calculate the sum of the interior angles of the following polygon 6 sided 15 sided and 3 sided​

Answers

Answer 1

Answer:

720°, 2340°, 180°

Step-by-step explanation:

Look at the attached image of a regular hexagon.  I drew all possible lines from a vertex to other vertices (AC, AD, AE).  Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.

♦  Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).

See attached image2 to see what happens in an octagon.  There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.

What about a 15-sided regular polygon?  How many triangles would be formed by putting in all the diagonals coming from one vertex?  There will be 2 fewer triangles than the number of vertices, 13.

♦  The total of interior angle measures in a 15-gon is 13(180°) = 2340°

♦  A polygon with 3 sides is a single triangle; interior angle sum = 180°

Calculate The Sum Of The Interior Angles Of The Following Polygon 6 Sided 15 Sided And 3 Sided
Calculate The Sum Of The Interior Angles Of The Following Polygon 6 Sided 15 Sided And 3 Sided

Related Questions

What are the 4 types of problem solving?

Answers

The four types of problem solving can be named as Trial and Error , Algorithms , Inductive Reasoning and Deductive Reasoning .

What is Problem Solving ?

The Problem solving can be defined as the act of defining a problem , finding cause of problem, identifying, prioritizing and selecting the alternatives for solution and implementing it .

The four types of problem solving are :

(i) Trial and Error : It is defined as trying the different ways of doing something until we find the best solution .

(ii) Algorithms : The algorithm can be defined as a  set of step by step procedures which provides correct answer to a particular problem.

(iii) Inductive Reasoning : It is defined as a process where we come to a conclusion where a general statement is reached from specific result.

(iv) Deductive Reasoning : It is defined as a process where we get specific results from general statements .

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What is 614,952 rounded to the nearest ten thousand

Answers

Answer:

610,000

Step-by-step explanation:

Answer:

610,000

Step-by-step explanation:

614,952 rounded to the nearest ten thousand place is 610,000.

hope this helps and is right :) p.s. i rlly need brainliest.

Solve for x : 4x-6=x+9

Answers

4x - 6 = x + 9

4x - x = 9 + 6

3x = 15

[tex]x = \frac{15}{3} \\ [/tex]

x = 5 ...

Answer:

[tex]x =5[/tex]

Step-by-step explanation:

[tex]4x - 6=x+9[/tex]

Subtract x from both sides

[tex]4x -6-x=x+9-x[/tex]

[tex]3x-6=9[/tex]

Add 6 to both sides

[tex]3x-6+6=9+6[/tex]

[tex]3x=15[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{15}{3}[/tex]

[tex]x = 5[/tex]

The sum of the digits of a two-digit number is 7. When the digits are reversed, the number increases by 45. What is the original number?

original number: ⬜

Answers

The original number is 25.

We know that,

The sum of the original number is 7 --(i)

When reversed, the value of the number is increased by 45 --(ii)

Therefore, adding (i) and (ii), we get:

7 + 45 = 52

Also, 5 + 2 = 7

Since 52 is the reversed number,

Therefore, the original number is 25.

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A lawyer charges $500 to be put on retainer for a client. The lawyer also charges an hourly rate of $75 for work done. a.Identify the fixed cost (the constant).b. Identify the independent variable (x). c. Identify the dependent variable (y). d.Write an equation that describes the situation above.

Answers

The answer will start with 500 USD. For every hour, 75 USD is charged. We can multiply 'x' to 75 USD which will represent the amount of hours. The equation will now become, 'y = 75x + 500'. In most cases, like this one, y will represent the total cost. Here are the answers.

a. 75USD

b. x (amount of hours)

c. y (total cost)

d. y = 75x + 500

Hope I understood what you were asking and if not I'm really sorry <3

Phyllis invested $10,500, a portion earning a simple interest rate of

3 1/2% per year and the rest earning a rate of 3% per year. After one year the total interest earned on these investments was $352. 50. How much money did she invest at each rate?

Please answer ASAP

Answers

The money invested by Phyllis with simple interest rate 3 1/2% and 3% per year is given by $7500 , and $3,000 respectively.

As given in the question,

Total amount with Phyllis is equal to $10,500

Let 'x' be the portion of Phyllis earning invested with 3 1/2% per year simple interest rate

Then $( 10,500 - x ) invested by Phyllis with simple interest rate 3% per year

Total interest earned by the investment = $352.50

0.035x + 0.03( 10,500 - x ) = $352.50

⇒0.035x + 315 - 0.03x = 352.50

⇒0.005x = 352.50 - 315

⇒0.005x = 37.5

⇒x = $7500

and $( 10,500 - x ) = $( 10,500 - 7500 )

                              = $ 3,000

Therefore, the amount of invested with simple interest rate 3 1/2% per year and 3% is equal to $7500 and $3,000 respectively.

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Sam recorded the effects of exercise on short-term memory. Which of these is a response variable ?

A. Exercise

B. Neither exercise nor short-term memory

C. Short term memory

D. Both exercise and short-term memory

Answers

Short term memory is a response variable as it is dependent. Hence Option C is the answer.

