How many distinct diagonals of a convex heptagon (7-sided polygon) can be drawn?
1 answer:
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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You can learn more about the polygons in brainly.com/question/6281564
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Answer:
, solution is $14.29
Step-by-step explanation:
We can create an equation for this scenario to try and solve it.
Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)
We can write the equation in two ways:
or
.
Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.
Therefore, the equation is and the solution is $14.29.
Hope this helped!