a golf course placed an order of 5075 golf balls if there are 7 balls in each package how many packages did the golf course orde
1 answer:
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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
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The equation of the line is
Explanation:
The given equation is
<u>Slope:</u>
Since, the equation of the line is perpendicular to the equation , then, the slope is given by
Hence, the slope is
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the point (-2,3) and the slope , in the above formula, we get,
Simplifying, we get,
Therefore, the equation of the line is