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

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

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

The sum of exterior angles is 360° regardless the number of sides.

Each exterior angle of n-sided polygon is:

360°/n
Answer 2
Every polygon has fixed sum of exterior angles i.e 360°.

If no of sides be s

Measure of each exterior angle

360/s


Related Questions

Sandra went for pizza with friends. She ordered a slice of pizza with a side salad for $9. 50. The tax was 6. 2%. What was the total amount Sandra paid for her meal? Enter your answer in the box.

Answers

Percentage represents a part of a whole. The total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.

What is the percentage?

The percentage is a way to represent a part of a whole. for example, one-fourth of an area A can be written like 25% of A(0.25 A).

Give to us

Sandra ordered a slice of pizza with a side salad for $9.50.

The tax was 6. 2%.

The amount of tax that Sandra needs to pay,

[tex]6.2\%\ of\ \$9.50\\\\=0.062 \times 9.50\\\\= \$0.589[/tex]

As we know that tax is the extra cost that we need to pay, therefore, the total amount Sandra needs to pay,

Total Amount = Cost + tax

                       = $9.50 + $0.589

                       = $10.089 ≈ $10.09

Hence, the total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.

Learn more about Percentage:

https://brainly.com/question/6972121

18) Mr. Smith travels 280 miles in 4 hours.
How far can he go in 6.5 hours?

Answers

Answer:

here's your answer hope it helps you

Step-by-step explanation:

distance= speed*time

speed=70 miles per hour(280 in 4 hrs so divide)

time= 6.5 hour

distance=70×6.5 miles

distance=455.0 miles

18
N
h
30°
450
W
y
27
972
93
18

Answers

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

Which statement about f(x) and its translation, g(x), is true? The domain of g(x) is {x | x > 6}, and the domain of f(x) is {x | x > 0}. The domain of g(x) is {y | y > 0}, and the domain of f(x) is {y | y > 6}. The asymptote of g(x) is the asymptote of f(x) shifted six units down. The asymptote of g(x) is the asymptote of f(x) shifted six units up.

Answers

The correct statement about f(x) is the asymptote of g(x) is the asymptote of f(x) shifted six units up.

The given functions are;

F(x) = 7x

g(x) = 7x + 6

Parent function

A parent function is the simplest function that still satisfies the definition of a certain type of function.

We can see that 6 has been added to the function f(x) to get the function g(x).

We know that when we add some constant 'c' in the function then the function gets shifted upward by 'c' units.

Therefore, we will get g(x), when we will shift f(x) upward by 6 units.

Both functions are linear functions hence, the asymptote of g(x) is the asymptote of f(x) shifted six units up.

Hence, the correct statement about f(x) is the asymptote of g(x) is the asymptote of f(x) shifted six units up.

To know more about the parent function click the link given below.

https://brainly.com/question/18599661

Answer:

d The asymptote of g(x) is the asymptote of f(x) shifted six units up.

Step-by-step explanation:

Karl has 200 coins in a jar. Nickles make up 10% of the coins in the jar, pennies make up 60% of the coins in the jar. All the coins in the jar are pennies, nickles, or dimes.

1) How many of the coins are nickles?

2) How many of the coins are dimes?

3) If Karl removes 100 pennies from the jar, then what percent of the remaining coins in the jar would be pennies?

PLEASEEEE HELP ASAP!!!!!!!!!!!! IT WOULD MAKE MY LIFE!!!

Answers

Answer:

We know that there are 200 coins

10 percent of the coins in the jar are nickels.

60 percent of the jar are pennies.
So how many nickels, dimes, and pennies.

Let’s break this down.
So 200 coins  and 60 percent are pennies.
so lets find pennies first, so remeber percent means “out of a hundred” so 60 percent is really 60/100 or 0.6. Multiply 0.6 by 200 and you’d get 120 pennies.

120 pennies

Now 10 percent fo the coins in the jar are nickels. Same thing, 10 percent is basically 10/100 or 0.1.  0.1 * 200 is 20.

(1) 20 nickels

Now we know that there are 120 pennies and 20 nickels. The remaining is 60 coins left which has to be dimes.

2) 60 dimes.

Now if Karl removes 100 pennies, what would the percentage be. Now there were 120 pennies. So 120-100= 20. There’d be 20 pennies left.
We have to find the percentage but remember its 100 coins gone too so.
200-100=100
So it’s asking what percent of 100 is 20. Which should be pretty simple to look at (only in this situation or any other easily definable benchmarks).

