¿Cuál es la suma de los ángulos interiores del polígono mostrado a continuación?

Cul Es La Suma De Los Ngulos Interiores Del Polgono Mostrado A Continuacin?

Answers

Answer 1

The sum of interior angles of the given polygon is 900 degrees

How to calculate the sum of an interior angle of a polygon?

The formula used to calculate the sum of an interior angle of a polygon is expressed as:

Sum of interior angles = ( n − 2 ) × 180 ∘

n is the number of sides

The number of sides of the given polygon is 7, hence;

Sum of interior angles = (7 − 2 ) × 180 ∘

Sum of interior angles = 5 ×  180 ∘

Sum of interior angles = 900 degrees

Hence the sum of interior angles of the given polygon is 900 degrees

Learn more on sum of interior angles here: https://brainly.com/question/20606675


Related Questions

Alexa can bike home from school an hour and a half faster than she can walk home. her biking speed is 9 miles per hour faster than her walking speed. her school is 6 miles from her home. write an equation that can be used to find her walking speed, w.

Answers

The equation that can be used to find the walking speed is as follows:

w = 6 / x

How to calculate speedspeed = distance / time

Therefore,

let her walking speed = w

The time she can walk home = x hours

time she can bike home = (1.5 + x) hours

bike speed = (9 + w) miles per hours

Her school is 6 miles from her home.

Therefore, the equation that can be used to find the walking speed is as follows.

speed  = distance / time

w = 6 / x

learn more on speed here: https://brainly.com/question/9373193

There are 8 green marbles and 11 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble? Write your answer as a fraction in simplest form.

Answers

Answer:

Total number of marbles in the bag = 8+11?=19

Number of green marbles = 8

Number of blue marbles = 11

Probability of choosing a green marble randomly = 8/19

Step-by-step explanation:

Please mark me brainliest

A photograph has a length that is 2 inches longer than its width. There is a 1-inch frame surrounding the photograph. Which expression represents the area of the entire photograph and frame combined?

Answers

The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.

What is Area?

Area is the amount of space taken up by a plane shape.

To find an expression for the area of the entire photograph and the frame combined, we use the formula below.

Formula:

A = L×W............. Equation 1

Where:

A = Area of the photograph and the frameL = Length of the photograph and the frameW = Width of the photograph and the frame

From the question,

Let the width of the photograph be x, The length of the photograph = (x+2) inchesL = (x+2)+1 = (x+3) inchesW = (x+1) inches

Substitute these values into equation 1

A = (x+3)(x+1)A = x²+x+3x+3A = x²+4x+3

Hence, The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.

Learn more about Area here: https://brainly.com/question/24487155

What is the exact volume of the cone?
0 4077 cm
10 cm
80
3
π cm²
O
160
3
TT cm
4 cm
o 160 cm
(Please help!!)

Answers

Answer:

[tex]40\pi \: {cm}^{3} [/tex] will be your answer

[tex]\tt V=\dfrac{1}{3}h\pi r^2\\\\V=\dfrac{1}{3}\times 10\times \pi 4^2\\\\V=\dfrac{160\pi }{3}[/tex]

Factor out the greatest common factor in the following polynominal. x^4-8x^3+x^2

Answers

Answer:

The greatest factor of the polynomial is x^2.

To factor out x^2, we divide each term by x^2:

x^2 - 8x + 1

Don't forget to multiply back the x^2:

x^2(x^2 - 8x + 1)

I hope this helped you.

What is the surface area of the cube shown?
square centimeters

Answers

The area of one face is length x width:

Area of one face = 6.5 x 6.5 = 42.25 square cm.

There are 6 total faces on a cure.

Total surface area = 42.25 x 6 = 253.5 square cm.

Bella wants to tile a wall measuring 1.2 m by 2.16 m. She finds square tiles she likes with side lengths of 10 cm, 12 cm or 18 cm.
Which of these tiles will fit the wall exactly?

