The three vertices of a triangle are located at A(1, 2, 3), B (-2, 5, -1), and C (-2, 4, 6). Find the angle θBAC at vertex A.

Q: A circle is circumscribed about a triangle with vertices A(-1,-3), B(-2,4), and C(2,1). Find the…

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Q: If a triangle has vertices (-5,-5), (-4,-6), and (-2,-1), how do you reflect this over the y=x axis

A: First of all to find the coordinates of the vertices A(-5,-5),B(-4,-6),C(-2,-1) after reflection…

Q: ABC has vertices A=(−4,−4,0), B=(−2,−1,x), and C=(−9,−8,4). Find the value for x which yields a…

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Q: In the diagram below ABC has verticles at A (-7,8) B (7,0) and C (-5,-8) Show that point A is…

A: Given ABC has vertices atA(-7,8)B(7,0)C(-5,-8)Distance between twovertices (x1,y1) &…

Q: Find the value(s) of k such that the points (6, –1), (3, k), and (-3, –7) are vertices of a right…

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Q: Find the angle between lines AB and AC where the point A(4,4,1), the point B(−4,7,7), and the point…

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Q: the coordinates of the image. 8. Square PQRS with vertices P(-5, 4), Q(2,8), R(6, 1), and S(-1, -3):…

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Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0) What…

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Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

Q: Find the perimeter of the triangle with vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).

A: Given:The vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).The perimeter of the triangle is AB + BC…

Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: A triangle has vertices P(1,1) Q(-2,-2) R(3,-2). Algebraically determine the type of triangle given…

A: Given :           A triangle has vertices P(1, 1), Q(-2, -2) and R(3, -2)   To determine the type…

Q: Find all values of x so that the triangle with vertices A-(x, -5, -2), B-(2,-8,-4), and C-(4, -9,-5)…

A: The  area of a triangle with vertices  A(x,-5,-2)  , B2,-8,-4 , C(4,-9,-5) is  '1' .  (.). Area of…

Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…