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cestrela7 [59]
3 years ago
13

What is the sum of the measures of the exterior angles of any convex polygon

Mathematics
2 answers:
allochka39001 [22]2 years ago
5 0
 If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360°
andrey2020 [161]2 years ago
3 0

Answer:

360 degrees is  sum of the measures of the exterior angles of any convex polygon.

Step-by-step explanation:

Convex Polygon:

  • A convex polygon is a polygon with all its interior angle less than 180 degrees.
  • Thus, all the vertices of the polygon will be away from the interior of the polygon.
  • If all the angles are not less than 180 degrees then it becomes concave polygon.
  • Example: Triangle is a convex polygon with three sides.

Exterior angle sum Property:

  • If we extend the side of the polygon, then the angle formed by the extended side and polygon side is an exterior angle.
  • The sum of all the exterior angles if a convex polygon is 360 degrees.
  • If this convex polygon is a regular polygon, then the sum is 360 degrees and each exterior angle is equal to \frac{360}{n}, where n is the number of sides in regular polygon.

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Diego is selling raffle tickets for $1.75 per ticket .Number of tickets sold 20 50 r Amount earned in dollars
Harlamova29_29 [7]

Step-by-step explanation:

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8 0
2 years ago
Answer for all please
malfutka [58]

Answer:

a) 'X' be the random variable in discrete distribution

b) <em> The value of y = 0.2</em>

<em>c) The mean value or  Expectation value</em>

<em>E (X) = 1.25</em>

<em>d) </em>

<em>The variance σ² of the discrete distribution function is</em>

<em>Variance ( V(x)= 1.2875</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given data

 x    :      0              1        2        3        4

P(x)  :     0.30      0.35      y      0.10   0.05

a)

  Let 'X' be the random variable in discrete distribution

 Given data is discrete distribution

<em>i) If the numbers </em>p(x_{i} )\geq 0  for all values of 'i'

ii) ∑P(x) = 1

Given data <em> </em>p(x_{i} )\geq 0  for all values of 'i'

∑P(x) = 1

0.30+0.35+y+0.10+0.05 =1

                  y + 0.8 = 1

                 y = 1 -0.8 = 0.2

<em>b) The value of y = 0.2</em>

<u><em>Step(ii):-</em></u>

<u><em>Expectation:</em></u>

Given data

 x    :      0              1          2        3        4

P(x)  :     0.30      0.35      0.2      0.10   0.05

<em>The mean value or  Expectation value</em>

<em>E (x) = ∑ x p ( X = x)</em>

<em>         =  0 × 0.30 + 1 × 0.35 + 2 × 0.2 + 3 × 0.10 + 4 × 0.05</em>

<em>        =     0 + 0.35 + 0.4 + 0.30 + 0.2</em>

<em>       =       1.25</em>

<u><em>Variance of X</em></u>

The variance σ² of the discrete distribution function is defined by

                σ²  = ∑ x² p(x=x) - μ²

                     = 0× 0.30 + 1² × 0.35 + 2²× 0.2 +3²× 0.10 + 4²× 0.05 - (1.25)²

                    = 0 + 0.35 + 0.8 + 0.9 + 0.8 - 1.5625

                   = 1.2875

<u><em>conclusion:-</em></u>

<em>The mean value or  Expectation value = 1.25</em>

<em>The variance σ² of the discrete distribution function</em>

<em>  V(X) = 1.2875</em>

   

3 0
3 years ago
A cube-shaped item needs to be painted. The item’s edge length is 2 centimeters. What is the total surface area that will be pai
marysya [2.9K]
For this case, what we must do is find the surface area of the cube.
 By definition, the surface area of a cube is given by:
 A = 6L ^ 2&#10;
 Where,
 L: length of the sides of the cube.
 Substituting values we have:
 A = 6 (2) ^ 2&#10;&#10;A = 6 (4)&#10;&#10;A = 24 cm ^ 2
 Answer:
 
The total surface area that will be painted is:
 
24 cm²
5 0
3 years ago
Read 2 more answers
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