Answers

Answer:

Step-by-step explanation:

1.2m = 120 cm

2.16 m = 216cm

120×216 =25920cm

2) 10×18 = 180

25920/180= 144

√144 = 12

Need help with question 11- Tysm!

Answers

Answer:

A=½bh

165=15b(½)

multiply both sides

330=15b

divide

22=b

how can we use the study of time measurement's in our time Management? ​

Answers

Answer:

We can measure the amount of time it takes us to complete a task and plan our day accordingly to fit that task in.

What’s the measure of Please help I need this ASAP

Answers

Answer:

the answer is 124 degrees my friend


What is the lenght of the side opposite the 45 degree angle?

Answers

Answer: 5√2

Step-by-step explanation:

the opposite sides on a 45 45 90 triangle

Look at the image:

what is 15 < −5x because i keep getting stuck on this and its really getting me mad

Answers

Answer:

its 3 fam just divide 15 by 5

Step-by-step explanation:

Multiply both sides by -5. Remember to switch the sign around.
75 > x

my teacher gives me 3$ and buy a sweetie for me she gives me 2 add on and tell me how much chewing gum I ate?​

Answers

Answer:

add 3 to 2, then divide the multiple of 3 since it's the largest number. if there are no multiples, split it into a decimal.

3+2:': 1.5%ex ---- you ate 1 piece of chewing gum.

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is 5x + y = -9

Answers

Answer:

-5

Step-by-step explanation:

Because this equation is in standard form you can do -A/B which is the first two numbers of the equation,  and since -A=5 and B=y(1) then i just did -5/1 and i got -5

36) How old am I if 500 reduced by 3 times
my age is 299?

Answers

Answer:

67

Step-by-step explanation:

500 − 3x = 299

3x = 201

x = 67

Fine angle W……….Inscribed angles….correct answer will get brainliest

Answers

Answer:

40°

Step-by-step explanation:

[tex]\angle UTV [/tex] and [tex]\angle UWV [/tex] are inscribed in the same [tex]\widehat {UTV} [/tex]

Angles inscribed in the same arc are equal in measure.

[tex]\implies m\angle UWV =m\angle UTV [/tex]

[tex]\implies 19x +21\degree =10x +30\degree [/tex]

[tex]\implies 19x -10x =30\degree-21\degree [/tex]

[tex]\implies 9x =9\degree [/tex]

[tex]\implies x =\frac{9\degree}{9} [/tex]

[tex]\implies x = 1\degree [/tex]

[tex]\implies 19x +21\degree= 19(1\degree) +21\degree[/tex]

[tex]\implies 19x +21\degree= 19\degree +21\degree[/tex]

[tex]\implies 19x +21\degree= 40\degree[/tex]

[tex]\implies \huge\orange{\boxed{\boxed{m\angle W= 40\degree}}}[/tex]

karen has 2 gallon bucket that is half full of water. when she poured the water into another bucket, that bucket was one fourth full. how much water will the second bucket hold

Answers

Answer:

1 3/4 gallons

Step-by-step explanation:

Element X decays radioactively with a half life of 10 minutes. If there are 110 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 18 grams?

Answers

The time taken to the nearest tenth for the element X to decay from 110 g to 18 g is 26.1 mins

How to determine the number of half-lives Original amount (N₀) = 110gAmount remaining (N) = 18  gNumber of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 110 / 18

2ⁿ = 55/9

Take the log of both side

Log 2ⁿ = Log (55/9)

nLog 2 = Log (55/9)

Divide both side by Log 2

n = Log (55/9) ÷ Log 2

n = 2.61

How to determine the time Number of half-lives (n) = 2.61Half-life (t½) = 10 minsTime (t) =?

t = n × t½

t = 2.61 × 10

t = 26.1 mins

Learn more about half life:

https://brainly.com/question/26374513

2x + 2x + 2 = 4x + 2
Do this equation has one solution,many solutions,or no solutions?

Answers

Step-by-step explanation:

2x + 2x + 2 = 4x + 2           combine like terms

4x + 2 = 4x + 2          subtract 4x from both sides

4x - 4x + 2 = 4x - 4x + 2

2 = 2   TRUE

CONCLUSION:This equation has an infinitely many solutions. The solution to this equation is any real number.

15 plus a number equals 25

Answers

Answer: 10

Step-by-step explanation: 15+10=25

The statement 15 plus a number equals 25 is equals to 10.

We are given that;

The statement

Now,

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

To find the number, we can use the following steps:

Write the equation using a variable for the unknown number: 15 + x = 25

Subtract 15 from both sides: 15 + x - 15 = 25 - 15

Simplify: x = 10

Therefore, by algebra the answer will be 10.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ6

A cut piece of ribbon is 21 inches long. The piece of ribbon is 15% of the original length of the ribbon.
How long was the original length of the ribbon?

Answers

Answer:

140 inches

Step-by-step explanation:

21 is 15% of 140.

Show the remainder of this problem as a fraction:

=45 /

Answers

Answer:

45 9/14

That's how you would write it.

determine which of the values is a solution of 4t+6≤10

Solution =

not a Solution =​

Answers

Answer in the photo.

The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

4t + 6 ≤ 10

Simplify the inequality, then we have

4t + 6 ≤ 10

4t ≤ 10 - 6

4t ≤ 4

t ≤ 4 / 4

t ≤ 1

The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Choose an equivalent expression for 123 • 129 • 124 • 122.

Answers

Answer:

[tex]12 {}^{18} \\ \\ 100\%\: correct \: answer[/tex]

B. 12^18 is the correct answer...

Hopes to get BRAINLIEST....

Thank you ☺️

The equivalent expression for the given expression from the question is  [tex]12^{18}[/tex]

From law of indices

[tex]X^2 . X^2 .X^3 = X^(2+2+3)= X^7[/tex]Same principle applies.we were given [tex]12^3 . 12^9 . 12^ 4 .12^2[/tex]since they all have the same base, then we can sum up their powers, then we have[tex]12^(3+9+2+2)[/tex]

[tex]= 12^18[/tex]

Therefore, the equivalent expression is [tex]12^{18}[/tex]

Learn more at:https://brainly.com/question/24467760?referrer=searchResults

Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of 29$. For any minutes over 250 tracy us charged 0.35$ per minute. Which of the following picewise functions represents charges based on tracy’s cell phone plane?

Answers

Answer:

Since Tracy is charged $29 for 250 free minutes so:

For x ≤ 250, f(x) = $29

tracy is charged an extra $0.35 per minute for calls over 250 minutes, so:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

Please answer all of the problems attached in the pdf. I have fallen behind in studiess and need a little help - thanks

Answers

Answer:

Step-by-step explanation:

A 9. 5-foot pole casts a shadow that is 29 feet long. What is the approximate measure of angle L? 0. 32 rad 1. 24 rad 19. 2 rad There is not enough information to answer this question.

Answers

The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

A 9.5 feet pole casts a shadow that is 29 feet long.

Perpendicular = 9.5 feet

Base = 29 feet

The angle is given by the tangent. The tangent is given as

[tex]\rm tan \ \theta = \dfrac{Perpendicular }{Base}[/tex]

Then we have

[tex]\rm tan \ \theta = \dfrac{9.5}{29}\\\\tan \ \theta = 0.3276\\\\\theta \ \ \ \ \ = tan ^{-1} 0.3276\\\\\theta \ \ \ \ \ = 18.14^o \ or \ 0.32 \ rad[/tex]

The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

A on Edge

Aka 0.32 rad

Step-by-step explanation:

Next one is:

Solve the equation where the sine of 30 degrees is equal to YZ/50.Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Zto write and solve an equation.Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.

Simplify the polynomial by writing each of its term in standard form. 1.5xy^2 *(-4)xyz-4mnk*5m^2 n^3 k

Answers

The simplified polynomial by writing each of its term in standard form is:

[tex]-20m^{3}[/tex] [tex]n^{4}[/tex][tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.

To simplify the given polynomial by writing each of its term in standard form, we need to expand the products and arrange the terms in decreasing order of their degree.

First, let's expand the product [tex]1.5xy^{2}[/tex] *(-4)xyz:

[tex]1.5xy^{2}[/tex] *(-4)xyz = ([tex]-6xy^{3z}[/tex])

Next, let's expand the product -4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex] k:

-4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex]k = ([tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex])

Now, we can write the simplified polynomial by adding the two terms we obtained and arranging them in decreasing order of their degree:

[tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex] - 6xy^3z[tex]6xy^{3z}[/tex]

Therefore, the simplified polynomial by writing each of its term in standard form is:

[tex]-20m^{3}[/tex][tex]n^{4}[/tex] [tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]

To learn more about polynomial from the given link:

https://brainly.com/question/11536910

#SPJ1

PLEASE HELP 64 POINTS!! I WILL AWARD BRAINLIEST

Answers

Answer:

no solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

No solution

Answer:

5 divide by 8 equal 0.625 + 2 = 2.625 + x= 2.625x and 1-3x equal = 2x(5/6)= 17x

Step-by-step explanation:

A Step-by-step means moving slowly from one stage or level to the next

Don’t worry, we’ll take things one step at a time.

PLEASE HELP Solve the right triangle.


Round your answers to the nearest tenth.

Answers

Answer:

A = 40°

a = 9.0

b = 10.7

Step-by-step explanation:

The sum of interior angles of a triangle is 180°

⇒ m∠A + 50° + 90° = 180°

⇒ m∠A + 140° = 180°

⇒ m∠A = 180° - 140°

⇒ m∠A = 40°

[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]

Given:

[tex]\theta[/tex] = 50°side adjacent to the angle = ahypotenuse = 14

[tex]\implies \mathsf{\cos(50)=\dfrac{a}{14}}[/tex]

[tex]\implies \mathsf{a=14\cos(50)}[/tex]

[tex]\implies \mathsf{a=9.0\ (nearest\ tenth)}[/tex]

[tex]\mathsf{\sin(\theta)=\dfrac{opposite\ side}{hypotenuse}}[/tex]

Given:

[tex]\theta[/tex] = 50°side opposite to the angle = bhypotenuse = 14

[tex]\implies \mathsf{\sin(50)=\dfrac{b}{14}}[/tex]

[tex]\implies \mathsf{b=14\sin(50)}[/tex]

[tex]\implies \mathsf{b=10.7\ (nearest\ tenth)}[/tex]

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

Let consider the given triangle be ABC

Here, It is given in the question that ,

[tex]\sf{ {\angle} B = 90° }[/tex][tex]\sf{ {\angle} C = 50° }[/tex][tex]\sf{ AC = 14 }[/tex]

Therefore,

By using Angle sum property

It states that the sum of all angles of triangles are equal to 180°

That is,

[tex]\bold{\pink{ {\angle} A + {\angle}B + {\angle}C = 180{\degree}}}[/tex]

Subsitute the required values,

[tex]\sf{ {\angle}A + 90{\degree} + 50{\degree}\: =\: 180{\degree} }[/tex]

[tex]\sf{ {\angle}A + 140{\degree}\: = \:180{\degree} }[/tex]

[tex]\sf{ {\angle}A\: = \: 180{\degree} - 140{\degree} }[/tex]

[tex]\sf{ {\angle}A \: =\: 40{\degree} }[/tex]

Thus, The angle A is 40°

Now,

We have to find the side a and b

We know that,

[tex]\bold{\red{ Sin{\theta} \:=\: }}{\bold{\red{\dfrac{Perpendicular }{Hypotenuse }}}}[/tex]

[tex]\bold{\red{ Cos{\theta} \:=\: }}{\bold{\red{\dfrac{ Base }{Hypotenuse }}}}[/tex]

For side A

[tex]\sf{ Sin\: 40 {\degree} \:= \:}{\sf{\dfrac{ a}{ 14 }}}[/tex]

