Show that the sum of the measures of the external angles of any polygon is 360°. [ HINT:- Draw three different polygons like a triangle, quadrilateral, pentagon. Extend each side, then measure the exterior angles from there. Finally, find the sum of measures of all exterior angles of each polygon.]

Answers

Answer 1

basically get a shape

eg we will work with triangles,, add angles to the inside,, ensuring they add up to 180 (because angles in a triangle add up to 180)

now that we have the angles,, extend each side with a line to show the exterior angles.

we know that angles on a line add up to 180,, so to find the external angle,, we can use our internal angle

you would use:

[ 180- internal angle]

do this for all external angles

add all your answers together,, should equal to 180


Related Questions

Al vender una refrigeradora, gané s/. 580. Si después de la venta gasté s/. 1 260 y me queda s/. 480, ¿Cuánto costó la refrigeradora?

Answers

Answer:

english plz

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP ME


EXPLAINING YOUR ANSWER WILL GIVE YOU BRAINLIEST


I REALLY NEED HELP AND ACCURATE ANSWERS

Answers

Answer:

the area of sector is

[tex] \frac{126}{360} \times \pi \times ( \frac{16}{2} ) {}^{2} = \frac{112}{5} \pi[/tex]

Answer:

Step-by-step explanation:

126/360 × pi× radius²= Area of the sector

Find the square root

Answers

[tex]\longrightarrow{\green{π=3.14}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \sqrt{ {\pi}^{2} } \\ \\ = \pi \\ \\ = \frac{22}{7} \\ \\ ( \: or \: ) \\ \\ = 3.14 \\ \\ (∵ \sqrt{( {a})^{2} } = a)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

[tex]\pi = 3.14 \\ \\ \sqrt{\pi {}^{2} } \\ \sqrt{ {3.14}^{2} } \\ |3.14| \\ \\ = 3.14[/tex]

Final Answer: 3.14

Step By Step Explanation:

Simplify The root: Reduce the index of the radical and exponent with 2Calculate The Absolute Value: The absolute of any number is always positive.

Alternate Forms:

157/503 7/50

☆彡Hanna

A water tank is in the shape of a cylinder with a diameter of 20 feet and a height of 20 feet. The tank is 70% full. About how many gallons of water are in the tank?

Answers

Answer:

32901 gallons

Step-by-step explanation:

First, we find the volume of the cylindrical water tank when it is full.

The volume of a cylinder is given as:

V =

where r = radius and h = height of the cylinder

The diameter of the tank is 20 feet, hence, its radius is 10 feet.

Volume, V, is therefore:

V =

This is the volume of the tank, when it is full.

When it is 70% full, the volume will be:

1 cubic foot () is 7.48 gallons.

Therefore, the volume of the 70% full tank in gallons will be:

4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons

The tank contains 32901 gallons of water.

Answer:

approximately 32,900 gallons

Step-by-step explanation:

volume water in tank

v = πr²h * .70

v = π * 10² * 20 * .70

v = 4,398.2297150257 ft³

1 ft³ = 7.48 gallons

gallons in tank

4,398.2297150257 * 7.48 = 32,898.7582683922

~ 32,900 gallons

HII GUYS DON'T WORRY I ONLY HAVE 3 MORE QUESTIONS LEFT I'M SO SORRY FOR BOTHERING YOU GUYS I'M SORRY THANK YOU FOR THE PEOPLE WHO HELP ME. <3​

Answers

Answer:

Hello! answer: 96

Step-by-step explanation:

I will find the area of each face separately and add them up so... for the triangles those would both be 6. the rectangle on the bottom would be 28 and the rectangle standing up would be 21 now for the triangle on top that would be 35. now we would just add these up so...

6 + 6 + 28 + 21 + 35 = 96 Therefore the surface area is 96 Hope that helps!

