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

Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare.

Answers

Answer:

The answer is "[tex]m=4(25)+2(5)\\\\[/tex]".

Step-by-step explanation:

Please find the complete question in the attached file.

A party of 20 adults and 5 children needs 90 meatballs. A party with 25 adults and 5 children needs 110 meatballs.[tex]\to m=4(20)+2(5)\\\\\to m=80+10\\\\\to m=90\\\\\text{The final answer is : }\bold{ m=4(20)+2(5)}[/tex]

GEOMETRY 10TH GRADE HELP ASAP!!!

Answers

Answer:

Step-by-step explanation:

if y varies directly with x and y=60 when x =15 find k and write an equation of direct variation

Answers

Answer:

k=45

equation: y=x+45

Step-by-step explanation:

60=15+k

substract 15 on both sides to get 45=k

I thought I lost my account

Anyways, who made pythagorean theorem

Answers

Answer: Nevertheless, the theorem came to be credited to Pythagoras. It is also proposition number 47 from Book I of Euclid's Elements. According to the Syrian historian Iamblichus (c. 250–330 ce), Pythagoras was introduced to mathematics by Thales of Miletus and his pupil Anaximander.

Step-by-step explanation:

PLEASE HELP PLEASE YOU DONT KNOW HOW MUCH THIS MEANS TO ME

Answers

Answer:

A is the correct answer to the problem

The correct answer would be A

Someone help me on these two problems pleaseee ASAPP

Answers

Answer:

left side = 23.7

right side = 3.6

Step-by-step explanation:

ASAP, REALLY EASY If x = -3 then what is -x

Answers

Answer:

3

because it says -3

so yeah

atleast i hope Im so bad at math

-3

Please heart this I need to get closer to earning the message in brainly !!

7/8•1/2??? I can’t do it in my head put it in fraction from please

Answers

Answer:

[tex]\frac{7}{16}[/tex]

Step-by-step explanation:

[tex]\frac{7}{8}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{7}{16}[/tex]

7 x 1 = 7

8 x 2 = 16

Let me know if this helps!

Jaylen and six of her younger siblings have ages that are consecutive. When they moved from San Francisco to Chicago, their ages (all seven of them) added up to 91. How old was Jaylen when they moved? Explain your thinking.

Answers

Answer:

Jaylen was 16 years old. She's the oldest.

Step-by-step explanation:

16  Jaylen

15  sibling 1

14  sibling 2

13  sibling 3

12 sibling 4

11  sibling 5

10  sibling 6

____________

91  Total

My thinking was that I started out dividing 91 by 7. That came out 13. So I knew the oldest one had to be older than 13.

whats 36 x 25? A.800 B.500 C.300 D.900 this is only for someone to get brainliest.

Answers

Answer:

It would be 900

Step-by-step explanation:

I hope this helps!

Answer:

The answer is 900(D).......

18.Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a total of 11 items. The system of equations can be used to determine how many of each item they bought.

Answers

Answer:

bags of snack = x = 6

bottles of water = y = 5

Step-by-step explanation:

The system of equations can be used to determine how many of each item they bought.

20.00=2.50x+1.00y

11=x+y

how many bags of snack mix did they buy?

Let

bags of snack = x

bottles of water = y

20.00 = 2.50x + 1.00y (1)

11 = x + y (2)

From (2)

x = 11 - y

Substitute x = 11 - y into (1)

20.00 = 2.50x + 1.00y

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00 - 27.5 = -2.50y + 1.00y

-7.5 = -1.5y

y = -7.5/-1.5

y = 5

Substitute y = 5 into (2)

11 = x + y

11 = x + 5

11 - 5 = x

x = 6

bags of snack = x = 6

bottles of water = y = 5

if the opposite angle of rhombus are (2x)°and (3x-40°) then what is the value of x?

Options :
A. 100°
B.80°
C.160°
D.40°​

Answers

C I don’t know actually

Which fraction is a name for the point that is labeled with the question mark on the number line?
A) 4/8
B) 3/4
C) 1/4
D) 2/4

Answers

Answer:

The awnser is C it is 2/8 simplified to 1/4

Step-by-step explanation:

Jasper's Pizzeria made 10 pizzas. 2 of the pizzas had pepperoni. What is the ratio of the number of pizzas without pepperoni to the number of pizzas with pepperoni?

Answers

8:2 I’m pretty sure is correct :D

Sooo... WHy does everyone get so mad over links? Are those not allowed???

Answers

A lot of people don't trust random links from strangers

PLEASE HELP!! Find the missing side of this right triangle
X
8
16
x=[?]

Answers

Answer:

The square root of 192

Step-by-step explanation:

It's just the Pythagoras theorem p much

The square foot is 192

Find the solution of the system of equations.
15x – 4y = -50
3x – 2y = –16

Answers

Answer:

x=-2, y=5. (-2, 5).

Step-by-step explanation:

15x-4y=-50

3x-2y=-16

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

15x-4y=-50

-5(3x-2y)=-5(-16)

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

15x-4y=-50

-15x+10y=80

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

6y=30

y=30/6

y=5

3x-2(5)=-16

3x-10=-16

3x=-16+10

3x=-6

x=-6/3

x=-2

PLEASE HELP!! - MULTIPLE CHOICE - 10 POINTS - YOU WILL GET BRAINLIST - MATH

Answers

Answer:

no picture srry man

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

First, you can see that it's a right angle. so 90 - 42 is 48.

measure of angle C is 48

Please help
If you currently make 3200 per month and you are given a raise to 3400 per month, what is the percent change of your salary?

