What is the sum of the interior angles of the following convex polygon?​

Answer:

[tex]\huge\boxed{C)\ 12}[/tex]

Step-by-step explanation:

The three interior angles in a triangle will always add up to 180°.

Therefore

[tex]59+(6x-10)+59=180\\(59+59-10)+6x=180\\108+6x=180\qquad|\text{subtract 108 from both sides}\\10-10+6x=180-108\\6x=72\qquad|\text{divide both sides by 6}\\\dfrac{6x}{6}=\dfrac{72}{6}\\\boxed{x=12}[/tex]

Answer:

Option C

The value of x is 12°

Step-by-step explanation:

Here, we know that in a Triangle The sum of all three angles is 180°.

Now,

59° + 59 + (6x - 10)° = 180°

118° + 6x - 10° = 180°

6x + 108° = 180°

6x = 180° - 108°

6x = 72°

x = 72° ÷ 6

x = 12°

Thus, The value of x is 12°

-TheUnknownScientist

'x' was calculated correct.

y = 180° - 78° = 102°

Answer:

102

so, 180- 78 = 102 degrees.

1320xyX−4224xX−165yX−3000xy+528X+9600x+375y−12001320xyX-4224xX-165yX-3000xy+528X+9600x+375y-1200

Answer:

40%

Step-by-step explanation:

5 shots 20% for each you have 2 so 20+20=40

Answer:

169

Step-by-step explanation:

5² + 12²

25 + 144

169

Answer:

Step-by-step explanation:

A-Yes

B-No

C-Yes

D-Yes

E-Yes

If consider the Pythagorean Theorem and its converse. A, C, D, and E are correct statements.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

In this case, statement A is correct because 6, 8, and 10 are possible side lengths for a right triangle.

Statement B is incorrect because 10, 15, and 20 are not possible side lengths for a right triangle.

Statement C is correct because the Pythagorean Theorem works only for sides of a right triangle.

Statement D is correct because if the sides of a right triangle are of lengths 8 and 15, its hypotenuse is 17.

Statement E is correct because the converse of the Pythagorean Theorem allows us to calculate the side lengths of right triangles.

Thus, the correct statements would be options A, C, D, and E.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

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Answer:

Number 7 is 2

Number 6 is 64

Step-by-step explanation:

Look at my profile and follow the same steps I've been explaining lol.

Answer:

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the line is y = x+2

Answer:

He must start his journey by 11 AM

Step-by-step explanation:

Speed of Toshi while walking up the mountains is 1.5 kilometres per hour

Speed of Toshi while walking down  the mountains = 2 * Speed of Toshi while walking up the mountains = 3 kilometres per hour

Time taken to travel 9 Km in the upward direction by Toshi = 9 Km/1.5 kilometres per hour = 6 hours

Time taken to travel 9 Km in the downward direction by Toshi = 9 Km/3 kilometres per hour = 3 hours

He will take total 6 hours + 3 hours = 9 hours to travel 18 Km distance

Thus, He must start his journey by 11 AM

Answer:

HAHA

Step-by-step explanation:

NO

Answer:

X=25°

Step-by-step explanation:

[tex]x = \frac{1}{2} (t2 - 22) [/tex]

[tex] = \frac{1}{2} (50)[/tex]

[tex] = 25[/tex]

[tex]x = 25[/tex]

hope it helps u

Answer: A proportion can be solved to relate the sample to the population and solved to form an estimate.

Step-by-step explanation:

Answer: $1904.60

Step-by-step explanation:

This is 1500(1+.04/4)^24 where .04/4 is the interest rate for each compounding, or the interest rate /4, for 4 quarters.

The 24 is 4 quarters/year * 6 years

round at the end

=$1904.60

hope this helped!:)

Answer:

Dilate it by a scale factor of 5

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Simplify the following:

2^5/2^3

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to 2^5/2^3.

Combine powers. 2^5/2^3 = 2^(5 - 3):

2^(5 - 3)

Hint: | Subtract 3 from 5.

5 - 3 = 2:

2^2

Hint: | Evaluate 2^2.

2^2 = 4:

Answer: 4

Answer:

640

Step-by-step explanation:

8^2 = 64

10*64 = 640

Answer:

640

Step-by-step explanation:

b = 8

10b^2 = (10)(8^2) = (10)(64) = 640

Using the constant of proportionality, the value of  when y is 3.25 is 0.5 from the inverse variation.

An rise in one variable causes a decrease in the other and vice versa in a mathematical relationship between two variables known as inverse variation, also known as inverse proportionality or inverse relationship. The following equation represents inverse variation:

y = k/x

In this equation, "y" and "x" stand in for the two variables, and "k" is the variational constant. Throughout the connection, the constant of variation has a set value that never changes.

Using the data given;

y = kx

Let's find the value of k;

k = constant of proportionality

13 = k(2)

k = 13/2

k = 6.5

Using the value of k;

3.25 = 6.5x

x = 3.25 / 6.5

x = 0.5

NB: The options given are incorrect and if you will follow through the steps, you will understand the options are incorrect.

Learn more on inverse variations here;

https://brainly.com/question/31987518

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Answer:

$17.88

Step-by-step explanation:

Freddy earns = $750 per week

Has 3 dependents

and he is single

Tax rate = 3%  

Lets calculate Freddy's Annual Taxes and Taxable income

Freddy's Annual income = 750 *52 = $39,000

Annual Allowance for a single person = $2000

Annual allowance for 3 dependents = $2000 * 3 = $6000

Hence Freddy's Annual Taxable Income = ( 39000 - 8000 ) = $31,000

Annual withheld tax = 3% * $31,000 = $930

Therefore Freddy's weekly withheld tax = 930 / 52 = $17.88

Answer:

0.4 cups of flower (2/5)

Good luck!!

Answer:

1 1/5 cups

Step-by-step explanation:

Write and solve an equation of ratios here.  Let x be the amount of butter needed if 3 cups of flour are used.  Then, comparing the quantities of butter first (in the first column) and the quantities of flour second, we get the ratio

  x                3 cups

------------- = -------------

(4/5) cup       2 cups

Cross-multiplying, we get:

2x = 12/5, or x = 6/5

You'll need 6/5 cups of butter, or 1 1/5 cups, if you're using 3 cups of flour.

Answer:

B

Step-by-step explanation:

In steps 1 and 2 there is only addition occuring to both sides of the equation.

Answer:

78:4

Step-by-step explanation:

Answer:

x ≥ -1 ≤ 4

Step-by-step explanation:

This would be your inequality.

Answer:

Yes I have a tip! :)

Step-by-step explanation:

1. Try going to a quiet room Because if you tend to have noisy family members it easily distracts you

2. Wake up early If you wake up early it gives you good energy to get the day going on

3. Eat Breakfast Its the most important meal of the day it will Keep you healthy! :D

4. Take notes So just incase if you have an upcoming test or when your teacher says so This will keep your grades up!

5. Be well rested Well rest keeps your body up and ready :)

6. Drink plenty of water Why Water is good for you and your health

7. And try Muting and turning of all notifications of your phone It can easily distract you

8. Create a to-do list So you can get organazied

9. use headphones to keep down the noise

10. Drink coffee It keeps you Up and some say coffee keeps them focused

11. Try studying all day (take breaks if you need to)

12. Try using some tips on YT

13. Lastly I hope you have a good Day and I hope you Try staying focus I believe In you :)

-plug in earbuds or put on headphones, you dont have to play/listen to anything, but it helps block out noise

-maybe set a small goal for yourself, where if you get a class or quiz or whatever done, you go do something else that you enjoy for a few minutes and think of a new goal for the next class.

-sometimes actually playing music tends to help! at least to me

-it can be hard, but try your best to work on only your current assignment until your done with that one. nothing else.

-(if you do it at home) go into a silent room, like maybe yours, and close the door. take out anything that might distract you, like electronics.

-if you do this at home and use your computer/a computer and tend to go onto other websites for an hour instead of working, it might be best to ask someone to block those websites on your computer. thats the most major thing i can think of...

Answer:

the anwer is C

Step-by-step explanation:

I hope its help

Answer:

33.51

Step-by-step explanation:

V=4 3πr3=4 3·π·23≈33.51032

Answer:

6

Step-by-step explanation:

Answer:

i don't think 3 works for x because the only solution for x was 8

Step-by-step explanation: