For each of the regular solids, take the number of vertices, subtract the number of edges, and add the number of faces.  For each regular solid, what do you get? Why?

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: find the area of the parallelogram with vertices (2,4), (3, 8), (7, 12), and (8, 16). Answer:

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Q: Find the perimeter of the polygon with the vertices Q(−3, 2), R(1, 2),  S(1,−2),Q(−3, 2), R(1, 2),…

A: Perimeter of polygon = Sum of length of all sidesLet A(x1, y1) and B(x2, y2) . Then,   Length of…

Q: IfA(-2, – 1),B(a,0),C(4,6) and D(1,2) are the vertices of a parallelogram .ind the values of a and b

A: Given three vertices of a parallelogram are A(-2,-1), B (a,0), C (4,b) and D(1,2). In a…

Q: Find the perimeter of the polygon with the vertices Q(-3, 2), R(1, 2), S(1,-2), and : T(-3,-2). The…

A: The solution are next step

Q: Hello, any help for this problem would be greatly appreciated. Thank you! 7.4

A: Plot the given points xy-plane and name them in anti-clock wise direction as shown below.

Q: Without plotting the points or drawing the figure, find the coordinates of the new vertices of the…

A: given pentagon with vertices at V(3,2), W(5,10), X(6,12), Y(−0.5,1.25), Z(1,0)

Q: A = (1, 2, 8), B = (8, 1, 8), and C = (-1,-1, −8)

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Q: Match each figure with its net. Put the corresponding letter on the line next to each polyhedron.…

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Q: Find the area of a triangle having vertices A(3, 2), B(1, 8), and C(8, 12).

A: We have to find the area of triangle having vertices (3,2) , (11,8) and (8,12).

Q: A rectangle with vertices in quadrants I and IV has 2 vertices located at (2,2) and (7,2). If the…

A: Assume  length = a Width = b Vertices , ( 2 ,2 ) and ( 7,2 ) From the given vertices  length a = 5…

Q: Julian is constructing a box for actors to stand on during a school play. To make the box stronger…

A: Let the length be l, height be h, depth be d Given: The diagonals across the front and back of the…

Q: a park, Camila is creating two designs for a fenced-in region so that dogs have a safe place to…

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Q: Let A (1, 2, -1), B (3, -1,4) and C (2,6,2) be three vertices of parallelogram ABCD a-Find the…

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Q: . Prove that the figure with the coordinates given is a parallelogram. (Use diagonals bisect each…

A: Note : A & C are diagonally opposite points  And, B & D are diagonally opposite points.

Q: Aston is making a wooden picture frame in the shape of a parallelogram. He has two pieces of wood…

A: The objective of this question is to understand how to construct a parallelogram using given lengths…

Q: Given the triangle J, with vertices J=(0,0), K=(3,1), and L=(-2,6). FIND the coordinates of its…

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Q: How many vertices does this polyhedron have? Options are: 3, 4, 5, & 6.

A: Vertex of polyhedron is a point at which three or more polyhedron edges of a polyhedron meet.

Q: The area of the triangle formed by the vertices (2, −1, −1); (1, 1, −2) and (−3, 2, −2) is:

A: NOTE: Refresh your page if you can't see any equations. . . .

Q: 2 3 4 5 B = 21 square inches, V = 147 cubic inches B = 27 square inches, V = 324 cubic inches B = 22…

A: Given query is to arrange form largest to smallest height.

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: 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