What is response variable?

A dependent variable is the response variable. It is reliant on the independent variable, which serves as the explanatory variable.

What is the predicting factor?

Explanations for the findings revealed by the response variables are provided by the explanatory or independent variables. Explanatory response is qualitative since it is classified based on a category.

The response variable is what the researcher often measures in research studies. The response variable in the example presented above is short-term memory, which is influenced by exercise.

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Are polynomials closed under addition?

Answers

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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How to find the height of an isosceles triangle given 3 sides?

Answers

The height of an isosceles triangle can be found by using the Pythagorean Theorem to calculate the length of the hypotenuse, subtracting the lengths of the other two sides, and taking the square root of the difference.

To find the height of an isosceles triangle given three sides, you can use the Pythagorean Theorem. Begin by calculating the length of the hypotenuse (the longest side of the triangle). To do this, square the lengths of the two other sides and add them together. Then, take the square root of that sum. This is the length of the hypotenuse. Next, subtract the lengths of the other two sides from the hypotenuse and take the square root of the difference. The result is the length of the altitude, which is also the height of the triangle.

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I’d love you he help for all of it but i’ll take what I can get

Answers

Answer:

Parallelogram formula- 1/2 x base xheight

Step-by-step explanation:

Need help with this question, will give brainliest

Answers

Answer:

1/2

Step-by-step explanation:

So lets go over what slope is.

The formula for slope is y/x

To find this, we can just count the change in y, and put it over x.

So lets see.

On the graph, we can count that y goes up by one, and that x goes to the right by 2.

So this means our slope is y/x, or 1/2.

This is our answer.

I hope this helps! :)

I included a visual of this as well!

I do not understand this problem pls help thank you

Answers

The value of x in the triangle LMO is 38°

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

∠KLO + ∠OLM = 180° (sum of angle in straight line)

134 + ∠OLM = 180°

∠OLM = 46°

∠OML + ∠OMN = 180° (sum of angle in straight line)

∠OML + 84 = 180°

∠OML = 96°

∠OLM + ∠OML + ∠LOM = 180° (angle in a triangle)

46 + 96 + x = 180

x = 38°

The value of x is 38°

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Some one please help me solve this

Solve each system by elimination.
1) -3х – бу = -3
5x + 5y = 0

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

does the order of the quantities in an inequality matter

Answers

Yes, the order of the quantities in an inequality matters, and examples are given to show why.

Why does the order of the symbols matter in an inequality?

The four inequality symbols, along with their meaning, are presented as follows:

> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.

It is known that the number 5 is greater than the number 3, hence the inequality that describes these numbers is given as follows:

5 > 3.

However, if we tried to apply the commutative property, that is, changing the order of the numbers, we would have that:

3 > 5.

Which is a false statement, as the number 3 is less than the number 5, and not more.

This shows that the order of the symbols in an inequality in fact does matter.

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please help!! i would really appreciate it

m = ?

Answers

Answer:

4

Step-by-step explanation:

Hypotenuse, on a 30 60 90 triangle, is equal to 2a. A being the shortest side.

That means 2(2) = 4

Deion has a toy car collection of 360 toy cars. He keeps 85% of the toy cars on his wall. How many toy cars does he keep on his wall?

Answers

Answer:

306 toy cars

Step-by-step explanation:

since he has a total of 360 toy cars, and he keeps 85% on the wall, to find how many toy cars he keeps on his wall we have to find 85% of 360:

360*0.85=306

therefore, he keeps 306 toy cars on his wall

The number of toy cars does that Deion keeps on his wall is 306 cars.

Number of cars = 360

Percentage of the toy cars on his wall = 85%

Then, the number of toy cars that is kept in his wall will be:

= 85% × 360

= 0.85 × 360

= 306

In conclusion, 306 toy cars are kept on the wall.

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Please help me i really need help

Answers

Answer:

The answere is C

Step-by-step explanation:

Which of the following statements are true? (select more than one answer)

Answers

Answer:

➜ ∠4 = ∠2

➜ ∠2 + ∠3 = 180°

➜ ∠1 = ∠3

Step-by-step explanation:

     We can use vertical angles to prove the first statement true, ∠4 = ∠2.

     Next, ∠2 and ∠3 are supplementary angles, so if you add them together you will get 180 degrees. This statement is also true.

       Then, ∠1 and ∠2 are not complimentary angles. This statement is false.

       Lastly, we can use the same reasoning of the first one to prove this statement true as well. They are vertical angles, ∠1 = ∠3.

Pressure =

force/area

A force of 70 newtons acts on an area of 20 cm?

berabils HBO

The force is increased by 10 newtons,

The area is increased by 10 cm?

Helen says,

"The pressure decreases by less than 20%"

Is Helen correct?

You must show how you get your answer.

Answers

Helen is not correct. The pressure decreases by 23.8% and not less than 20%.