What is the volume of the square pyramid? Enter in the box ___m^3

Answers

Answer:

V = 400 m^3

Step-by-step explanation:

The volume of a square pyramid is

V = 1/3 Bh where B is the area of the base and h is the height

B = 10 *10 = 50

V = 1/3 (100)* 12

V = 400 m^3

1) f(x) = 3x2+ 5x -2
a) Write an equation that can be used to find the zeros of the function.
b) What are the zeros of the function?

Answers

Here you go:

a) f(x)= (3x-1)(x+2)
This is factoring. It helps you find the zeros if you set this equal to zero. You can clearly identify what the zeros are.

b) (3x-1)(x+2)=0
x=1/3, x=-2

Plug those back into the equation to see if they work. In this case they do so those are your answers.

bank reduces the interest rate from 12% p.a. to 10% p.a to expand its business. By how much is the yearly interest on Rs. 8,400 decreased?​

Answers

Answer:

$168

Step-by-step explanation:

yearly interest = principal x time x interest rate

interest when interest rate is 12% = 8400 x 0.12 = 1008

interest when interest rate is 10% = 8400 x 0.1 = 840

decrease in interest rate = 1008 - 840 = 168

check whether 7+3x is a factor of 3x^3+7x

Answers

Answer:

no

Step-by-step explanation:

refer to picture for solution

Question 16 of 36
Solve 16x+8>12x+20
A.x>7
B.x<3
C.x<7
D.x>3

Answers

Answer:

X>3 which is B

Step-by-step explanation:

Answer:

D. x > 3

Step-by-step explanation:

We have:

16x + 8 > 12x + 20

We have to make x be alone on one side.

So first, we subtract both sides by 8:

16x > 12x + 12

Subtract 12x from both sides:

4x > 12

Divide both sides by 4:

x > 3

Help,anyone can help me do quetion​

Answers

Answer:

B1: x = 51

C1: x = 73, y = 34

Step-by-step explanation:

B1:

By exterior angle theorem:

x° + 54° = 105°

x° = 105° - 54°

x° = 51°

x = 51

C1

x° = 73°(Alternate angles)

x = 73

y° = 34° (corresponding angles)

y = 34

PLEASE HELP ME ASAP PLEASE! I KEEP GETTING SPAMMED

EXPLANATION = BRAINLIEST

The area is 220 square yd.

The missing length is ___ yd

Answers

Given : Area of the parallelogram is 220 square yard

We know that :

⊕  Area of a parallelogram is given by : Base x Height

⇒  Base x Height = 220

Given : Height of the parallelogram = 11 yards

⇒  Base x 11 = 220

⇒  Base = 20 yards

⇒  Missing Length = 20 yards

The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.

Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?

Indicate all such statements.

A The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.
B The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.
C The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.

Answers

Answer:

The answer is "Option A"

Step-by-step explanation:

Using the range difference to calculate the maximum and minimum value.

The range of the chinstrap penguins are:  

[tex]R(c) = Max(c) - Min(c) = 13.2[/tex]

The range of the Gentoo penguins are:

 [tex]R(g) = Max(g) - Min(g) = 15.4[/tex]

For point A:

[tex]Max(c) = x\\\\Max(g) = x + 5.8\\\\R(c) = x - Min(c) = 13.2 \to x = 13.2 + Min(c)\\\\R(g) = x + 5.8 - Min(g) = 15.4 \to x = 9.6 + Min(g)[/tex]

equate both of them

[tex]13.2 + Min(c) = 9.6 + Min(g)Min(g) - Min(c) = 3.6[/tex]

It indicates that Min(c) surpasses Min(g), whereas Max(g) exceeds Max (c).

Therefore, the Max is picked for g for all penguins and the minimum is picked for c.    

Range of all penguins [tex]= Max(g) - Min(c) = x + 5.8 - x + 13.2 = 19[/tex]

Therefore, it will be determined as the option.

For point B:

In estimating the range the median height cannot help.

For point C:

In order to calculate the variety, the connection between both the mean height cannot be sued.

I really need help on this problem ASAP please and thank you

Answers

Answer:

Step-by-step explanation:

Người ta dự định chuyển 78452 lít dầu từ kho A sang kho B Trong 4 ngày đầu mỗi ngày chuyển được 18214 lít dầu hỏi còn phải chuyển bao nhiêu lít dầu nữa

Answers

Answer:

5596 liters  of oil still need to be transferred.

Step-by-step explanation:

Total oil = 78452 liters

oil transferred each day for 4 days = 18214 liters

The amount of oil transferred in 4 days = 4 x 18214 = 72856 liters

The mount of oil left in ware house A

= 78452 - 72856

= 5596 liters  

Evaluate: 4.5p + 8.2n when p=6 and n=5.

Answers

Answer:

68

Step-by-step explanation:

4.5p + 8.2n when p=6 and n=5

Subsitute for p and n

4.5(6) + 8.2(5)

Multiply

27 + 41

add

68

Which two angles below are supplementary

Answers

Answer:

41° and 139°

45° and 145°

Step-by-step explanation:

Supplementary angles refers to two angles which measures up to 180°.

Therefore, it is safe to say that, angle in supplementary angles = 180°

23° and 147°

= 23° + 147°

= 170°

Not supplementary

41° and 139°

= 41° + 139°

= 180°

Supplementary angle

30° and 60°

= 30° + 60°

= 90°

Not supplementary angle

45° and 145°

= 45° + 145°

= 180°

Supplementary angle

4 1⁄10 ÷ 1 1⁄2 plsss answerr now ..thankyou

Answers

Answer:

2 11/15

Step-by-step explanation:

Answer:

41/15

Step-by-step explanation:

[tex]4\frac{1}{10}[/tex] ÷[tex]1\frac{1}{2}[/tex]

first convert mixed fraction into or improper fractions.

=4*10+1/10 ÷ 1*2+1/2

=41/10 ÷ 3/2

convert division sign to multiplication and do the reciprocal.

=41/10 * 2/3

=41*2/10*3

=82/30

=41/15

Find the area of a regular Heptagon with a side length of 7?

Answers

Answer:

[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]

Write the number 10 000 000 as a power of 10.

Answers

Answer:

10⁷

Step-by-step explanation:

Just count the number of zero and raise the counted number of zero.

13. You are going camping. The cost for renting a cabin at
Shady Knoll Campground at $65.00 plus $12.00 per person.
The cost in dollars is
I
C(n) = = 12n + 65, where n is the number of people.

Answers

Answer:

The function is correct, I just don't see a question.

Step-by-step explanation:    6   21   6  10

C(n) = 12n + 65

I will make up a question.  How much will it cost 4 people each to rent the cabin?

C(n) = (12n + 65) / n         n = 4

      =  (12 × 4 + 65) / 4

      =  (48 + 65) / 4

      =     113 / 4

      =     $28.25

If your question is differnt just substitute the number of people into the question and solve for C(n)

Please help I need the answer right

Answers

Answer:

B) 4 inches

Step-by-step explanation:

Since ABC is congruent to EFG then AB is congruent to EF, and BC is congruent to FG.

BC = 4 in

FG = 4 in

How many quarters are there in 5 and 3/4

Answers

Answer:

23

Each 1 has 4 quarters

5*4=20

20+3

23

Step-by-step explanation:

Grace was cutting out paper snowflakes for the upcoming
school dance. It will take her 20 minutes to make the large
snowflake. It takes her 5 minutes to make each of the
smaller snowflakes. Grace only has 60 minutes to work on
snowflakes before she goes to soccer practice.
Write and solve an inequality that represents n, the
number of smaller snowflakes Grace will have time to
finish. Show your work algebraically.

Answers

Answer:

12 small snowflakes

Step-by-step explanation:

if she only has 60 minutes to make them and each small snowflake takes 5 minutes, then we solve with the equation:

n = 60/5

*edit: i forgot how to write an equality lol, that isn't the answer

Answer:

12 small snowflakes

Step-by-step explanation:

Because the math equals out to that

Select the rule for each piece. Rule for piece 1: Rule for piece 2:

Answers

Answer:

Rule for piece 1: y=-x

Rule for piece 2: y=1

Rule for piece 3: y = 2-x

Step-by-step explanation:

Please someone help me if you can't that is okay but please try I am extremely desperate

Answers

A, you combine like terms

Answer:

A

Step-by-step explanation:

2x + x = 3x

y - 3y = 2y

Scott spent $54 on fruit at the grocery store. He spent a total of $60 at the store. What percentage of the total did he spend
on fruit?
Help !!!!

Answers

Answer:

I think it is 90%

Step-by-step explanation:

this is the case because 54/60 will be 9/10 if reduced

What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …

Answers

Answer:

y = 3x -7?

Step-by-step explanation:

started from 7 and going infinite

pls pls help due in 1hr

Answers

Answer:

5.2 =x

Step-by-step explanation:

We know the opposite side and the hypotenuse

sin theta = opp/ hypotenuse

sin 48 = x/7

7 sin 48 =x

5.202013778 =x

Rounding to 1 decimal place

5.2 =x

Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?

Answers

Answer:

Kiera has a lower ratio of raisins to nuts. (2:5)

Step-by-step explanation:

To find this, you would have to make the number of nuts the same in each to accurately compare them.

It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)

Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)

So I multiplied both the 2 and the 5 in 2:5 by 6 first.

Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.

So Kiera will have 12:30 and Desmond will have 15:30.

Then you can conclude that Kiera has the lower ratio.

Other Questions
complete the statements with the correct direct object pronouns A marble is selected at random from a jar containing 3 red marbles, 4 yellow marbles, and 5 green marbles. What is the probability that the marble is yellow? Read passage: ( I'm writing out the first have of the passage. The end of the passage is in the Picture that I Posted so make sure you read it). Passage: Excerpt from "A Cooking Revolution:How Clean Energy and Cookstoves Are Saving Lives" by Chef Jose Andres, June 7, 2016.) Cooking: it's a simple act that has brought families around the world together for thousands of years. As a chef, I can think of few things more beautiful than that. However, I also know how deadly such a simple act can be, not only to our health, but to our environment. Think about it: For Americans, turning on the stove means simply turning a knob or switch. For people living in developing countries, particularly women and childern, it means hours of collecting fuels like firewood, dung, or coal to burn in a rudimentary, smoky cookstove or over an open fire. The result is a constant source of toxic smoke that families breathe in daily causing diseases like child pneumonia, heart disease, and lung cancer, not to mention taking a child away from her education. In fact, diseases caused by smoke from open fires and stoves claim 4.3 million lives every year. That's more than AIDS , malaria. and tuberculosis combined. And the environment suffers, too. When people collect wood every day from their local forests to create charcoal or fuel for wood - burning stoves, it creates an unsustainable pace of deforestation that leads to mudslides, loss of watershed, and other environmental consequences. These stoves also contribute up to 25 percent of black carbon emissions, a pollutant that contributes directly to climate change. You see, from what we cook to how we cook, our foods connects with our lives on so many levels. That's why having access to better technology and clean energy for cooking is as equally important as the ingredients in the food being prepared. It's also why I'm proud to support an effort to bring clean cookstoves and fuels to millions of people in developing countries. ( Question 1: Read this paragraph from the excerpt: And the environment suffers, too. When people collect wood every day from their local forests to create charcoal or fuel for wood - burning stoves. it creates an unsustainable pace of deforestation that leads to mudslides, loss of watershed, and other environmental consequences. These stoves also contribute up to 25 percent of black carbon emissions, a pollutant that contributes directly to climate change. " Why does the author place this paragraph immediately after the two paragraphs about diseases?) A) This paragraph makes a point that contrasts with the point of the previous two paragraphs. B) This paragraph is less important than the previous ones. so it is placed later in the order. C) This paragraph continues the previous two paragraphs by providing evidence for their idea. D) This paragraph makes a related but broader point about environmental harm rather than harm to individuals. ( Question 2) What is the effect of this quote on the tone of the passage? I'm proud to support an effort to bring clean cookstoves and fuels to millions of people. A) It contributes to a somber tone. B) It contributes to a lighthearted tone. C) It contributes to a passionate tone. D) It contributes to a factual tone. ( Question 3) Read these paragraphs from the excerpt: Cooking: it's a simple act that has brought families around the world together for thousands and thousands of years. As a chef, I can thinknof a few things more beautiful than that. However, I also know how deadly such a simple act can be, not only to our health, but to our environmental. Think about it: For Americans , turning on the stove means simply turning a knob or switch. For people living in developing countries, particularly women and childern, it means hours of collecting fuels like firewood, dung, or coal to burn in a rudimentary, smoky cookstove or over an open fire. ( How do these paragraphs contribute to the development of the author's argument?) A) They establish the author's excerpt knowledge about cooking, which demonstrates he is an authority on inferior cookstoves. B) They provide personal support for the global solution to the problems of cooking that the author presents in the article. C) They introduce the solution to the negative effects of cooking in the developing world that appears in later paragraphs. D) They stress that Americans take for granted the ease of cooking in the United States so they may be unsympathetic about this issue. 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(frher/ankommen) (2 points)Ich fahre so schnell, um zu frher ankommen.Ich fahre so schnell, um frher an zu kommen.Ich fahre so schnell, um frher zu ankommen.Ich fahre so schnell, um frher anzukommen16. Wo bist du gestern gewesen? (2 points)Ich bin im Kino gewesenIch habe im Kino gewarst.Ich bin im Kino gewest.Ich habe im Kino gewesen.17. Hast du gestern Klavier gespielt? (2 points)Nein, ich habe Gitarre gespielt.Nein, ich habe Gitarre gespielen.Nein, ich bin Gitarre gespielt.Nein, ich gespielt Gitarre. Help would be EXTREMELY appreciated you don't have to answer every single one but it would help if you did :))!! no links !! (Respond to these sentence's in French in a complete sentence.) 1. Quel ge as-tu?2. Quel est la de ton anniversaire3. Quel ge ton grand-pre 4. Qu'est-ce que tu tudies l'cole5. Qu'est-ce que tu prends pour le petit djeuner en gnral 6. Quels sont tes activits ou sports prfrs 7. Est-ce que tu as des frres ou des soeurs? ils sont plus jeunes ou gs 8. Quelles sont deux boissons que tu aimes 9. Qu'est-ce que tu fais le weekend one half plus one third write the adverbs use in sentences no.1-5 ty a force of 29 N and acceleration is 0.4 m/s what is the combined mass what does a greenhouse represent? Which scenario below correctly describes an unearned revenue adjustment injury Why would you not expect to find live plants or photosynthetic plankton in the deep-water zone of a lake? g Stereoisomers that are not mirror images of each are ____________ . The cis and trans isomers of a particular compound are ____________ of each other. Isomers that differ only in the way atoms are oriented in space are ____________ . Achiral compounds that contain tetrahedral stereogenic centers are ____________ . Isomers that differ in the way the atoms are connected to each other are ____________ . Stereoisomers that are nonsuperimposable mirror images of each other are ____________ . The chemical and physical properties of two ____________ are identical except in their interaction with chiral substances. Jones Company paid $1,200 with cash this year in January for six months rent. Therefore, it will be used up before the end of the year when the financials are prepared. Since it is short lived and will be used up during this accounting period, Jones Company decided to record it as an expense instead of an asset at the time of payment.The journal entry to record this transaction when Jones Company pays the cash for the six months rent would be: ___________ Which sentence uses the word scrutinized correctly? To be labeled as gifted, your IQ must equal or exceed what number?a. 130b. 70c. 100d. 90 How are the High volcanic and Raised limestone the same?