what is the sum of the interior angles of a polygon shown below?

What Is The Sum Of The Interior Angles Of A Polygon Shown Below?

Answers

Answer 1

Answer: The sum of the interior angles of a polygon shown  in the picture is [tex]540^{\circ}[/tex].

Step-by-step explanation:

The given polygon is a regular pentagon having 5 sides.

The sum of the interior angles of a regular polygon is given by :-

[tex](n-2)\times180^{\circ}[/tex], wherer n= number of sides of the regular polygon.

Since it has 5 sides, then the sum of the interior angles of a polygon would be

[tex](5-2)\times180^{\circ}\\\\=3\times180^{\circ}\\\\=540^{\circ}[/tex]

Hence, the sum of the interior angles of a polygon shown  in the picture is [tex]540^{\circ}[/tex].


Related Questions

Diego has purchased a $159,000 home with a 30-year mortgage at 5.05%. He


can make a monthly payment of $1300. If he were to make this payment each


month, how long will it take him to pay off his mortgage?

Answers

Answer:122.3 days

Step-by-step explanation:

1300÷159,000= 122.3

Which equation represents the data in this function table?

OA) y = x + 3
OB) y = 3x
OC) x = y + 3
OD) x = 3y

Answers

Answer:

a

Step-by-step explanation:

because its easy

Answer:

its A, i did the qui on time for learning

Step-by-step explanation:

Use the combination method to solve for y: 5x + 3y = 12 and -5x + 4y = 16

y= 4
y= 0
y= -10
y= -4​

Answers

Answer:

y = 4

Step-by-step explanation:

We have,

5x + 3y = 12 ....(1)

and

-5x + 4y = 16 ....(2)

Adding equation (1) and (2),

0 + 7y = 28

or

7y = 28

Dividing both sides by 7,

y = 4

So, the value of y = 4.

A four-person committee is chosen from a group of eight boys and six girls.
If students are chosen at random, what is the probability that the committee consists of all boys?


A• 4/ 1001
B• 15/ 1001
C• 10/ 143
D• 133/ 143


Answers

Answer:

The answer is 10/143

Step-by-step explanation:

Answer:

10/143

Step-by-step explanation:

Which property justifies this statement?
If I = -2, then 5.c = -10.

Answers

Answer: Conditional statement

Step-by-step explanation:

Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as. p→q. This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false.

Which of the following is not a congruence theorem or postulate?​

Answers

Answer:

AA

Step-by-step explanation:

AA is a triangle similarity postulate.

Answer: AA

Step-by-step explanation:

just got it right on the exam

How do you determine the scale factor of a dilation given the side lengths of the pre-image and image? 2. How can dilations help us solve real world problems? *​

Answers

Answer:

If you're scaling up from a smaller figure to a larger one, plug the lengths into the equation scale factor = larger length over smaller length. If you're scaling down from a larger figure to a smaller one, use the equation scale factor = smaller length over larger length.

Dilatation help us solve real world problems by allowing us to estimate the location that something has to be in or even if an object will fit or not.

A rectangle room measures 13 feet by 15 feet. The ceiling fan is 8 feet high. Find the total area of all 4 walls that will need to be painted.

448 ft
224 ft
560 ft
336 ft

Answers

Answer:

448 ft^2

Step-by-step explanation:

The area of the walls is the perimeter of the room multiplied by the height.

P = 2(L + W)

P = 2(13 ft + 15 ft)

P = 2(28 ft)

P = 56 ft

A = perimeter * height

A = 56 ft * 8 ft

A = 448 ft^2

Determine the sum of the measures of the exterior angles of a decagon (ten-sided polygon).

Answers

The sum of the exterior angles of any polygon is 360 only

I need help solving this problem

Answers

Answer:

D

Step-by-step explanation:

D is the equation in the question but in radical form.