3) 20 percent are pennies.

Hope it helped?
*brainly is appreciated*

Help me awnser these questions please

Answers

Answer: y=x-1

General equation of linear function: [tex]y=mx+b[/tex]

A(-1;0); x=-1, y=0

B(0;-1); x=0, y=-1

Let's solve the system of equations

[tex]\displaystyle\\\left \{ {{0=-1m+b} \atop {-1=0x+b}} \right. =>b=-1=>0=-m-1;m=-1[/tex]

How to solve:
3*9^(2n) = (3^(n +1))^3

Answers

3×9
n+1
−9×3
2n




=
3×3
2n+3
−(3
2
)
n+1

3×(3
2
)
n+1
−3
2
×3
2n




=
3
1+2n+3
−3
2n+2

3
1+2n+2
−3
2+2n




=
3
4+2n
−3
2n+2

3
3+2n
−3
2+2n




=
3
2n
(3
4
−3
2
)
3
2n
(3
3
−3
2
)



=
81−9
27−9



=
72
18



=
4
1

Answer:

3

Step-by-step explanation:

3*9^(2n) = (3^(n +1))^3

= 3×9^0^3

= 3×9^0

= 3×1

= 3

i bought 16 cupcakes and then last week i bought 9 keep the pattern going

PLEASE I WILL GIVE BRAINLY

Answers

Answer:

25

Step-by-step explanation:

Help!!! ASAP!!!!



Please help me!!!

No wrong answers!!!

Answers

Answer:

*

Step-by-step explanation:

Pattern A: is adding 2 dots each time

Pattern B: is going up 1,2,3,4 (adding that amount each time)

Pattern C: Times by 3 each time

What are the steps to (5xy^3)^2(xy)^4?

Answers

Answer:

25x^6 y^10

Step-by-step explanation:

Simply: (5xy^3)^2: 25x^2 y^6

25x^2 y^6 (xy)^4

Apply exponent rule: (a * b)^n = a^n b^n

(xy)^4 = x^4 y^4

25x^2 y^6 x^4 y^4

Simply: x^2 x^4: y^10

25x^6 y^6 y^4

Simply: y^6 y^4: y^10

25x^6 y^10

80 POINTS

Gavin is moving into a new apartment that has a kitchen with an area of 50 square feet. If the area of the kitchen is 10 square feet more than the area of the bedroom, what is the area of the bedroom?

Complete the steps below to find the area of Gavin’s bedroom.

Part A
Let the variable b represent the area of the bedroom. Write an equation in terms of b to represent Gavin’s situation.

Part B
What is the first step in solving the equation you wrote in part A? Explain.

Part C
Rewrite the equation from part A to complete the first step.

Part D
What is the second step in solving the equation you wrote in part A? Explain.

Part E
Rewrite the equation from part C to complete the second step.

Part F
Recall the method that the video showed to solve Gavin’s word problem. The video showed how we can use numerical expressions (with the help of a diagram) to arrive at a solution.

Compare the expression method from the video with the equation method that uses the variable b. Do both methods use the same sequence of operations?

Part G
What does your answer to part F imply? Explain.

Answers

Answer:

40

Step-by-step explanation:

A. 50 - 10 = b

B. Finding the equivalence is the first step

C. b = 40

D. Subtracting 10 from 50

E. Already did b = 40

F. Yes, they both work the same way.

G. you have choices to make to get the right answer.

What is the volume in cubic cm of this cone????

Answers

Answer:

113.04 cm³

Step-by-step explanation:

Volume = [tex]\frac{\pi r^2h}{3}[/tex]

Solve:

[tex]\frac{\pi3^2(12)}{3}[/tex][tex]\frac{\pi(9)(12)}{3}[/tex][tex]\frac{108\pi}{3}[/tex][tex]36\pi\\[/tex][tex]36(3.14)[/tex][tex]113.04[/tex]

-Chetan K

how do you convert 1.5cm2 into mm2 ​

Answers

Answer: 150mm squared

Step-by-step explanation:

Multiply by 100

Answer:

150mm²

Step-by-step explanation:

[tex]here,\\ (1.5*100)mm^{2} =150mm^{2}[/tex]

There are 150 adults and 225 children at a zoo. If the zoo makes a total of $5100 from the
entrance fees, and the cost of an adult and a child to attend is $31 dollars, how much does it cost each
for a parent and a child?

