Each interior angle of a regular polygon is 100 degrees larger than the exterior angle determine the number of sides of the polygon

Answers

Answer 1

Answer:

9 sides

Step-by-step explanation:

Each interior angle of a regular polygon is 100 degrees larger than the exterior angle determine the number of sides of the polygon

Interior angle + exterior angle =

180°

Let x be the exterior angle.

Exterior angle = 180-x = 100 + x

= 180 - 100 = x + x

80 = 2x

x = 80/2

x = 40

Number of sides of the polygon =

= 360°/Exterior angle

Exterior angle = 40°

= 360/40 = 9 sides


Related Questions

can someone help me with a few of these?

Answers

Answer:

can you please tell us which ones?

Step-by-step explanation:

12. a²+b²=c²

7²+b²= 8²

49+b²=64

b²=64-49

b²= 15

Sq root both sides

b or well X=3.87

13. 4²+x²=8²

16+ײ=64

ײ=48

Sq root both sides

x=6.93

1.) Phoebe has a hunch that older students at her high school are more likely to bring
a bag lunch than younger students, because they have grown tired of cafeteria
food. she takes a simple random sample of 80 sophomores and finds that 52 of
them bring a bag lunch. a simple random sample of 104 seniors reveals that 78 of
them bring a bag lunch. Does this data provide convincing evidence to support
Pheobe's hunch at the 5% significant level?

2.)Interpret the P-value in context

Answers

The data in this experiment is not convincing enough to prove the hypothesis.

What is convincing evidence?

In an experiment, convincing evidence means the data collected is relevant and accurate enough to prove the hypothesis. For the data to be considered convincing it should:

Prove the hypothesis: This condition is satisfied because the data collected can prove older students are more likely to bring a bag lunch.Be collected using random samples: This condition is satisfied because students were selected randomly.Consider the standard or norma: This condition is met because the research compares the number of sophomore students that bring a bag lunch vs the number of seniors.7

Moreover, the P-value should be always smaller than the significant level. In the case of this study, the P-value is 0.069, which means it is greater than the significant level 0.05 and this causes the data is not convincing enough.

Learn more about experiments in: https://brainly.com/question/10634282

The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the mode?

Answers

Answer:

Mode is 20.

Step-by-step explanation:

Mode is the value or values in the data set that occurs most frequently.

{12, 12.50, 13, 18.50, 20, 20}

20 is the number that occurs most frequently.

hope this helps and is right :)

The value of 3^4+5•5=

Answers

Answer:

106

Step-by-step explanation:

3^4=81

5·5=25

81+25=106

please help! thanks!!!

Answers

Answer:

27.5 = CE

Step-by-step explanation:

The two triangles should be similar to each other, so we can set up a ratio of 15:6. This gives us a final ratio of 2.5:1 Multiply EA = 11 by 2.5 to find its corresponding side measure

11*2.5 = 27.5

Oliver uses 30 fruits to make a large batch of pineapple-orange juice. He uses 5 oranges for every 1 pineapple. He gets 2.5 fl oz of juice from each orange and 20 fl oz of juice from each pineapple​

Answers

Answer:

isnt like 40 the answer (im sorry if im wrong 3rd grader)

Step-by-step explanation:

A triangle has a 90° angle. What type of triangle is it?

A) Acute triangle
B) Right triangle
C) Equilateral triangle
D) Isosceles triangle

Answers

Answer:

B) Right triangle

Step-by-step explanation:

Only right triangles have an angle that's 90°.

it is a right triangle...

Solve for . 3 = 8x - 5 (3x + 5)​

Answers

Answer:

x= -4

Step-by-step explanation:

3=8x-5(3x+5)

distribute

3=8x-15x-25

combime like factors

28= -7x

divide 28/ -7

x= -4

guyss help plss i need serious answer I'm buriéd with work plss beg :(​

Answers

Answer:

solution given:

B.

