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Hoochie [10]
2 years ago
7

Find the measure of each interior angle of the regular polygon (The polygon has 12 sides)​

Mathematics
2 answers:
Nostrana [21]2 years ago
5 0

Answer:

150°

Step-by-step explanation:

To find the sum of all the interior angles in a regular polygon, us this formula, where n is the number of sides: (n-2)*180

(12-2)=10

10*180=1800

Now we have the sum of all the angles. But we aren't done yet! We have to divide this value by the number of sides to find the measure of one angle.

So,

1800/12=

150

Hope this helps!

alexdok [17]2 years ago
3 0

Answer:

150 degrees.

Step-by-step explanation:

So every polygon's interior angles will always add up to a multiple of 180 degrees depending on the amount of sides, if it's a regular polygon all interior angles will be the same.

(3 sides = 180 degrees, 4 sides = 360 degrees, 5 sides = 540 degrees etc.)

12 sides will always add up to 1800 degrees.

1800 / 12 = 150

Therefore, each interior angle is 150 degrees.

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A restaurant's profits for the first three weeks of September are $15,000; $9,300; and $12,000. What are the average profits for
Taya2010 [7]

Answer:

$12100

Step-by-step explanation:

Step one:

Given data

The given profits are

First week= $15,000

Second week= $9300

Third week = $12,000

Required

The average profit

Step two:

The number of weeks is 3

hence the average is

= 15000+9300+12000/3

=36300/3

=$12100

5 0
2 years ago
Solve 4/5x - 3 3/4x =2 1/2
faust18 [17]
First one subtract 4/5 and 3 3/4 then divide both sides by the number you get from subtracting.
4 0
3 years ago
Identify a solution of the equation: log2x+log(x−5)=2
Harrizon [31]

Answer:

  • 3.x= 10

Step-by-step explanation:

  • log 2x + log (x - 5) = 2
  • log (2x(x - 5)) = 2
  • 2x(x - 5) = 10²
  • 2(x² - 5x) = 100
  • x² - 5x - 50 = 0
  • x² + 5x - 10x - 50 = 0
  • x(x + 5) - 10(x + 5) = 0
  • (x - 10)(x + 5) = 0
  • x = 10
  • x = -5, this root is discounted as log should be positive.

Correct choice is 3.

6 0
2 years ago
Twenty four over the quantity of 3 x minus two. Find f(−2).
TEA [102]
Answer:

f(-2) = -3

Explanation:

Not sure if those last couple numbers are answer choices, but I'm going to infer that they might be.

Twenty four over the quantity of 3 x minus two in standard form is:

f(x) = <span>24<span>3x−2</span></span>

Since the number in the ( ) = x, plug in for x using f(-2)

<span>24<span>3∗<span>(−2)</span>−2</span></span>

P E {M D} {A S} for where to solve first

Multiply the 3 and (-2):

<span>24<span>−6−2</span></span>

Add -6 and -2:

<span>24<span>−8</span></span>

Divide the rest:

f(-2) = -3

3 0
3 years ago
The relationship between two numbers is described below, where x represents the first number and y represents the second number.
Daniel [21]

X=y+16

4y-1=7

Solve on both sides

4y=8

Y=8/2

Y=4

X= (4)+16

X=20

5 0
3 years ago
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