Answer:

Step-by-step explanation:

[tex]xy^{\frac{2}{9} } \\use - indices-rule : x^{\frac{1}{2} } = \sqrt{x} ^{1} \\\sqrt{xy} ^{9}[/tex]

Which of the diagrams below represents the statement "If it is not warm, then
it is not hot"?
not hot
not warm
not warm
not hot
Figure A
Figure B
A. Figure A
B. Figure B

Answers

Answer:

B. Figure B

Step-by-step explanation:

We have the phrase "If it is not warm, then it is not hot".

Chronologically and logically, it has to not be warm in order to not be hot. "Not warm" will have to encompass "not hot". Therefore, choice B is correct as the diagram shows "not warm" encompassing "not hot".

Answer:

Figure A

Step-by-step explanation:

Ap*x

1) Miguel sells a house for $275,000. His commission for the sale is $6,875. What percent commission did he earn? (Make sure to write your answer as a percent for example: 6.2%)

Answers

Answer: 2.5%

Step-by-step explanation:

Let's use the rule of 3 here.

If the total price is $275,000 or 100% of the sale, then $6,875 is X% of the total sale.

Let's put money on one side and percentages on the other.

[tex]\frac{275000}{6875}=\frac{100}{x}[/tex]

Solve for x;

[tex]x=\frac{6875*100}{275000}[/tex]

[tex]x=2.5[/tex]

The Percent commission Miguel earn is 2.5%.

To Find the percent commission Miguel earned

Given:

Miguel sells a house = $275,000

His commission for the sale =$6,875.

Step 1:

Let's use the rule of 3 here.

If the total price is $275,000 or 100% of the sale,

then $6,875 is X% of the total sale.

Step 2:

Let's put money on one side and percentages on the other

=275000/6875

= 100/x

Solve for x;

x = 6875×100/275000

x = 2.5

Therefore, Percent commission did Miguel earn is 2.5%.

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Select the ordered pairs that satisfy the equation y=1/7x.
Check all that apply.

Answers

Answer:

the answer is F (-7,-1) and D(1,7)

Find the area of the largest circle that can be inscribed inside a square whose perimeter is 28" ( with explanation )

Answers

Answer:

31.1

Step-by-step explanation:

28'' = 7'' per side

Square diagonal = 7 squareroot 2

7 squareroot 2 = Diameter

[tex]\frac{7\sqrt{2} }{2}[/tex] = radius

Area =2 pi r

31.1

The diameter of a circle is 6 m. Find its area in terms of pi

Answers

Answer:9 pi m^2

Solution,

Diameter=6 m

Radius= 6/2=3m

Area of circle= pi r ^2

= pi *(3)^2

= pi*9

=9 pi metre^2

Hope it helps

Good luck on your assignment

The area of the circle is 9π m².

What is the area of the circle?

The area of a circle is the area inside the circle. Hence, the area of the circle = π × R².

Given, the diameter of the circle is(D) = 6 m.

Radius of the circle(R) = D/2 = 6/2 m = 3 m.

Therefore, the area of the circle = π × R² = π × 3² m² = 9π m².

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If you flip three fair coins what is the probability that the two first flips will both be heads, and the third flip will be either heads or tales?

Answers

Answer:

The probability that a coin flip is a head or a tail is 0.5. The probability that a coin flip is either a head or a tail is 1. The probability that a three-coin-flip is two heads and a head or a tail is 0.25.

Step-by-step explanation:

Find the area of this triangle... Round to the nearest tenth and include units in your answer

Answers

Answer:

36 m^2

Step-by-step explanation:

the formula for the area of a triangle is 1/2•b•h

so you’re going to do 1/2 times 12 times 6 to get the area of 36 m^2

Write 3 multi-step equations on your own. Explain how you got the answers in words and show all your work.

