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Amanda [17]
3 years ago
15

A regular polygon has 10 sides. What is the measure of each interior angle of the polygon?

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

144 = each interior angle

Step-by-step explanation:

The sum of the interior angles of a regular polygon is

(n – 2)180

If it is regular with n sides, divide by n to find each interior angle

(n – 2)180

------------------- = each interior angle

n

We know that there are 10 sides so n = 10

(10 – 2)180

------------------- = each interior angle

10

(8)180

------------------- = each interior angle

10

144 = each interior angle

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Your cell phone plan allows you 400 minutes per month so far this month you have used 265 minutes and you have 7 days left write
kati45 [8]
7x + 265 ≤ 400
Hope this helps!
5 0
3 years ago
Lena buys 3 cans of soft drinks and 5 sandwiches for a picnic . Patrick buys 9 cans of soft drinks and 10 sandwiches for the sam
iren2701 [21]

Answer:

for Lena

C = 3x   C + 5x

for Patrick

C = 9x  C = 10x

for total  C = 12x + 15x

Step-by-step explanation:

3 0
2 years ago
Division 542 dividido 2 y resta
vodomira [7]

Answer: 271

Step-by-step explanation:

\frac{542}{2}=\frac{500+40+2}{2}=250+20+1+=271

5 0
1 year ago
1. Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5
gregori [183]

Answer:

y = 3x + 1

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.

Plug this value (3) into your standard point-slope equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.

1 = 3(0) + b

To find b, multiply the slope and the input of x (0)

1 = 0 + b

Now, add 0 to both sides to isolate b.

1 = b

Plug this into your standard equation.

y = 3x + 1

This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)

Hope this helps!

3 0
3 years ago
Please Help! (Math)(tanβ)
sertanlavr [38]

Answer:

<u>Find the missing side first.</u>

  • x = \sqrt{12^2 - 7^2}  = \sqrt{144 - 49} = \sqrt{ 95}

1) tangent = opposite leg / adjacent leg

  • tanβ = √95/7
  • Correct choice is B

2) sine = opposite leg / hypotenuse

  • sinβ = √95/12
  • Correct choice is D
7 0
2 years ago
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