Let U be the set of all triangles in a plane. If A is the set of all triangles with at least one angle different from 60°, what is A′?

Q: The distance from (6, 8, 11) to the yz-plane is: A. 10 OB. 7 O C. 5 O D. 6

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Q: If M is the midpoint of AB in triangle ABΩ, prove that ∠A ≅ ∠B if and only if ∠AMΩ is a right angle.

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Q: Prove that the points M(2, 5), N(12, 3), and O(10, 11) are the vertices of a right triangle

A: Given the points

Q: Prove AB and Let B, be a point on AC such that AB, = AC. 8. Let AABC be a triangle. Let C1 be a…

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Q: Let a and m be real numbers, u = (1, a, 2, m, -3), and w = (2, а, 2, т, 3). Then the distance…

A: Let's find.

Q: Let A, B and C be three points in a n. g. lying on a circle with center D. Show that: if D is in…

A: Saccheri theorem states that the sum of angles of a triangle is atmost 180°.

Q: MBC is an equilateral triangle with A(0, 0) and B(a, 0), (a>0). , M, and N are the foot of the…

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Q: Show that a triangle with vertices at A(−1, 2), B(4, 1), and C(5, 6) is isosceles. Distance from…

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Q: In hyperbolic geometry, prove that the Omega triangles ABΩ and A′B′Ω′ are congruent if the pair of…

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Q: B. Directions: Prove that the pair of angles are coterminal. Show your complete solution. 3. -576°…

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Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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Q: 2. It is possible for two angles of a triangle in the hyperbolic plane to each have a measure of 2.

A: Solution

Q: Prove the following statements about sets A and B. (AUB)° = A° Bº

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Q: Ex.: Find the area of the triangle whose vertices are A(1,-1,0), B(2,1,-1) and C(-1, 1,2).

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Q: No three of the points A, B, C, D are collinear. Prove that the angle between the circumcircles of…

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Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle -160°.

A: We have to Find a Coterminal angle with -160° To Find a Coterminal angle we have to add 360 degrees…

Q: (6) Prove the bisector of an angle A is the set of all points which are equidistant from the lines…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: a) Find the area of the triangle formed by the points A(1, 2, -1), B(5, 9, 0) and C(-6, 0, 3). )…

A: a)  area=27.88 b) angle between vectors = 0 degree

Q: 3) Name three collinear points. b. A, B, and C d. A, D, and C a E, D, and A c. E, F, and C D

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.