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Firdavs [7]
2 years ago
5

The sum of the measures of the interior angles of a polygon with n sides is __.

Mathematics
2 answers:
melisa1 [442]2 years ago
8 0

Answer: The sum of the measures of the interior angles of a polygon is always 180(n-2) degrees, where n represents the number of sides of the polygon. The sum of the measures of the exterior angles of a polygon is always 360

attashe74 [19]2 years ago
3 0

Answer:

B) (n-2)180°

Step-by-step explanation:

For any polygon, we can draw 2 fewer triangles than the given number of sides.

The sum of the measures of the angles of any triangle is 180°.  Since there are (n-2) triangles in every polygon, this means the sum of the measures of the angles of any polygon with n sides is

(n-2)180.

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Solve a) 2(x+3)=x-4 b) 4(5x-2)=2(9x+3)
Nat2105 [25]

Answer:

a) -10 b) 7

Step-by-step explanation:

a) 2(x+ 3) = x - 4

2x + 6 = x - 4

2x - x = -6 - 4

x = -10

b) 4(5x - 2) = 2(9x + 3)

20x - 8 = 18x + 6

20x - 18x = 6 + 8

2x = 14

x = 14/2

x = 7

5 0
3 years ago
Read 2 more answers
Area of a trapezium is 31.5cm. If the parallel sides are of lengths 7.3cm and 5.3cm. Calculate the perpendicular distance betwee
Anna11 [10]

Answer:

5cm

Step-by-step explanation:

Given area of trapezium = 31.5 sq. cm

Length of parallel sides = 7.3cm and 5.3cm

Formula to calculate area of trapezium is

1/2*(sum of parallel sides)*perpendicular distance between parallel sides

sum of parallel sides =  (7.3 + 5.3) = 12.6cm

substituting value of area given and sum of parallel sides we have

31.5 = 1/2* 12.6 * perpendicular distance between parallel sides

(31.5 * 2)/12.6 = perpendicular distance between parallel sides

perpendicular distance between parallel sides = 63/12.6 = 5

Therefore perpendicular distance between parallel sides for given trapezium is 5cm.

5 0
3 years ago
What is the slope of the line that passes through (2,8); (0,3)​
kakasveta [241]
8 - 3 = 5 Slope formula numerator
2 - 0 = 2 Slope formula denominator

5/2 = 2.5
4 0
3 years ago
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(x+15)/(3z-y) if x=5 z=4 y=2
maxonik [38]
The answer for your question is 2
6 0
3 years ago
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HELP PLEASE!
wel

Answers:

\text{Perimeter} = 14\sqrt{5}\\\\\text{Area} = 50\\\\

=======================================================

Work Shown:

L = 2\sqrt{5} = \text{length}

W = 5\sqrt{5} = \text{width}

P = perimeter

P = 2*(L+W)\\\\P = 2*(2\sqrt{5}+5\sqrt{5})\\\\P = 2*(7\sqrt{5})\\\\P = 14\sqrt{5}\\\\

-------------

A = area

A = L*W\\\\A = (2\sqrt{5})*(5\sqrt{5})\\\\A = (2*5)(\sqrt{5}*\sqrt{5})\\\\A = 10\sqrt{5*5}\\\\A = 10\sqrt{25}\\\\A = 10*5\\\\A = 50\\\\

3 0
2 years ago
Read 2 more answers
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