Answers

Answer:

It costs $25 for a parent and $6 for a child

Step-by-step explanation:

Let x be the cost it takes for an adult to enter, and y be the cost it takes for a child to enter then...

x+y=31

150x+225y=5100

We can write the first equation in terms of x by subtracting y from both sides...

x=31-y

Now, we can solve the system of equations by substitution (substitute 31-y for x)...

150(31-y)+225y=5100

Distribute the 150 to the terms inside of the parentheses

150(31)-150(y)+225y=5100

   4650-150y+225y=5100

Combine like terms

4650+75y=5100

Subtract 4650 from both sides

75y=450

Divide both sides by 75

y=6

Plug 6 back in for y to solve for x:

x=31-y=31-6=25

It costs $25 for a parent and $6 for a child

4(3y-9) can be written as ?

Answers

Hey there!

4(3y - 9)


DISTRIBUTE 4 WITHIN the PARENTHESES

= 4(3y) + 4(-9)


= 12y - 36


Therefore, your answer is: 12y - 36


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Answer:

[tex]4(3y - 9) = (4 \times 3y) - (4 \times 9) [/tex]

[tex]= 12y - 36[/tex]

can someone please help me?

Answers

Answer:

2. x = 3

3. x = 10 and y =2

Step-by-step explanation:

2.

From inspection, we can see that EF = 10 and KL = 5

Therefore the ratio KL : EF = 5 : 10 = 5/10 = 1/2

This means that the side measures of ΔJKL are 1/2 the corresponding side measures of ΔGEF

Therefore, if GF = 22, then JL = 22 ÷ 2 = 11

So:  2x + 5 = 11

⇒  2x = 11 - 5 = 6

⇒ x = 6 ÷ 2 = 3

x = 3

3.

From inspection, we can see that DF = 12 and HJ = 9

Therefore the ratio DF : HJ = 12 : 9 = 12/9 = 4/3

This means that the side measures of ΔDEF are 4/3 times the corresponding side measures of ΔHGJ

Therefore, if HG = 6, then DE = 6 x 4/3 = 8

So:  2y + 4 = 8

⇒  2y = 8 - 4 = 4

⇒ y = 4 ÷ 2 = 2

y = 2

Similarly, if GJ = 24, then EF = 24 x 4/3 = 32

So:  4x - 8 = 32

⇒  4x = 32 + 8 = 40

⇒ x = 40 ÷ 4 = 10

x = 10

help pls i beg you

with steps​

Answers

Answer:

b) 1990659

Step-by-step explanation:

b) 9*9*9*9=6561, 12*12*12=1728, 8*8*8*8=4096 / 12*12=729, 2*2*2*2*2=32. 6561*1728*4096/729*32=1990656

Mario delivered 95 newspapers in 2 hours.  If that rate continued, how many newspapers could we expect him to deliver in 5 hours?

Answers

Answer:

if he delivers 95 newspapers in 2 hours it means that he can deliver 190 in 4 hours, sadly if we were to find out how much he can do per hour he would do 47.5 so this would mean that he would do 237.5 we can round this up to 238, we could expect him to deliver 238 newspapers

4/7 and 3/10 with same denomiator

Answers

Answer:

4/7 = 40/70

3/10 = 21/70

Step-by-step explanation:

complete the table of values when x+2y equals 7

Answers

Answer:

x=7-2y

Step-by-step explanation:

I reallyyyy need help on this!!!! Can someone Help out??

Answers

Answer:

(4,5)

Step-by-step explanation:

To begin, we'll solve for y in the first equation.

-y = 3 - 2x

y = 2x - 3

Then, plug this in for y in the second equation.

9x - 6(2x-3) = 6

9x - 12x + 18 = 6

-3x = -12

x = -12/-3

x = 4

Then, you just plug your x value into one of the equations and solve for y. Personally, I think it's easiest to plug it into y = 2x - 3

y = 2(4) - 3

y = 8 - 3

y = 5

[tex]\bold{\huge{\purple{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given:-}}[/tex]

We have given two equations that is 2x - y = 3 and 9x - 6y = 6

[tex]\bold{\underline{ Let's \: Begin :-}}[/tex]

[tex]\sf{ 2x - y = 3 ...eq( 1 )}[/tex]

[tex]\sf{ 9x - 6y = 6 ...eq( 2 )}[/tex]

