknown.
33, 5, 42, 2, 3,9 46,9
Given that the range of the numbers is 64,
work out 2 values of x.
=
=
I​

Answers

Answer:

2x+52

Step-by-step explanation:

39. The ratio of new houses to antique houses in a village is 4:5. If there are
12 new houses, how many antique houses are there?
a. 8
b. 12
c. 15
d.​

Answers

Step-by-step explanation:

☄ [tex] \underline{ \underline{ \text{Question }}}: [/tex] The ratio of new houses to antique houses in a village is 4 : 5 . If there are 12 new houses , how many antique houses are there ?

☄[tex]\underline{ \underline{ \text{Solution}}} : [/tex]

✏ Let , the number of antique houses in a village be ' x ' .

Then , According to the question :

[tex] \sf{ \frac{Number \: of \: new \: houses}{Number \: of \: antique \: houses} \: = \: \frac{4}{5}} [/tex]

⤑[tex] \sf{ \frac{12}{x} = \frac{4}{5}} [/tex]

Apply cross product property

⤑[tex] \sf{4 \times x = 12 \times 5}[/tex]

⤑[tex] \sf{4x = 60}[/tex]

⤑[tex] \sf{ \frac{4x}{4} = \frac{60}{4}} [/tex]

⤑[tex] \sf{x = 15}[/tex]

So, The number of antique houses in a village is 15.

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{15}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Estimate the sum of 945 + 573 + 617 by rounding each number to the nearest hundred. ​

Answers

900 + 600 + 600 = 2100

The estimated sum of  945 + 573 + 617 by rounding each number to the nearest hundred is 2100.

What is rounding off of numbers?

We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given, Are the sum of three integers 945, 573, and 617.

Now, 945 rounded to the nearest hundred is 900, 573 rounded to the nearest hundred is 600 and 617 rounded to the nearest hundred is 600.

Therefore,  the sum of 945 + 573 + 617 by rounding each number to the nearest hundred is 900 + 600 + 600.

= 2100.

learn more about rounding off of numbers here :

https://brainly.com/question/29088877

#SPJ5

What is the distance, rounded to the nearest tenth, between the points (-2.4) and (6,-4)?

Answers

Answer:

[tex]distance = \sqrt{(x _{1} - x _{2})^{2} + {(y _{1} - y _{2})}^{2} } \\ = \sqrt{ {( - 2 - 6)}^{2} + {(4 - ( - 4))}^{2} } \\ = \sqrt{64 + 64} \\ = \sqrt{128} \: units[/tex]

PLEASE HELP THIS IS MY FINAL EXAM FOR ALGEBRA
The population of a town is decreasing at a rate of 1% per year. In 2000 there were 1300 people. Find the population of the town in 2008. *

Answers

Answer:

The answer is 1,300 people

A system of linear equations that has the same slope with different y-intercepts will have______
A) the same line
B) parallel lines
C) intersecting lines and lines that have the same equation
D) either intersecting lines or lines that have the same slope

Answers

.............The answer is D
It’s c that will be your correct Awnser

pls help will give brainliest

Answers

Answer:

6. No solution

7.x=2; x=6

Step-by-step explanation:

AnswerNumber 6: M=3 Number 7: X=2 and X=6

Step-by-step explanation:

i put each number in until they worked and this is what i got

6x+7y+9
24xy
9x+7y+8
9x+7+6+2
5x+4x2y+5y+4+4

Answers

Answer:

40+33x+24xy

chile who gave you this problem?

how to factor 4x + 3 - 6x + 7

Answers

Answer:

im sorry if this is wrong if its what I was doing you have to switch 4x and 3 places Minusing 4x from 6x giving negative 2x or -2x then adding 3 to get 10 getting -2x + 10 or you could get -2x - 10

A and B, working together can finish a piece of work in 6 days, while A alone can do it in 9 days. How much time will B alone take to finish it?

Answers

answer:

b and a it will take 30
step by step explanation:

PLEASE HELP ME!!!!!!

Answers

Answer:

The second option is correct

Step-by-step explanation:

Here, we want to check which of the options is true of the plot

Now, let us take a look at the first option

When we talk of the slope in this case, we are simply talking of the amount he needs to save for each of the months

As we can see, for the initially, he had 900 to save, so what this mean is that at the very beginning, the amount of money he had to save is 900

Hence, the total money he had to save is $900 and this makes the second option correct

The corners of a triangle garden are marked with trees at coordinates (0,3),(3,0), and (4,3). Let a denote the area of the garden, in square units. Which of the following is true?

