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Mazyrski [523]
4 years ago
15

Which polygon has an interior angle sum of 1080°?

Mathematics
2 answers:
stich3 [128]4 years ago
8 0

Answer:

Octagon

Step-by-step explanation:

The sum of the interior angles of a polygon is

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

180° (n - 2) = 1080° ( divide both sides by 180° )

n - 2 = 6 ( add 2 to both sides )

n = 8 ← octagon

Rus_ich [418]4 years ago
3 0

Step-by-step explanation:

  • The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.
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3 years ago
Kite KLMN has vertices at K(1,3) L(2,4) M(3,3) N(2,0). After the kite is rotated, K' has coordinates (-3,1). Describe the rotati
gregori [183]

The coordinates of L ', M' and N ': (-4,2); (-3.3); (0.2)

<h3>Further explanation </h3>

Transformation is a change in shape or change in location from a building to another build.

A build can be changed in shape or location using transformation

There are several forms of transformation, including translation, dilation, rotation or reflection.

Rotation is a change in the position of an object because it is rotated with certain angles and centers

Generally for rotations with angles of 90 and 180:

  •  center (a, b)

90 °: (x, y) → (-y + a + b, x -a + b)

180 °: (x, y) → (-x + 2a + b, -y + 2b)

  • center (0,0)

90 °: (x, y) → (-y, x)

180 °: (x, y) → (-x, -y)

K (1,3) L (2,4) M (3,3) N (2,0). After the kite is rotated, K 'has coordinates (-3,1)

If we look at coordinates K -> K ' meets the 90 ° rotation rule: (x, y) → (-y, x) with a center of 0.0

so the coordinates of another point

 L (2,4) ---> -4,2

M (3,3) ---> -3,3

N (2.0) ----> 0.2

<h3>Learn more </h3>

Compare a dilation to the other transformations

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What is the equation of the line connecting (1,5) and (4,14)?
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To find the slope of the line:
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(14-5)/(4-1)=(9)/(3)=3

Only one of your 4 possible answers has 3 as a slope. However, plugging in each point into the y=mx+b equation, the y-intercept consistently comes out as 2..
y=mx+b
14=3(4)+b  b=2
5=3(1)+b    b=2
y=3x+2
If there is a consistent, positive slope (from your question, this does not seem to have a quadratic as an option), 3x+5 is not even a viable solution because x=1 when the y-value is 5 (and thus no other x value {0} could have a y-value of 5). It seems as though you have a typo on your hands. Hopefully this helps?
3 0
3 years ago
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