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The convex heptagon has 14 distinct diagonals can be drawn
Step-by-step explanation:
A polygon is said to be a heptagon if it has 7 vertices, 7 sides and 7 angles. A heptagon is called a convex heptagon if the lines connecting any two non-adjacent vertices lie completely inside the heptagon
The formula of number of diagonals in any polygon is , where
- d is the number of the diagonals of the polygon
- n is the number of sides of the polygon
∵ The heptagon has 7 sides
∴ n = 7
∵ The number of diagonals =
- Substitute n by 7 in the rule above
∴ The number of diagonals =
∴ The number of diagonals =
∴ The number of diagonals =
∴ The number of diagonals = 14
The convex heptagon has 14 distinct diagonals can be drawn
Learn more:
You can learn more about the polygons in brainly.com/question/6281564
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Given
GO.o has 3 orange picks for every 2 green
there are 25 picks in all
Find out how many picks are orange.
To proof
As given in question
GO.o has 3 orange picks for every 2 green
i.e the ratio of orange to every green becomes
total number of picks = 25
let the GO.o pick of 3 orange picks for every 2 green =x
than the equation becomes
3x + 2x = 25
5x = 25
x = 5
Than
the number of oranges = 3x
putting the value of x
= 15
the number of green = 2x
= 10
thus the 15 picks are orange.
Hence proved