Philip was asked to find the number of vertices of a polyhedron with 32 faces and 60 edges. What is his error?

Q: Find the dimensions of the largest rectangle that can be inscribed in the right triangle with side…

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Q: Identify the area of the polygon that has vertices H(5,-2), P(2,-4) O(-3,-2) S(-2,4)

A: We plot the given points first

Q: It has two identical triangular faces. The other three faces are rectangles. The shape is a

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Q: Identify the number of faces, edges and vertices of the polyhedron.

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Q: If each edge of the cube is 3 Feet long, how long must the support board be?

A: Using diagonal formula for a cube,we get

Q: Find the total number of diagonals for a polygon of n sides if: a) n = 5 b) n = 10

A: a) Given: Number of sides of a polygon is, n=5. The total number of diagonals for a polygon of n…

Q: Explain why, no matter how the circuit is completed, Pip must place an even number of additional…

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Q: The roof of a water tower is composed of 6 equal isosceles triangles whose vertices meet in the…

A: The roof of a water tower is composed of 6 equal isosceles triangles. The inclined edges is of 17 ft…

Q: How many ways are there to make an octagon with 19 different sticks when order matters?

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Q: How many diagonals does hexagon and octagon have?

A: Solution: We know that Hexagon  has 6 sides and Octagon has 8 sides.

Q: .. How many rectangles would the net of a hexagonal prism have?

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Q: Farmer S. Unkist has a fruit grove consisting of lemons, bananas, and watermelons along a straight…

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Q: How can I find the sides of a triangle on a grid?

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Q: Rafaela draws a pattern consisting of a number of similar equilateral triangles. The first triangle…

A: here the next length = 1.5*previous length  second triangle length =1.5*4 = 6 third triangle length…

Q: How many edges in the polyhedron? List them.

A: To Determine: find the edges of a polyhedron  Explanation: every polyhedron has three parts  FACE :…

Q: 10. The height of a regular tetrahedron whose side is s. a) sv6 c.s/3/2 b) s/2/3 d) sv2 /3

A: Explanation and Solution is given below....

Q: How many diagonals are there in a polygon of 10 sides?

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Q: Find the perimeter of the rectangle with vertices R (−4, 1), E (−1, 4), C (5, −2), and Y (2, −5).…

A: Perimeter of Rectangle = RE + EC + CY + RY…

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: Find the areas of the triangles whose vertices are given A(-5, 3), B(1, -2), C(6, -2)

A: The given points of the  triangle are -5,3 ,1,-2,6,-2. Area of the  triangle ABC =121xAyA1xByB1xCyC…

Q: Find the perimeter of a regular hexagon whose distance from its center to a vertex is 12 inches.

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Q: hat is the area, in square inches, of a regular octagon with 9-inch sides if the distance from the…

A: To find the area of a regular octagon

Q: If the areas of two sections of a garden are 6a + 2 and 5a, what is the difference between the areas…

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Q: The sum of the interior angles is six times the sum of its exterior angles. How many diagonals does…

A: A detailed solution is given below

Q: The diagram shows a convex polygon. 2x 2x 98° 40° 2x What is the value of x?

A: here given, convex polygon with 5 sides , so sum of angles = 540

Q: Tina draws a pattern consisting of a number of similar equilateral triangles. The first triangle has…

A: Given:  The first triangle has sides of 4 cm in length and the side length of each successive…

Q: How large of an equilateral triangle can you fit inside a 2-by-2 square? Two of the three vertices…

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Q: .Front. .Right. 10. How many cubes are needed to build the base of this structure? 6. 4

A: We need to find the numbers of cube needed to build the base structure.

Q: 2) Find the length of the legs of a right triangle whose hypotenuse is 26 cm and whose area is 120…

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Q: What are the coordinates of H of this square with a height of k?

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Which shape has 6 edges, 4 faces and 4 vertices? cube cylinder cuboid triangular-based pyramid

A: A triangular based pyramid is also known as a tetrahedron. It has one triangular base with three…

Q: 10. The height of a regular tetrahedron whose side is s. a) sv6 c. s/3/2 b) s/2/3 d) sv2 /3

A: The height of a regular tetrahedron  whose side is s is given by

Q: Michelle was asked to redraw this 3D figure by adding a cube at each green shaded face. What should…

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Q: To enlarge the kit, Felix suggests including two each of two-colored cubes (using two of the colors…

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Q: How many vertices, edges, and faces are there for the polyhedron? B H. 8. 15 10 12 6. faces vertices…

A: Faces: ABCD , EFGH, ABFE , DCGH,BCGF, EFGH  6 Vertices : A , B,C,D,E,F,G,H 8 edges:…

Q: Jamie marked each vertex of a square-based pyramid with numbers 1 to 5. Then she calculated the sum…

A: Let us draw a square based pyramid ABCDE, which has five sides namely-ABE, ACE, ADE, ABC ( all these…

Q: A polyhedron that has 6 faces and 18 edges has how many vertices

A: By using Euler formula, we calculate the number of vertices in polyhedron.

Q: what is the edge length of a dodecahedron with a volume of 958 cubic inches

A: Given : volume of dodecahedron is 958 cubic inches . To find the edge length

Q: Joe wants to make a right square pyramid tent and is considering two sizes. He will either make one…

A: Solve the following

Q: A racetrack is in the shape of an elli0se, 280 feet long and 50 feet wide. What is the width 10 feet…

A: Given that

Q: How would you explain to another student how to find the number of degrees in any polygon with "n"…

A: The sum of all the angles (in degrees) in any polygon with n number of sides is n-2×180

Q: Azmi has four blocks, each in the shape of a rectangular prism and each with dimensions 2 x 3 x 6.…

A: Given: i. Dimension of rectnagular prism is 2×3×6.ii. She carefully stacks 4 blocks on a flat table…

Q: 10.How could you fit two of the outer sections together to make a parallelogram? How do you know…

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Q: graph the image of the quadrilateral using a scale factor of k=1/3

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: . How many times larger is the rectangular prism than the cube?

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Q: The sum of the measures of the interior angles of a polygon is five times the sum of the measures of…

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Q: Find the number of sides in a polygon that has 9 diagonals.

A: Number of diagonals=9

Q: Find the area of the quadrilateral with vertices A(-2, 2), B(3, 6), C(9, 6), and D(4, 2). square…

A: Given vertices of quadrilateral: