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galina1969 [7]
3 years ago
5

the sum of the interior angles of the polygon is 20 right angles. how many sides does the polygon have?

Mathematics
1 answer:
Mumz [18]3 years ago
7 0
We have a polygon whose the sum of interior angles is 20 right angles (the measurement of each right angle is 90°), that means
the sum = 20 × 90°
the sum = 1800°

The sum of interior angles on any polygon could be determined using formula
sum = (n - 2) × 180°
n stands for the number of sides the polygon has

sum = (n - 2) × 180°
1800° = (n - 2) × 180°
1800°/180° = n - 2
10 = n - 2
n = 12

The polygon has 12 sides
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Answer: the cost of one apple is $1

Step-by-step explanation:

Let x represent the cost of one apple.

Let y represent the cost of one Pomegranate.

Donata bought 3 Apples and 5 Pomegranates at the local supermarket for a total of $16.50. This means that

3x + 5y = 16.5 - - - - - - - - - - - - -1

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3 years ago
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How would you solve this? help.
Eddi Din [679]

Answer:

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<em>Radius: </em>2\sqrt{5}<em />

Step-by-step explanation:

<u>Midpoint and Distance Between two Points</u>

Given two points A(x1,y1) and B(x2,y2), the midpoint M(xm,ym) between A and B has the following coordinates:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

The distance between both points is given by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Point (5,7) is the center of circle A, and point (1,-1) is the center of the circle B. Given both points belong to circle C, the center of C must be the midpoint from A to B:

\displaystyle x_m=\frac{5+1}{2}=\frac{6}{2}=3

\displaystyle y_m=\frac{7-1}{2}=\frac{6}{2}=3

Center of circle C: (3,3)

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d=\sqrt{(1-5)^2+(-1-7)^2}

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The radius of C is d/2:

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Center: (3,3)

Radius: 2\sqrt{5}

8 0
3 years ago
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