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
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Answer:
B and C
Step-by-step explanation:
For the first one, any two shades of paint will be different if they're different numbers, and the same shade if they're the same numbers. Knowing this, we can see:
A , D, and E are all the same number (1/3) so they're all the same shade.
The remaining shades (B and C) are both 1/2 so they're the same shade.
Therefore there are two different shades of paint.
For the second one, we know that the more red the shade is, the larger the fraction will be. So we just need to look for the shades with the largest fraction. These are shades B and C, because they are both 1/2 (aka 50% red), whereas all the others are 1/3 (aka 33.3% red).
Y=4/5+2 this is in slope interception
Answer: The angle is in the second quandrant
Step-by-step explanation:
If sin of theta is greater than 0, the angle theta has to be in either the first or second quandrant. If tangent of theta is less than 0, it cannot be in the first or third quandrant. Therefore, we know the angle is in the second quandrant.
Answer:
I think it's obtuse hope this helped have an amazing day
