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Vera_Pavlovna [14]
2 years ago
7

If the figure is a regular polygon find the value of x

Mathematics
1 answer:
Darya [45]2 years ago
8 0

Answer:

x = 21

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 12 , then

sum = 180° × 10 = 1800°

Each of the 12 interior angles = 1800° ÷ 12 = 150

Then

7x + 3 = 150 ( subtract 3 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

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MAVERICK [17]

Answer:

-4z is the answer

Step-by-step explanation:

-3z-z

-4z

3 0
1 year ago
Which equation is true when the value of x is -12
Sophie [7]

Answer:

Which equation is true when the value of x is -12    HERE YOU GO!!

Step-by-step explanation:

tricky ... let's see ...

I notice that if we subtract xy from both sides we get

7x + xy - xy = xy - xy + 21

then

7x = 21

and

x = 21/7 = 3

so there is only one value of x that satisfies the equation

x = 3

Going back to the original equation we see that any value of y will satisfy the original equation

we can see this by rearranging things:

7x + xy - xy = 21

here, I have performed the subtraction of xy on the right side as above, but have left the left side undone

(so we don't lose the presence of y)

Note that the above can also be written as

7x + (x - x)y = 21

or

7x + 0y =21

now, since anything times zero equals zero,

y may be any number.

Let's summarize:

1) x = 3

2) y = anything

looking back at the original question;

1) the equation is true for all ordered pairs

FALSE (only one x works, not all x)

2) there are no x and y pairs for which the equation is true.

FALSE (x=3, y=anything) makes it true, i.e. (3,1)  

3) For each value of x, there is one and only one value of y that makes the equation true,

FALSE for each value of x, for the one value of x, x=3, y can be any number, which is an infinite number, not one

4) for each value of y, there is one and only on value of x that makes the equation true.

TRUE!! for all the infinite values of y you may pick, there is one and only one x you may pick, x = 3

ANSWER: STATEMENT 4 is CORRECT (TRUE)

3 0
2 years ago
The value of a car decreases by 15% for each year the car is leased. If the original price of
Alenkasestr [34]

Answer:

Around 7830 dollars

Step-by-step explanation

Times 15,000 by 0.85, you'll get 12,750. Times each product by 0.85 and you'll get around 7830 dollars

6 0
2 years ago
12. Rileigh plays softball. She has 12 softball
Lelechka [254]

Answer:

3:10

Step-by-step explanation:

i did it on paper and took a test on ratios a while ago and i got this answer have a good day and i hope you get a 100 :)

8 0
2 years ago
PLZZ help ZOOM IN THE SEE IT CLEAR easy math problem
9966 [12]

Answer:

\large\boxed{\sqrt{16}}

Step-by-step explanation:

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2 years ago
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