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laiz [17]
3 years ago
12

What is the value of x?

Mathematics
1 answer:
garri49 [273]3 years ago
7 0

Answer:

x = 8

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Sum the exterior angles and equate to 360

62 + 66 + 77 + 59 + 12x = 360, that is

264 + 12x = 360 ( subtract 264 from both sides )

12x = 96 ( divide both sides by 12 )

x = 8

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What is the length of the unknown side of the right triangle?
DerKrebs [107]

Answer:

13

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem

a^2+b^2=c^2

where<em> a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.

We know that the legs are 5 and 12. We also know the hypotenuse is x, or unknown.

Substitute 5 in for <em>a</em>, 12 for <em>b, </em>and x for <em>c.</em>

<em />5^2+12^2=x^2<em />

Evaluate the exponents.

5^2 is the same as 5*5, which is 25.

12^2 is the same as 12*12, which is 144.

25+144=x^2

Add 25 and 144

169=x^2

We are trying to find out what <em>x</em> is. In order to do this, we have to get <em>x</em> alone. Since x is being squared, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.

\sqrt{169} =\sqrt{x^2} \\\\\sqrt{169}=x\\13=x

The hypotenuse is 13.

4 0
3 years ago
Read 2 more answers
Solve the mathematical puzzle. Determine the digits of F from these clues. The digits of F are all the same. The sum of all the
Yanka [14]
The answer is 3333.
The digits of F are all the same. ✔ They all have same digit 3 
The sum of all the digits of F is 12✔ 3+3+3+3=12 
When any two of the digits are multiplied together, the answer is 9.✔ 3*3= 9 
F is a four-digit number.✔ 3 3 3 3
    1 2 3 4
8 0
4 years ago
Read 2 more answers
Solve the system using elimination and describe your steps. Be sure to verify your solution. • x = y - 3 2x + y = 12
hram777 [196]

So these are our two equations: 2x+y=12\\x=y-3

Before we can use elimination, subtract y on both sides of the first equation: 2x=-y+12\\x=y-3

Now we are able to use elimination. To eliminate the y variable, add the two equations together to get 3x=9 . From here we can solve for x.

For this, just divide both sides by 3 and your first answer will be x=3

Now that we have the value of x, substitute it into either equation to solve for y:

2*3+y=12\\6+y=12\\y=6\\\\3=y-3\\6=y

<u>In short, x = 3 and y = 6.</u>

6 0
4 years ago
HELP! I NEED TO GET THIS DONE QUICK!! PLEASE!<br> I need help with 3, 7, 8, and 12!
monitta
The answer to the question

5 0
3 years ago
*i'll give brainliest*
My name is Ann [436]

Answer:1/3 feet per hour

Step-by-step explanation:

4 0
3 years ago
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