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

1) 4x + 9 = 2x - 6

Subtract 9 from both sides

4x = 2x - 15

Subtract 2x from both sides

2x = -15

Divide both sides by 2:

x = -15/2 or -7.5

2) 2(x - 5) = 5x + 23

Expand the brackets:

2x - 10 = 5x + 23

Subtract 23 from both sides

2x - 33 = 5x

Subtract 2x from both sides

3x = -33

Divide both sides by 3

x = -11

3) 7x + 3 = 2x + 13

Minus 3 from both sides

7x = 2x + 10

Subtract 2x from both sides

5x = 10

Divide both sides by 5

x = 2

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Dominic and Tony are playing a board game with a pair of six-sided dice. If Dominic can roll a total of five using the two dice, he will win the game.

a) What are all of the possible sums Dominic can roll using the pair of dice?


b) Circle the outcomes that could win the game for Dominic.


c) What is the probability that Dominic will win the game on this roll? Show your answer as a fraction and a percent.

Answers

Answer:

(a)2,3,4,5,6,7,8,9,10,11 and 12.

(b)(1,4), (2,3), (3,2) and (4,1)

(c) [tex]\dfrac{1}{9}$ or 11.11\%[/tex]

Step-by-step explanation:

When two six-sided dice are rolled, the possible outcomes are:

[tex](1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\\(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)\\(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)\\(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)\\(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\\(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)[/tex]

If Dominic can roll a total of five using the two dice, he will win the game.

(a) The possible sums Dominic can roll using the pair of dice is the sum

x+y where the for each outcome (x,y). These are:

[tex]2,3,4,5,6,7\\3,4,5,6,7,8\\4,5,6,7,8,9\\5,6,7,8,9,10\\6,7,8,9,10,11\\7,8,9,10,11,12[/tex]

The possible sums are 2,3,4,5,6,7,8,9,10,11 and 12.

(b) The outcomes that could win the game for Dominic are the outcomes which adds up to 5. These are:

(1,4), (2,3), (3,2) and (4,1)

(c)Probability that Dominic will win the game on this roll

Total Possible sums =36

Number of sums that add up to 5 =4

Therefore:

The probability that Dominic will win the game on this roll

[tex]=\dfrac{4}{36}\\=\dfrac{1}{9}\\ $Expressed as a percentage, we have$:\\\dfrac{1}{9} \times 100 =11.11\%[/tex]

The graph of y= √x is transformed as shown in the graph below. Which equation represents the transformed function?​

Answers

Answer:

1

Step-by-step explanation:

Firstly note that the graph is shifted up 2 units, as it starts at positive 2, when it should start at 0.

That only leaves choices 1 and 2

However, since we know its flipped, we can easily rule out number 2, as number 2 wouldn't be a real number(sqrt of negatives)

That leaves answer choice 1

The correct option is y = -[tex]\sqrt{x}[/tex] +2

What is transformation?

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, the graph of y= √x is transformed as shown in the graph.

Firstly note that the graph is shifted up 2 units, as it starts at positive 2, when it should start at 0.

That only leaves choices 1 and 2

However, since we know it's flipped, we can easily rule out number 2, as number 2 wouldn't be a real number.

Hence, the correct option is y = -[tex]\sqrt{x}[/tex] +2

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WILL GIVE BRAINLIEST ASAP NEEDED PLS ANSWER HELP



You need to create a fenced Off region of Land for cattle to graze. The grazing area must be a total of 500 square feet surrounded by a fence and in the shape of a regular polygon within this grazing area the length of the apothem must be 10 feet long.

Part. 1 find the total perimeter of the grazing area
Part 2. if the cost of the fence is $7.95 per linear foot how much will it cost to place a fence around the entire grazing area?
Part 3 - suppose this grazing area is 1/60 of an industrial grazing area for major industry farm. What is the total cost to build a fence around the entire land of the large scaled farm

Use property of proportions
show all work

Answers

Answer:

Part 1: The perimeter of total grazing area is 100 feet.

Part 2: The cost of fencing the entire grazing area is $759.

Part 3: The total cost to build a fence around the entire land of the large scaled farm is $ 45540.

A= perimeter X apothem /2

A=500

apothem = 10

500 = (P * 10)/2

P =100

B. 100*7.95 = $795

C.