CE=2×2=4[base side is double to the line of mid point]

AB=15/2=7.5[b is a mid point]

m<AEC=75°[ corresponding angle]

5.

given:

BD=x+1

CE=x+10

we have

2BD=CE

2(x+1)=x+10

2x+2=x+10

2x-x=10-2

x=8

substitute the value of (p) you just found, 285.7, into one of the equations in the system

Answers

Answer: 214.28

Step-by-step explanation:

whts 3/7 + 1/4
will give 30 points and brainliest

Answers

Answer:

3/7 + 1/4 = 19/28

Step-by-step explanation:

All you gotta do is add 3/7 + 1/4 which equals to 19/28.

Hope this helps! :)

the table shows the cost of downloading songs from a web site

Answers

Answer:

I dont see a table :/

Step-by-step explanation:

The table doesn’t seem to be showing up, please try again so I could help you out :)

Please explain and show details I’ll give 50 points

Answers

Answer:

1) $575

2) They'll markup the price by $3,240. After the markup, the retail price is $15,240

Step-by-step explanation:

1)

6% = 0.06

3750(0.06) = 225

225 + 350 = 575

2)

27% = 0.27

12000(0.27) = 3240

Profit = 3240

Price for retailer =  Cost Price +  Profit

Price for retailer = 12000 + 3240

Price for retailer = 15,240

Please help. I do not know this.
NO LINKS AND DONT USE ME FOR POINTS

Answers

Answer:

87°F = 30.5556°C

36°C = 96.8°C

HELP plsssssssss!!!!!

Answers

Answer:

AA

Step-by-step explanation:

∠N and ∠E = 44°

∠A equals ∠A at 33°

help me!!!!!!! asap !!!!!

Answers

Answer:

Yes it is a function.

Step-by-step explanation:

It's a function because each input is paired with only one output.

hope this helps and is right :)

Find the value , i got 8 but not in options pls confirm​

Answers

Answer:

E

Step-by-step explanation

24/7+2 = 38/7

if you plus them they are the same

Use the drop-down menu to complete the following sentence. The value of the expression 3^-4×3^-5 is

Answers

Answer:

3^-9 (0.0000508...)

Explanation:

3^-4 • 3^-5

Since the base is the same, add exponents

3^ -4 + -5

3^-9

My brain cells can never with highschool geometry, help

Answers

Answer:

4

Step-by-step explanation:

Come on mate this is easy

small square = 1

triangles = 1 too

big triangles = triangles + 2 so big triangles = 2

2+1+1 = 4 -_-

hi please help i’ll give brainliest

Answers

Answer:

B

Step-by-step explanation:

please give brainiest I am in need of it

Answer:

The answer is D

Step-by-step explanation:

26 beats in 1/6 minutes equals what beats per minute

Answers

Answer:

156

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

26 for every 1/6

So we multiply 26 times 6 to get the full minute

A car moving at a constant speed passed a timing device at t= 0. After 8 seconds, the car has
traveled 752 ft. Write a linear function rule to model the distance in feet d the car has traveled any
number of seconds t after passing the timing device.
The linear function rule is d =

Answers

Answer:

d = 94t

Step-by-step explanation:

The rate of speed is 752 ft / 8 sec = 94 ft/sec

d = 94t

The ratio of cars to trucks in a parking lot was 5:2. The ratio of trucks to bicycles in the parking lot was 1:4. If there were 20 cars in the lot, how many bicycles were in the lot

Answers

Answer:

16 Bicycles

Step-by-step explanation:

16 bikes I think
Hope this helps

NEED HELP ASAP!!! Which of the following shows the prime factorization of 72 using exponential notation?

A) 8x9

B)2^2 x 3^2

C)2 x 6^2

D)2^3 x 3^2

Answers

Answer:

D)2^3 x 3^2

Step-by-step explanation:

2 x 2 x 2 = 8

3 x 3 = 9

8 x 9 = 72

Bridget drew ΔYZ and Δ′ ′ ′ on a coordinate plane, as shown below.

