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Mashutka [201]
3 years ago
14

Find the sum of the interior angle measures of a convex 17-gon (a seventeen-sided polygon).

Mathematics
2 answers:
GuDViN [60]3 years ago
7 0

Answer:

2700°

Step-by-step explanation:

The sum of the interior angles of an n-sided convex polygon is

Sum = 180(n-2)°

For a heptadecagon, n = 17. So,

Sum = 180(17 - 2)

Sum = 180 × 15

Sum = 2700°


adelina 88 [10]3 years ago
7 0

Answer: 2700°

Step-by-step explanation: The formula for finding the sum of the measures of the interior angles of a polygon is 180 (n-2) where "n" represents the number of sides. Since our polygon has 17 sides, we can plug a 17 in for the "n" in our formula. Now, we have 180 (17 - 2). Now, we can simplify inside the parentheses first by subtracting 2 from 17 which is 15. Now, we have as followed.

180 (15) = 2700

Therefore, if a polygon has 17 sides, then the sum of the measures of its interior angles is 2700°.

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Find the center of the circle: x2 + 2x - 3 + y2 = 5.
rosijanka [135]

Answer:

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Step-by-step explanation:

x² + 2x - 3 + y²  = 5

Strategy:

Convert the equation to the centre-radius form:

(x - h)² + (y - k)² = r²

The centre of the circle is at (h, k) and the radius is r .

Solution:

Move the number to the right-hand side.

x² + 2x + y²  = 8

Complete the square for x

(Take half the coefficient of x, square it, and add to each side of the equation)

(x² + 2x + 1) + y² = 9

Complete the square for y

The coefficient of y is zero.

(x² + 2x + 1) + y² = 9

Express the result as the sum of squares

(x + 1)² + y² = 3²

h = -1; k = 0; r = 3

The centre of the circle is at \boxed{(-1,0)}

The graph of the circle below has its centre at (-1,0) and radius 3.

4 0
3 years ago
at a country concert,the ratio of number of the Boys to the number of girls is 2:7 if there are 250 more girls than boys how man
sergey [27]

Answer:

100

Step-by-step explanation:

Ratio is a fraction, so ratio of boys to girls would be written as [let boys be "b" and girls be "g"]:

\frac{b}{g}=\frac{2}{7}

Also, there are 250 more girls than boys, so we can write:

g = 250 + b

Lets substitute this into "g" of the ratio we wrote and cross mulitply and solve for b:

\frac{b}{g}=\frac{2}{7}\\\frac{b}{250+b}=\frac{2}{7}\\7b=2(250+b)\\7b=500+2b\\5b=500\\b=\frac{500}{5}=100

The number of boys = 100

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Answer:

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Step-by-step explanation:

But I'm really lazy and I really don't like math. I'm not good at it and I think I failed it last semester. true story bro.

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2 years ago
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