Sketch a 1-cube (line), 2-cube (square), and 3-cube. What are the numbers of vertices (corners) for the N-cubes you drew in problem?

Q: Find the areas of the triangles whose vertices are given A(1, -1, 1), B(0, 1, 1), C(1, 0, -1)

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Q: 27. Find the area of the parallelogram with vertices A (-3, 0), B (-1, 3), C (5, 2), and D (3, –1).

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Q: Graph the image of rectangle KLMN after a reflection across the x-axis. 10 4 -10 -8 -6 -4 -2 4. 6.…

A: When you are reflecting a point across x axis then the x coordinate of the image point will be same…

Q: Find the Perimeter and area of a trapezoid with vertices at A(2,3), B(6,3), C(0,-1), and D(8,-1).

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Q: what  are the vertices of ΔA'B'C produced by  T⟨−3, 6⟩ (ΔABC) = ΔA'B'C?

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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: Consider a quadrilateral with vertices ܵS(-7, 2), Q(0.5, 3), R(3/2, -9/2), E(-6, -5.5) Determine…

A: The given question can be solved by using distance formula and the property of various types of…

Q: 1. Quadrilateral ABCD with vertices A(-4, 1), B(-2, 3), C(0, -2), and D(-5, -2): k = 3 A'L B'( C'(L-…

A: We are given with the vertices of quadrilateral  and need to plot the graph.…

Q: 1. If the 2 points to the right of the y-axis are the vertices of a rectangle and the point to the…

A: Given :-  The 2 points to the right of the y- axis are the vertices of a rectangle and the point to…

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

A: Given are the four points with coordinates as A1,1,3, B-2,-6,1, C0,-3,3, D3,4,-4. It is required to…

Q: Suppose that ABCD is a parallelogram, and В 3 (-3,b), А — (-4,4), C = (1,2), D = (a, 1) %3D What are…

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Q: A) What is the number of faces? B) What is the number of vertices? C) What is the number of the…

A: We have given a hexagonal prism . We have to determine its number of faces, number of vertices and…

Q: If three corners of a parallelogram are (1, 1), (4, 2), and (1, 3), what are all three of the…

A: Three corners P{1,1} ,Q{4,2} ,R{1,3} are given so three possible fourth corners are  A{4,4} B{4,0}…

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

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Q: Show that the quadrilateral with the given vertices is a parallelogram. E(-5,-2), F(-3, 3), G(3, 5),…

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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: A parallelogram has vertices at (-5, -1), (-2, -1), (-3, -4), and (-6, -4). What is the approximate…

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Q: Show that A(-4, 2), B(1, 4), C(3, -1), and D(-2, -3) are vertices of a square.

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Q: Graph the image of square ABCD after a reflection across the y-axis. 10 4 2. -10 -8- -4 0. 4. 6. 8.…

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

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

A: let the points be A1,1,3 , B-5,7,1 , C-3,10,-6 , D3,4,-4 verify that the points are the vertices of…

Q: Find the area of the parallelogram with vertices A(-4, 1), B(-2, 4), C(2, 2), and D(0, -1).

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Q: Find the vertices and the area of the triangle formed by the graphs of y=|x-3| and -x+2y=5?

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Q: Suppose that ABCD is a parallelogram, and B = (-1,b), A = (-5, 5), C = (3, 4), D = (a, 2) What are…

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Q: 5. Find the dimension of the largest rectangular building that can be placed on a right-triangular…

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Q: Find the remaining sides of a 30°-60°-90° triangle if the shortest side is 2.

A: Given : Special right triangle 30°-60°-90° Length of the shortest side is 2 The general ratio of…

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

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Q: 2. Determine whether the three points are vertices of a right triangle. P(-4, 3), Q(2, 5), R(-1, -6)

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Q: If three vertices of a rectangle are located at (1,4),(1,2),(5,2) what are the coordinates of the…

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Q: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

Q: Find the area of the parallelogram with vertices A(-3, 4), B(-1, 7), C(3, 5), and D(1, 2).

A: The given vertices of the parallelogram are A (-3,4) B (-1,7) C(3,5) D (1,2)

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, 2,…

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Q: How many vertices does a hexahedron have ?

A: A hexahedron, as the name suggests, is a six faced polyhedron. A cube is an example of a hexahedron

Q: What is the distance between the vertices 10101 and 01001? 3 2 1 4

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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: 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: how many lines of symmetry is in these figures?

A: A line of symmetry is a line that cuts the given shape into 2 equal halves. It basically means that…

Q: When the 2-D shape is completely drawn, how many points will be inside the 2-D shape?

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Q: What is the perimeter of a square with the vertices (1,7) (5,3) (1,-1) (-3,3)

A: We have given the vertices of a square. We have to find the perimeter of the given square.

Q: Philip was asked to find the number of vertices of a polyhedron with 32 faces and 60 edges. What is…

A: Philip was asked to find the number of vertices of a polyhedron with 32 faces and 60 edges. What is…

Q: 1.3 Find the area of the parallelogram with the vertices A(-5,–4), B(2, –4), C(4,4) and D(-3,4).

A: Since you have posted more than one question, we will solve the first one for you. To get remaining…

Q: If you think of diagonals as a straight line, how many vertices does this region have?

A: Given

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), в(-4, 5,…

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Q: 40. Determine the coordinates of the vertices of tangram pieces if the bottom left-hand corner is at…

A: A is  B is  C is  D is

Q: 9. What is the exact perimeter of a parallelogram with vertices at (3, 2), (4, 4), and (6, 1)?

A: To find Perimeter P?

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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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.