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kiruha [24]
3 years ago
13

A polygon has 11 sides. What is the sum of the measure of the interior angles of the polygon? 1800° 1620° 1440° 1980°

Mathematics
2 answers:
dolphi86 [110]3 years ago
7 0

Answer:

  1620°

Step-by-step explanation:

The formula for finding that measure is ...

  sum of interior angles of n-sided convex polygon = 180°×(n -2)

For n=11, this is

  sum = 180°×9 = 1620°

_____

Another way to get there is to remember that the sum of <em>exterior</em> angles is always 360° for a convex polygon. Then the total (interior + exterior) of the angles of an n-sided polygon is 180°×n. Subtracting the sum of exterior angles gives the total of interior angles: 180°×n -360° = 180°×(n -2).

Papessa [141]3 years ago
6 0

Answer:

1620°

The formula for finding that measure is ...

 sum of interior angles of n-sided convex polygon = 180°×(n -2)

For n=11, this is

 sum = 180°×9 = 1620°

_____

Another way to get there is to remember that the sum of exterior angles is always 360° for a convex polygon. Then the total (interior + exterior) of the angles of an n-sided polygon is 180°×n. Subtracting the sum of exterior angles gives the total of interior angles: 180°×n -360° = 180°×(n -2).

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Crank

Answer:

D

Step-by-step explanation:

or, x=88+46(exterior angle is equal to sum of two opposite interior angle)

or, x=134

7 0
3 years ago
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? select two options. x2
svetlana [45]

The equation which represents the circle is x²+(y-3)²=36. The correct option is A.

Given that the circle have diameter 12 units and a center that lies on the y-axis.

A circle is a closed curve drawn from a fixed point called the center, and all points on the curve are equidistant from the midpoint of the center.

The standard form for finding the equation of a circle is expressed in the form is

(x-a)²+(y-b)²=r²             ......(1)

Where (a,b) is the center and r is the radius.

Given that the diameter is 12.

So, the radius is 12/2=6

It is also given that center lies on the y-axis therefore the center will be (0,3).

Now, we will substitute these values in equation (1), we get

(x-0)²+(y-3)²=6²

x²+(y-3)²=36

Hence, the equation which represents the circle with diameter 12 units and center lies on the y-axis is x²+(y-3)²=36.

Learn more about the equation of circle from here brainly.com/question/24810873

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4 0
1 year ago
What is 14 divided bye 3
bonufazy [111]

Answer:

4.66

14÷ 3 = 4 r 2

add 0 to 2 ( this attracts a decimal point in your answer)

20 ÷ 3 = 6r 2

and = 4.66

6 0
2 years ago
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Using inductive reasoning, what are the next three numbers in the sequence 3, 6, 12, 24? 48, 96, 192 36, 48, 60 30, 48, 56 72, 1
Andrej [43]
For the sequence each term is obtained by multiplying the preceding term by 2.

3, 6, 12, 24, 48, 96, 192

Therefore, the next three terms are 48, 96 and 192.
4 0
4 years ago
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Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

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Area = 3x12/2

Area = 36/2

Area = 18 square inches

4 0
2 years ago
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