Find the number of sides of a convex polygon if the measures of its interior angles have a sum of 2520°. o 12 07 14 16

Q: Prove that there does not exist a Pythagorean triangle whose length of the hypotenuse and length of…

A: The objective is to prove that there does not exist a right triangle whose hypotenuse and one of its…

Q: What does it mean for two segments to be congruent?

A: What does it mean for two segments to be congruent?

Q: how the perimeter of any polygon or plane figure can be found given the coordinates of its vertices.…

A: The basic formula used to find the perimeter of a polygon is, Perimeter = sum of all sides.

Q: Four of the vertices of a parallelepiped are A = (9, –5, -6), B = (15, -3, -12),C = (1,-12, -6), and…

A: Step:-1 Given that A = 9, -5, -6,  B=15, -3, -12,  C=1, -12, -6   and  D =2, -9, 2 AB→= 15-9 i +…

Q: How many possible nonzero distances does a quadrilateral, that is not a rectangle, rhombus,…

A: The objective of the question is to determine the number of possible nonzero distances in a…

Q: 41. (2,3), (4, 9), and (-2,7) are vertices of an isosceles triangle.

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Q: Choose two figures which are topologically equivalent to each other 25

A: Solution :-

Q: Show that the triangle whose vertices are A(3, 6), B( - 6, 4), and C(1, - 2) is an isosceles…

A: to show that triangle is isosceles.

Q: What is the equation of the circle that circumscribe a 7-sided regular polygon whose two adjacent…

A: As per the question we have to find the equation of the circle circumscribing the 7-sided regular…

Q: In quadrilateral ABCD, ZA-(3x-5)°, ZB=(2x-15)°, (2x+35)° and ZD=(x+25)°. What value of x will make…

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Q: Given the equation of a circle, (x+5) +(y-2) = 32, what are the coordinates of the center and the…

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Q: 4. Find the area of the triangle with the vertices: (1,2), (1,5), and (3,2).

A:

Q: A parallelogram has both pairs of opposite sides equal. True or false?

A: Since we know that a parallelogram has a pairs of opposite sides equal and parallel

Q: How large of an equilateral triangle can you fit inside a 2-by-2 square? Two of the three vertices…

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Q: 8. Percé Rock is located at the eastern tip of Quebec's Gaspé Peninsula. Make a table of values of…

A: consider the figure as follows  mark the points as follows  and consider the approximate values

Q: . Show that a triangle with vertices (1, 4), riangle. Find its area.

A: We will solve the problem.

Q: 38. A rectangle with sides parallel to the axes has vertices at (3, - 2) and (-4, – 7). a) Find the…

A: Explanation of the answer is as follows

Q: Find the distance between the given pair of points: 1 and 7

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Q: Find the number of sides of a convex polygon if the measures of its interior angles have a sum of…

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Q: 4. Use combinations to find the maximum number of points of intersection determined by the diagonals…

A: Let A be a set of n elements. To select r objects from a collection of n elements in the set A…