Answers

Given:

Three corner points of a triangular garden are (0,3),(3,0), and (4,3).

To find:

The area of the garden.

Solution:

We know that, area of a triangle is

[tex]A=\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]

Let a denote the area of the garden, in square units.

Three vertices of the triangular garden are (0,3),(3,0), and (4,3). So, area of the triangular garden is

[tex]a=\dfrac{1}{2}|0(0-3)+3(3-3)+4(3-0)|[/tex]

[tex]a=\dfrac{1}{2}|0(-3)+3(0)+4(3)|[/tex]

[tex]a=\dfrac{1}{2}|0+0+12|[/tex]

[tex]a=\dfrac{1}{2}\times 12[/tex]

[tex]a=6[/tex]

Therefore, the area of the garden is a=6 square units.

The equation of line t is y= -8/7x + 5. line u is perpendicular to t. what is the slope of line u?

Answers

Answer:

slope = 7/8

Step-by-step explanation:

perpendicular means line with opposite reciprocal slope  ( flip and change signs)

thus

slope of line t = -8/7

flip and change signs

7/8

NEED HELP WITH THIS 1 EASY MATH QUESTION, WILL GIVE BRAINLIST! The answer options are 510, 364, 162 and 2028. please help need this NOW! asap.

Answers

Answer:

Sorry bro, Even I need to know this anwer

Step-by-step explanation:

Answer:

The lateral surface area is 510 [tex]ft^{2}[/tex]

Step-by-step explanation:

The lateral surface area is the area of the "tunnel" part of the triangle

is 20 even or odd thanks to anyone who help

Answers

Answer:

i think its odd sry if im worng

Step-by-step explanation:

jkjk its even

Answer:

20 is even because it can be split in half 10+10=20

Step-by-step explanation:

ASAP can someone help I need to turn this in by tonight 11:59.​

Answers

Answer:

D = 60.25m

Step-by-step explanation:

someone HELP
whats the value of -0.25÷(0.2÷-0.5)

Answers

Answer:

0.625

Step-by-step explanation:

PEMDAS

First work in the parenthesis.Divide 0.2/-0.5

That equals -0.4

Then Divide -0.25/-0.4

That equals=0.625

Brainliest if correct

Write an equation of the line given

Answers

Y=2x -3

Slope is positive 2(up 2, right 1)
First point/ y intercept is -3

Answer: y=2x+1

Step-by-step explanation:

Select ALL the true statements
a. Two squares with the same side lengths are always congruent.
b. Two rectangles with the same side lengths are always congruent.
c. Two rhombuses with the same side lengths are always congruent.
d. Two parallelograms with the same side lengths are always congruent.

Answers

Answer:

a

b

c

d

Step-by-step explanation:

balshdhsbwwqzhwhw

85 points! Sketch the following image on a blank piece of paper and rotate triangle ABC 80 degrees. 1st pic attached: is the triangle and 2nd pic attached is what I drew.... did i do it right?

Answers

Answer:

Step-by-step explanation:

It can never be perfect, but what I see, I think yes, because u didn't rotate it 90 degrees since it's not a right triangle, but u did rotate it where it looks close to 90 degrees, so it does look like its 80 degrees as a rotation. Question, does it not say how to rotate it? Like 80 degrees clockwise, or 80 degrees counterclockwise?

Hope this helped!

Solve for b
-11b+7 = 40

Answers

Answer:

b=-3

Step-by-step explanation:

-11b+7=40

-7         -7

-11b=40-7

-11b=33

-11b/-11=33/-11

b=-3

CHECK:

-11b+7 = 40

Substitute -3 for b:

-11(-3)+7=40

Solve:

33+7=40

40=40

Therefore b does in fact equal -3.

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!!

Marissa wants to sort 80 beads into 2 cases. The red case has 6 compartments, and the blue case has 8 compartments. How can she sort the beads so the compartments in each case hold the same number of beads and none are left over?

Answers

Answer:

5.7 beads

Step-by-step explanation:

Marissa wants to sort 80 beads into 2 cases. The red case has 6 compartments, and the blue case has 8 compartments.

We are told in the Question that:

the compartments in each case hold the same number of beads and none are left over

Hence, let the number of beads in each compartments = x

Therefore:

8x + 6x = 80 beads

14x= 80 beads

x = 80 beads/14

x = 5.7142857143 beads

x ≈ 5.7 beads

Hence, she can sort the beads into 5.7 beads per compartments

Answer:

chose any thang

Step-by-step explanation:

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