Which statement about the relationship between ΔYZ and Δ′ ′ ′ is true?

A: Δ′ ′ ′ is NOT a translation of ΔXYZ because not all points contained in Δ′ ′ ′ have negative x-coordinates.

B: Δ′ ′ ′ is a translation of ΔXYZ because their corresponding sides are parallel.

C: Δ′ ′ ′ is a translation of ΔXYZ because all points in Δ′ ′ ′ are the same distance and direction from the corresponding points in ΔXYZ.

D: Δ′ ′ ′ is NOT a translation of ΔXYZ because the y-coordinate of Point is not the same as the y-coordinate of point ′.

Answers

Answer:

The statement that is true about the relationship between ΔXYZ and ΔX'Y'Z' is option "C"

C. ΔX'Y'Z' is a translation of ΔXYZ because all points in ΔX'Y'Z' are the same distance and direction from the corresponding points in ΔXYZ

Step-by-step explanation:

The triangles Bridget drew are;

ΔXYZ and ΔX'Y'Z'

The coordinates of ΔXYZ = X(-5, 7), Y(-9, 2), Z(-3, 2)

The coordinates of ΔX'Y'Z' = X'(1, 2), Y'(-3, -3), Z'(3, -3)

From the coordinates we have;

The x-coordinates of ΔX'Y'Z' = The x-coordinates of ΔXYZ + 6

The y-coordinates of ΔX'Y'Z' = The y-coordinates of ΔXYZ - 5

Therefore, the translation that gives ΔX'Y'Z' from ΔXYZ = T₆, ₋₅

Therefore;

1) ΔX'Y'Z' is obtained from ΔXYZ by a translation as the points in ΔX'Y'Z' are obtained from ΔXYZ by adding the same value to the x-coordinates of the points on ΔXYZ and subtracting the same value to the y-coordinates of the points on ΔXYZ, such that the points in triangle ΔX'Y'Z' are equidistant from and on the same side relative to the corresponding points on ΔXYZ

2) Given that triangle ΔXYZ and ΔX'Y'Z' are not rotated or reflected, we have that the corresponding sides of ΔXYZ and ΔX'Y'Z' are parallel

The correct options are therefore option "C" and and the option "B" is only partially correct because the sides can be parallel but do not have the same size.

Please answer correctly! I will mark you as Brainliest!

Answers

Answer:

60 in³

Step-by-step explanation:

In a triangle

Area of the triangle

= 1/2 * base * height

= 1/2 * 4 * 3

= 6 in²

Height of the prism = 10 in

Volume of the prism

= Area of base * height

= 6 * 10

= 60 in³

Hope it will help :)❤

What is the value of y?

Answers

Answer:

B. 85

Step-by-step explanation:

I haven't taken Geometry in 2 years So I don't remember how to explain it.

Help fast as you can worth 7 points

Answers

Answer:

d

Step-by-step explanation:

Answer: B

Step-by-step explanation: you have to multiply the 4 and 2

What is the Mode? 21,28.27.26.27.27.33.28.26.31​

Answers

Answer:

The mode is 27.

Step-by-step explanation:

To find the mode we must first put them in order from least to greatest.

21, 26, 26, 27, 27, 27, 28, 28, 31, 33

The mode means the most common number out of the data.  Therefore since 27 is the most common number, it is the mode.

Hey there!

The mode is basically the number you see MORE THAN ONCE.

So, the numbers in your data plot is/are

“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”

(I’m assuming)

21 is shown ONE TIME

28 is shown TWO TIMES

27 is shown THREE TIMES

26 is shown TWO TIMES

33 is shown ONE TIME

31 is shown ONE TIME

THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times

Answer: 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

I dont know how to solve this question can someone help

Answers

Answer:

B. $102.20 on the second day

* if refering to dues in all it would be D. $219.00

Step-by-step explanation:

1. 15 -8 = 7 remaining members

2. 7* the monthly dues - 7*14.60 = $102.20

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