[tex]\sf{ Sin(}{\sf{\dfrac{2{\pi}}{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{2{\times} 3.14 }{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{sin(}{\sf{\dfrac{6.28}{9}}}{\sf{) \:=\: }}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{ a \:= \:14 {\times} 0.64}[/tex]

[tex]\sf{ a \: = \:14 {\times} 0.64}[/tex]

[tex]\bold{ a\: =\: 8.96\: \: or \:\:9\:\: (approx) }[/tex]

For Side B

[tex]\sf{ Sin\: 50 {\degree} = }{\sf{\dfrac{ b }{ 14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\pi}}{18}}}{\sf{)\: =\: }}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\times} 3.14 }{18}}}{\sf{ ) \: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{15.7}{18}}}{\sf{ )\: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{ b\: = \:14 {\times} 0.76}[/tex]

[tex]\bold{ b\: = \: 10.64\:\: or \:\:10.7\:\: (approx) }[/tex]

Hence, The value of angle A , side a and b is 40° , 9 and 10.7 .

Other Questions
Mara ____________mucho en la clase de espaol. (estudiar) can someone help me with a argumentative essay about mental health? Aisha's organization uses special performance tests, which are then supplemented by other appraisal methods. Why would her firm use these types of tests A premedical student at a university was complaining that she had just paid $158. 60 for her human anatomy book, including tax. Find the price of the book before taxes if the university tax rate is 9% 2) Tom left the water hose running for 20 minutes to water his lawn. Did he mostlikely use 175 cups or 175 gallons of water? Pls help on a timer:::Which statement best describes a characteristic unique to renewable resources? O Renewable resources are abundant. O Renewable resources form slowly. O Renewable resources can be used to generate electricity. O Renewable resources are found in nature. Do this word document for 50 Points thank you Read this passage.In this excerpt, Eliezer and his father have decided to beevacuated with the other prisoners rather than stay behind at thehospital in Buna. I learned after the war the fate of those who had stayed in the hospital. They were quite simply liberated by the Russians two days after the evacuation. Which statement best describes the effect of Wiesels choice to include the excerpt in Night? It foreshadows that Eliezer and his father made the wrong decision and makes his fathers death more tragic. It explains the fate of the man whose bed was next to Eliezers in the hospital, which otherwise readers would have never known. It shows that Eliezer and his fathers diminished faith in God caused them to make a tragic decision. It evokes sympathy for those who stayed in the hospital because they had to wait two days to be evacuated. The equation of the line that passes through points (0, negative 7) and (2, negative 1) is shown below. What value is missing from the equation? y = x 7 Under President Reagan, the United States began to develop the Strategic Defense Initiative, nicknamed "Star Wars. " What was the goal of that plan? to build up the nations defenses to strengthen the nations offensive power to support the nations space program to continue the policy of dtente. What was the name of the group that took over in Germany after Kaiser Wilhelm stepped down in WWI? Which of the following is NOT a main component of rhetoric?A logosJBB. legosCethosD. pathosPlease select the best answer from the choices provided What is the surface area of the square pyramid represented by the net? plzzzzzzzzzzzz help will get brainlistWhen a construction worker is on a platform 10 feet above the ground, we can describe her elevation as +10 feet.A construction worker digs down to 30 feet below the platform. What is her elevation? A 100V battery connected to two oppositely charged plates that are 10cm apart.a. What is the magnitude of the electric field?b. What is the electric force exerted on a +200uC ? Which plate borders the Philippine Plate?AfricanAntarcticEurasianNorth American The leg lengths of a right triangle are 4 cm and 6 cm. What is the length of the missing side? Write two sentences with the verbs faire and jouer conjugated in imperfect. Victoria's family took a road trip to Mount Rushmore. Victoria slept through the last 68% of the trip. If the total length of the trip was 1000 miles, how many miles had they travelled when Victoria fell asleep? determine if 2, 8 ,14 ,20 is an arithmetic sequence. If so find the common difference and the next three terms.