60*100= 6,000

6,000 * $7.95=

$47,520


You draw one card from a standard deck of playing cards. If you pick a heart, you win $10. If you pick a face card, which is not a heart, you win $8. If you pick any other card you lose $6. What is the expected value of the game?

Answers

Answer:

The expected value of the game is  $131

Step-by-step explanation:

54 Cards in a deck including Jokers

52 Cards in a deck not including Jokers

13 Hearts

13 Clubs

13 Spades

13 Diamonds

13 Face Cards

13 / 52  = 25% Chance Of Pulling A Heart

30 / 52 = 57% Chance Of Pulling A Face Card Not A Heart

9 / 52 = 17% Chance of Loosing $6

$130 = Pick A Heart

$81 = Face Card Not a Heart

$130+$81 = $211

30 x 6 = $180

The expected value of the game is  $131

Choose the best answer.
Which of the following is usually NOT red?
la piña
la sandía
el tomate
la fresa

Answers

Answer:

The first one "La Piña" isn't red.

Answer:

the answer is A

(27x4 - 18x3 + 9x 2) = 3x
Answer ASAP

Answers

Answer:

x = 24

Step-by-step explanation:

27 x 4 = 108

18 x 3 = 54

9 x 2 = 18

108 - 54 + 18 = 3x

72 = 3x

72/3 = x

24 = x

Help!!!! this is plato and i’m not sure how to do this

Answers

Answer:not sure either

Step-by-step explanation:

What are the vertex and x-intercepts of the graph of y= x2 - 4x - 21? Select
one answer for the vertex and one for the x-intercepts.
A. Vertex: (-2, -9)
B. x-intercepts: (3.0), (-7,0)
C. Vertex: (2,-25)
D. x-intercepts: (3.0), (7,0)
E. x-intercepts: (-3,0), (7,0)
F. Vertex: (2, 13)

Answers

The answer is c and e.

Hope this helps!

​[(5 x 2.34​) - 9​] divided by 2 Help needed

Answers

Answer:

1.35

Step-by-step explanation:

To answer this problem, use order of operations (PEMDAS)

5 x 2.34 = 11.7

11.7 - 9= 2.7

2.7 / 2 = 1.35

Hope this helps.

Answer: 1.35

Step-by-step explanation:

(5 * 2.34) = 11.7

11.7 - 9 = 2.7

2.7/2 = 1.35

Do you use the greatest common factor or the least common multiple to add to fractions? In this example what is it? 4/15+5/6

Answers

Answer:

The least common multiple, but you can use the greatest common factor, but at the end you have to simplify for it to be correct. 1 3/30

Step-by-step explanation: 4/15+5/6

Change 15 into a 30 by multiplying 2 to both sides.

Change 6 into a 30 by multiplying 5 to both sides.

so the new fractions are 8/30+25/30=33/30

The final fraction is 1 3/30.

Find the Area of the Shaded Region. Triangle A = bh/2. Rectangle A = bh

11 ft

6 ft

6

4 ft

I will mark as Brainliest help

Answers

Answer:

Step-by-step explanation:

From the diagram in the image attached:

Base of triangle = [tex]20cm - ( 4 + 3)cm[/tex]

Base of triangle = [tex]20 - 7 = 13cm[/tex]

Height = 9cm

Area of triangle = (0.5) × base × height

Area of triangle = [tex]0.5 \times 13 \times 9 = 58.5cm^2[/tex]

Area of rectangle = Length × width

Area of rectangle = [tex]20 \times 9 = 180[/tex]

Shaded area = area of rectangle - area of triangle

Shaded area = [tex]180cm^2 - 58.5cm^2[/tex]

Shaded area = [tex]121.5cm^2[/tex]

Worth lot of points :))))

Answers

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

-4/3 = (6 - y)/[4-(-2)]

-4/3 = (6-y)/6

(-4/3)×6 = 6-y

-8 = 6-y

y = 6 + 8

= 14

Answer: y=14

Step-by-step explanation:

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