Pressure = force/area

The initial pressure is 70 N / 0.2 m^2 = 350 Pa (Pascals). If the force is increased by 10 N and the area is increased by 10 cm^2, the new pressure is 80 N / 0.3 m^2 = 266.67 Pa

The difference in pressure between the initial and final states is 83.33 Pa (350 Pa - 266.67 Pa)

To calculate the percentage change in pressure, we divide the change in pressure by the initial pressure and multiply by 100:

(83.33 Pa / 350 Pa) * 100% = 23.8%

So Helen is not correct. The pressure decreases by 23.8% and not less than 20%.

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answer please no links

Answers

Answer:

x = 65

Step-by-step explanation:

180 - 115 = x

x = 65

Have a nice day!

0.2(x+50)-6=0.4(3x+20)

Answers

Answer:

2

Step-by-step explanation:

0.2(x+50)-6=0.4(3x+20) multiply both sides by 10 to clear the decimals

2(x + 50) = 4(3x + 20) distribute across the terms in the parentheses

2x + 100 = 12x + 80 subtract 80, 2x from both sides

20 = 10x divide both sides by 10

x=2

What is the product of and 3 /- 4?

Answers

Using multiplication we know that the product of 3 * - 4 is -12.

What is multiplication?

One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication.

A product is the output of a multiplication operation.

The addition method, lengthy multiplication, grid method, and drawing lines are four different ways to multiply.

So, we have:

3 * -4

Here, we know that 3 is a positive number and -4 is a negative number.

And so the product will be a negative number.

Now, calculate the product as follows:

3 * -4

-12

Therefore, using multiplication we know that the product of 3 * - 4 is -12.

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What is the difference between a reasonable and unreasonable time algorithm?

Answers

Reasonable algorithms expand at polynomial rates or less quickly. Unreasonable algorithms expand exponentially. Even for relatively small problem sizes, the time to solve an unreasonable algorithm increases very quickly.

What is Unreasonable time algorithms?

When the algorithm takes an excessively long time, we say that the number of steps is an exponential function of the size of the input (or some other function that is larger than any polynomial). Simply increasing the input size (n) by 1 doubles the number of steps for an algorithm that runs in 2n time.

Depending on the polynomial, polynomial time can be further decomposed. Algorithms with a runtime of approximately n2 operate in quadratic time. (If the input size is doubled, the number of steps is quadrupled.) In practise, polynomial time algorithms that take longer than cubic (n³) time are uncommon.

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What is the equation of the circle centered at the origin with a radius of 7.5 PLEASE HELP!

Answers

Answer: Are you talking about Circumference?

If it is then the Formula is 2πr or the easy way ... πd

1st use of formula: you would multiply 7.5 twice then multiplying by Pi or 3.14

2nd use of formula: You would get the diameter then multiply it by Pi or 3.14

Hope this helps :)

Pls help plssssssssssss

Answers

The correct and right answer is 181m

Need help with work g

Answers

Answer:

21 meters

Step-by-step explanation:

First find the circumference of the tire:

c = πd

c = 3.14(670)

c = 2103.8

Multiply by 10 to find the distance the bike has travelled:

2103.8*10 = 21,038

Convert millimeters to meters:

21,038 millimeters ≈ 21 meters

Answer:

NEEEEEEGAARRRRR

Step-by-step explanation:

9) Express the roots of the equation 2x² + 4x + 5 = 0 in simplest a + bi form.

Answers

2x2+4x5=0 is a quadratic equation that can be solved. 2 x 2 + 4 x - 5 = 0. To find the answers, start with the quadratic formula.

What is the quadratic equation of 2x² 3x 5 0?

Using the quadratic formula, determine the roots of the quadratic equations 2x2-3x-5= 0. The equation's roots must be located. As a result, the equation's roots are 5/2 and -1. Which equation with 2 as a root must be identified. As a result, 2 is not a root of x2-4x + 5= 0.

Since 2 is not a root, x2 + 3x-12= 0 cannot be solved. Thus, 2 is the root of the equation 2x2-7x + 6= 0. The roots of the quadratic equation ax2 + bx + c= 0 are real and equivalent if the discriminant is equal to zero (b2-4ac=0), a, b, and c are real values, and a0. The roots in this situation arex= -b/2a.

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what will be the rationalising factor of this thing

Answers

Answer:

dude... I have fallen in love with your profile picture

What is 62% of $10.50?

Answers

Answer:

$6.51

Step-by-step explanation:

To make a percent a decimal, divide by 100

62% = .62

.62 x 10.50 = 6.51

We know that half of 10.50 is 5.25 and 625 would be a little higher and 6.51 is a little higher.

The answer is $ 6.51

x = 2y + 12
5x + 3y =-44

Answers

Answer:

(-4, -8)

Step-by-step explanation:

Note that x in terms of y is x = 2y + 12.  Substitute 2y + 12 for x in the second equation:

5(2y + 12) + 3y = -44

or

10y + 60 + 3y = -44

Then 13y= -104, and y = -8

From the first equation we find x = 2(-8) + 12, or x = -16 + 12, or x = -4

Then the solution is (-4, -8)

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