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To determine the number of sides ( n ) in a polygon with 252 diagonals, we use the formula for the number of diagonals in a polygon: ( D = \frac{n(n-3)}{2} ). Setting this equal to 252 gives us the equation ( \frac{n(n-3)}{2} = 252 ). Solving this leads to ( n(n-3) = 504 ), or ( n^2 - 3n - 504 = 0 ). The positive solution to this quadratic equation is ( n = 24 ), so the polygon has 24 sides.
What else can I help you with?
How many diagonals are there in a 25-gon?
1/2*(252-75) = 275 diagonals
How many diagonals does a 24 side polygon have?
(n x n - 3n)/2 (24 x 24 - 3x24)/2 (576 - 72)/2 504/2 = 252
How many sides does a regular polygon have if each exterior angle is 2520 degrees?
An exterior angle of 2520 degrees is impossible. Assuming you mean 252 degrees, this would make each interior angle 108 degrees, as 360- 252 = 108. A regular polygon with 108-degree interior angles has 5 sides, or in other words, it is a regular pentagon.
What is 252 over 1000 reduced?
252 / 1,000 = 63 / 250 by dividing both sides by 4
How many weeks is are in 252?
There are 36 weeks in 252 days.
How many sides does an irregular polygon have if it has 252 diagonals showing work?
Let its sides be x and rearrange the diagonal formula into a quadratic equation:- So: 0.5(x^2-3x) = 252 Then: x^2-3n-504 = 0 Solving the quadratic equation: gives x a positive value of 24 Therefore the polygon has 24 sides irrespective of it being irregular or regular
How many diagonals are in a 24-gon?
252 diagonals
How many diagonals does a 25 sided figure have?
0.5*(252-75) = 275 diagonals
How many diagonals are there in a 25-gon?
1/2*(252-75) = 275 diagonals
How many diagonals does a 24 side polygon have?
(n x n - 3n)/2 (24 x 24 - 3x24)/2 (576 - 72)/2 504/2 = 252
How many sides does a regular polygon have if each exterior angle is 2520 degrees?
An exterior angle of 2520 degrees is impossible. Assuming you mean 252 degrees, this would make each interior angle 108 degrees, as 360- 252 = 108. A regular polygon with 108-degree interior angles has 5 sides, or in other words, it is a regular pentagon.
What is 252 over 1000 reduced?
252 / 1,000 = 63 / 250 by dividing both sides by 4
How many weeks is are in 252?
There are 36 weeks in 252 days.
What two numbers are multiplied to make 252?
-2*126 = -252 -4*63=-252 4*(-63)=-252 and many more answers are possibke
How many feet in 252 inches?
252 inches = 21 feet
252 in equals how many feet?
252 inches=21 feet
How many times can 8 go into 252?
252/8 = 31.5