Answers

Answer:

6.25%

Step-by-step explanation:

% change= (chnage/original salary) × 100%

Change = new salary - original salary

Hence = 3400-3200=200

% change= (200/3200)×100%= 6.25%

Trent attaches his A+ test to the refrigerator with a circular magnet. Out of curiosity, he measures the magnet and calculates that it has a diameter of 4 centimeters. What is the magnet's area?

Answers

Answer:

12.6 cm²

Step-by-step explanation:

From the above question, the magnet is circular in shape

The area of a circle is given as:

= πr²

The area of the magnet = π × r²

Diameter = 4cm

r = Diameter/2 = 4cm/2 = 2cm

= π × (2cm)²

= 12.566370614cm²

Approximately = 12.6 cm²

The area of the magnet = 12.6cm²

help please. !!!! help please. !!!! help please. !!!!

Answers

Answer:

1=8

2=25

3=isosceles

4=no traingle can be formed

Explain how to simplify the rational expression x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8. (be sure to include the simplified rational expression)

Answers

Answer:

267x2 -8x -8 where

x=- 4± 2√ 538/267

Step-by-step explanation:

x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8

= x2  -89x2 - 16x2 - 163x2  - 2x+ 10 x + 8

= -267x2+8x +8

= 267x2 -8x -8

First the like terms are arranged and then added . All the co efficients of x2 are added and x are added separately.

Using the quadratic equation to find the value of x

a= 267 , b= -8 and c= -8

x= -b±√b²- 4ac/ 2a

x= -8±√64 +8544/534

x= -8±√8608/534

x=-8±√ 2 x 2 x 2 x 2 x 2 x 269/534

x=-8± 4√ 2 x 269/534

x=- 4± 2√ 2 x 269/267

x=- 4± 2√ 538/267

what's -8x is less than or equal to 56

Answers

Answer:

x ≥ - 7

Step-by-step explanation:

Given

- 8x ≤ 56

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x ≥ - 7

If 2% of a number equals 9, find 4% of that number.

Answers

Answer:

18

Step-by-step explanation:

The number you are getting the percent from is 450

if 14 men can cultivate 42acres of land in 18weeks, how many weeks will 21 men working at the same rate take to cultivate 56 acres of land​

Answers

Answer:

16 weeks

Step-by-step explanation:

Please answer correctly! I will mark you as Brainliest!

Answers

Answer:

Volume=8

Step-by-step explanation:

[tex]volume[/tex]⇒[tex]\frac{1}{3}[/tex]×[tex](\frac{1}{2}[/tex]×[tex]3[/tex]×[tex]4^{2}[/tex]×[tex]4)[/tex]

⇒[tex]\frac{1}{3}[/tex]×[tex]3[/tex]×[tex]8[/tex]

[tex]Answer:8[/tex]

hope it helps...

have a great day!!!

h e l p
Zayn plans to deposit $850 into a savings account that pays 2.4% interest compounded annually. Angelo plans to deposit $860 into an account that pays 2.4% simple interest. They both plan to leave the money invested for 4 years. How much more money will Zayn have than Angelo at the end of the 4 years?

Answers

Answer:

Zayn= $928.72

Angelo= $880.64

Zayn has 48.08 more than Angelo.

Step-by-step explanation:

Answer:

zayn- 934.58

angelo- 880.64

Step-by-step explanation:

Amy had $28 dollar’s to spend on school supplies. After buying 7 pens, she had $20.30 left. How much did each pen cost including tax?

Answers

Answer:

Step-by-step explanation:

If Amy started with 28 dollars and bought 7 pens, then had 20.30 dollars, we can subtract to find the price of all 7 pens.

28-20.30=7.70 dollars

now to find the amount for EACH pen, we divide by 7

7.70/7=1.1

each pen costed Amy 1 dollar and 10 cents with tax

Answer:

$1.10

Step-by-step explanation:

$28-$20.30=$7.70

7.70 divided by 7= 1.10

so each pen must cost $1.10

What is the standard form of the nymber 6.7321 * 108?
A. 6,732,100,000
B. 673,210,000
C. 67,321,000
D. 6,732,100

Answers

Answer:

673,210,000

Step-by-step explanation:

The given number is :

N = 6.7321 × 10⁸

We need to write it into the standard form.

10⁸ = 100000000

It can be calculated as follows :

6.7321 × 100000000 = [tex]\dfrac{67321 }{10000}\times 100000000[/tex]

= 673,210,000

So, the standard form of the given number is 673,210,000. Hence, the correct option is (c).

What is an equation of the line that passes through the point (-1,-3) and is parallel to the line 4x-y=2

Its not y=4x+11 that was incorrect

Answers

Answer:

y=4x+1

Step-by-step explanation:

1. 4x-y=2

  -y=-4x+2   divide both sides by -1

  y=4x-2

2. y-y1=m(x-x1)

   y-(-3)=4(x-(-1))

    y+3=4x+4

    y=4x+4-3

    y=4x+1

Parallel lines have the same, so the equation we are making should have the slope of 4.

 

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