Solving eq( 1 ) :-

[tex]\sf{ 2x - y = 3 }[/tex]

[tex]\sf{ x = 3 + y/2 ...eq(3 )}[/tex]

Subsitute eq( 3 ) in eq( 2) :-

[tex]\sf{ 9(3 + y/2) - 6y = 6}[/tex]

[tex]\sf{ 27 + 9y/2 - 6y = 6}[/tex]

[tex]\sf{ 27 + 9y - 12y/2= 6}[/tex]

[tex]\sf{ 27 + - 3y = 6 × 2 }[/tex]

[tex]\sf{ - 3y = 12 - 27 }[/tex]

[tex]\sf{ - 3y = - 15 }[/tex]

[tex]\sf{ y = -15/-3}[/tex]

[tex]\sf{ y = 5 }[/tex]

[tex]\sf{\red {Thus, \: the\: value\: of \:y \: is\: 5 }}[/tex]

Now, Subsitute value of x in eq( 3) :-

[tex]\sf{ x = 3 + 5/2 }[/tex]

[tex]\sf{ x = 8/2 }[/tex]

[tex]\sf{ x = 4}[/tex]

[tex]\sf{\pink{Hence , \: the\: value\: of\:x\:and \:y \: is\: 4 \: and \: 5 .}}[/tex]

Suppose a charity received a donation of $24.6 million. If this represents 49% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.

Answers

Answer:

73.6

Step-by-step explanation:

this is an addition question so we're going to answer it with an equation let's put 24.6 + 49 =73.6

ginger still has 40% of her book to read. if she has read 180 pages, how many pages does she still have to read?

Answers

Answer:

Ginger still has 40 percent of her book to read. If she has read 180 pages, the number of pages she still have to read:

N = 180 x (100 - 40)/40 = 270 pages

60%

Step-by-step explanation:

Find the value of x. PLS HELP ASAP

Answers

Answer:

[tex] \sqrt{212} [/tex]

Step-by-step explanation:

[tex]( {2 \sqrt{5} })^{2} - {2}^{2} \\( 4 \times 5) - 4 \\ 20 - 4 \\ 16 \\ \sqrt{16 } = 4 \\ \\ {4}^{2} + {14}^{2} \\ 16 + 196 = 212 \\ \sqrt{212} [/tex]

1 - 2 + 5 - 2 + 5 x 2

Answers

Answer: 12

Step-by-step explanation:

Following PEMDAS, I’ll solve the multiplication first and then add or subtract the values from left to right.

1-2+5-2+5x2

1-2+5-2+10

-1+5-2+10

4-2+10

2+10

12

Answer:

12

Step-by-step explanation:

You need to use the order of operations, PEMDAS. It stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First, multiplication on 5x2 so now it is 1-2+5-2+10.

Next, is addition and subtraction. When it says left to right you are starting with the part of the equation closest to the left, so 1-2=-1. Then add five to get 4. Subtract 2 to get 2. Finally, add 10 to get 12.

Hope you get an A! <3

Can anyone help please

Answers

Answer: Money is the reason we exist.

Step-by-step explanation:

I will mark brainliest!!!! help me please

Answers

Answer:

  4n√(3n) +3√n -√(3n)

Step-by-step explanation:

The expression can be simplified, but terms cannot be combined.

  [tex]\sqrt{48n^3}+\sqrt{9n}-\sqrt{3n}=\sqrt{(4n)^2(3n)}+\sqrt{3^2n}-\sqrt{3n}\\\\=\boxed{4n\sqrt{3n}+3\sqrt{n}-\sqrt{3n}}[/tex]

An isosceles triangle has side lengths of 16, an altitude of x, and a base of 2x. Find the length of the base.

Answers

Answer:

Step-by-step explanation:

Since the altitude of an isosceles triangle drawn from its vertex angle bisects the base, we can use the pythagorean theorem to say that:

16^2 = x^2 + x^2

256 = 2x^2

128=x^2

x = 8sqrt2.

so the base has a length of 16sqrt2.

I need help, please pick the answers many that there the equivalent of 4(x + 1) + 7(x + 3)?

Answers

Answer:

B and C

Step-by-step explanation:

4(x+1) + 7(x+3)

4x + 4 + 7x + 21 <-- Choice B

11x + 25 <-- Choice C

Multiply & simplify: (3x - 2)^2

Answers

Mungkin Gini Kali Ya Kak

(3) × 2(2)

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)²

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

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4

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