A baseball diamond is a square, 89.0 ft on a side, with home plate and the three bases as vertices. The pitcher's position is 58.5 ft from home plate. Find the distance from the pitcher's position to each 2nd base of the bases. 3rd base Ist base 58.5 ft 89.0 ft Home plate ..... The distance from the pitcher's position to 1st base, 2nd base, and 3rd base is (Round to the nearest tenth as needed.) ft, ft, and ft, respectively.

Q: The coordinates of three of the vertices of parallelogram ABCD are A(1, 0), B(2, 3), C(3, 2). What…

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Q: Given the vertices A(-5,-4,8), B(2,3,1), C (4,1, –2), D(6,3,7). of the pyramid. Find the length of…

A: we have been given the vertices A(-5,-4,8), B(2,3,1), C(4,1,-2) and D(6,3,7) of the pyramid. we have…

Q: Show that the points (a,a),(-a,-a) and (-V3a, v3a) are the За vertice of an equilateral triangle.…

A: Given the co-ordinate of a triangle Let A=(a,a)B=(−a,−a)C=(−3a,3a)

Q: The three fixed vertices of a parallelogram are A(a1,a2), B(b1,b2) and C(c1,c2). If the area of…

A: Given that three vertex of parallelogram are Aa1,a2 ,Bb1,b2 and Cc1,c2 if the area of the triangle…

Q: The length, breadth and height of a cuboid are in the ratio 2:3:2/3. Then, the ratio of diagonal to…

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Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: Given points are , (-4,9) , (-2,6), (3,-6)Let P =(-4,9)Q = 9-2,6)R = (3,-6)Hence peremeter = Length…

Q: Philolaus called the cube a “geometric harmony," because of the num- ber of its faces, vertices, and…

A: Given: History of math-Philolaus called the cube a geometric harmony" because of the number of it's…

Q: Given that the points A(-3,3),B(2,-4),C(9,-9),and D(4,-2) are vertices of the rhombus ABCD find the…

A: We have to find the coordinates of the point of intersection of its two diagonals

Q: Show that the points (-2, 4), (3, -1), (-1, -3) are the vertices of an isosceles triangle, and find…

A: Let the given points be - A = -2, 4B = 3, -1C = -1, -3Now, Let's find the distance AB between point…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-2, -6,…

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Q: Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1)…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-8, 5,…

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Q: Find the equation of the perpendicular bisector of side of the triangle having vertices A…

A: The triangle has vertices A (-1,-3),B(5,-3) and C(5,5) so to find the perpendicular bisectors let D,…

Q: What are the coordinates of the vertices of the triangle after the translation 2 units up?

A: For the translation 2 units up. The points on the graph change by  (x,y) goes to (x,y+2).

Q: A garden shaped like a rhombus has a perimeter of 100 feet and a 60 degree angle. Find the…

A: Rhombus has 4 equal sides. Perimeter = 100 feet so each side = 100/4 = 25 feet

Q: The three fixed vertices of a parallelogram are A(a1,a2), B(b1,b2) and C(c1,c2). If the area of…

A: Given: Three fixed vertices of a parallelogram are Aa1,a2, Bb1,b2 and Cc1,c2. The area of triangle…

Q: An angle is in standard position if its vertex is at the ________ and its initial side isalong the…

A: An angle is in standard position if its vertex is at the ________ and its initial side is along the…

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

A: A(2, 1), B(3, -5) and C(1, -3)

Q: Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1)…

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Q: A rectangle ABCD which measures 18 centimeters by 24 centimeters is folded once perpendicular to…

A: SOLUTION: Let ∠DCA=θ; tanθ=18/24=3/4 AC=18^2+24^2=30 Length of crease = AC*tanθ=30*(3/4)=22.5…

Q: What type of quadrilateral has the vertices A(3, 6), B(3,3), C(6, 3),and D(6,6)?* O square O…

A: Correct answar would be option (A).

Q: A rectangle ABCD which measures 18 centimeters by 24 centimeters is folded once perpendicular to…

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Q: Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C =…

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Q: The three vertices of a parallelogram taken in order are (-1,0).(3, 1) and (2, 2)respectively.Find…

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Q: Given two planes, discuss the various possibilities for the set of points they have in common. Then…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(2, -1,…

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Q: Verify that the points A(0, 3, 2), B(1, 5, 5), C(6, 9, 5), D(5, 7, 2) are the vertices of a…

A: Given points are A(0,3,2), B(1,5,5), C(6,9,5), D(5,7,2).

Q: A regular triangular pyramid, the length of its edge is 3, the height of the pyramid?

A: given length of edge=3 let s=3 height(h)=s23

Q: find the perimeter of the triangle with vertices at A(0,0), B(-4,-3), and C(-7,0).

A: the perimeter of the triangle with vertices at A(0,0), B(-4,-3), and C(-7,0).

Q: Find the perimeter of the triangle with vertices at A(0,0) B(-3,-4) C(-5,0)

A: Perimeter of triangle = sun of all sides of a triangle.

Q: What is the most precise name for quadrilateral ABCD with vertices A(-1,0), B(4,0), C(5,4), and…

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Q: Verify that the points A(2, −3, 1), B(6, 5, −1), C(7, 2, 2), D(3, −6, 4) are the vertices of a…

A: Given: The points A2,-3,1, B6,5,-1, C7,2,2, D3,-6,4.

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

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Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: Two vertices of equivalent triangle are 0, 0  and  2a, 0. Clearly, the distance between 0, 0  and…

Q: The diagonal of a parallelogram divides it into two congruent triangles.

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Q: Find the length of a side of a rhombus whose diagonals 48 cm and 14 cm long. are

A: Given, The diagonals of the rhombus are 48 cm and 14cm long. In the rhombus CB= 48 cm and AD= 14 cm…

Q: Show that the triangle with vertices A(0, 0), B(1, √3), and C(2, 0) is equilateral.

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Q: Find the measures of the angles of the triangle whose vertices are A = (- 3,0), B = (2,1), and C =…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, -2,…

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Q: The three vertices of a parallelogram taken in order are (-1, 0).(3, 1) and (2, 2)respectively.Find…

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Q: Find the lengths of the sides of a triangle whose vertices are at (2, 3), (5, -1), and (-4, -5).

A: To find the length of the sides of the triangle, the distance formula is used. According to the…

Q: In the following diagram, a square-based pyramid was positioned, so that both its vertex and…

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Q: Prove that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices.…

A: To solve the given problem

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, -3,…

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Q: A rhombus has sides of length 100 centimeters, and the angle at one of the vertices is 70°.…

A: Given the rhombus of side length 100cm and the angle at one of the vertices is 70 degree. We need to…

Q: What is the most precise name for quadrilateral ABCD with vertices A(-2, 4), B(3, 4), C(6, 0), and…

A: We can answer the question as below.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-5, 7,…

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Q: At the center of the lobby of a hotel is an artificial pond in the shape of an octagon serving as an…

A: Given that there is an artificial pond in the shape of an octagon. Also given that the distance…