A regular polyhedron has 12 edges and 6 vertices. a) Use Euler's equation to find the number of faces. b) Use the result from part (a) to name the regular polyhedron.

Q: What is the sum of the interior angles of the polygon pictured below?

A: Interior angel of a polygon is given by : θ = (n-2)×180°

Q: Is there a regular polygon with 7 diagonals? Yes No If so, how many sides does it have? (If such a…

A: We know that  Diagonals of polygon=n(n-3)/2 .... equa 1 Here, n is number of side of polygogons…

Q: Two chords of a circle measuring 40 m and 68 m are perpendicular to each other. If the 68-m chord…

A: Topic - circles

Q: Find the measure of a central angle of a regular polygon that has 54 diagonals.

A: We have to find measure of central angle of the regular polygon that has 54 diagonals. We know the…

Q: Can you make a pyramid in which the triangular faces are not all congruent?

A: We need to draw a pyramid whose triangular faces are not all congruent.

Q: Find the number of sides in a polygon whose sum of measures for its interior angles is 2160°.

A: Given: Interior angles sum is 2160o.

Q: Calculate the length of the third side of an isosceles triangle whose apex is 42 degrees and whose…

A:

Q: For the polyhedron, use Euler's Formula to find the missing number.

A: Euler's formula states that The number of vertices V, faces F, and edges E in a convex 3-dimensional…

Q: Is it possible to rotate a polygon to form a cube? Explain.

A: No, it is not possible to rotate a polygon to form a cube.

Q: A polyhedron has 12 faces and 30 edges. How many vertices does it have ?

A: Given,            A polyhedron has 12 faces and 30 edges.

Q: Consider the triangular prism shown in Exercise 2. a) How many vertices does it have? b) How many…

A: A triangular prism is as shown below :

Q: Is there a regular polygon with 8 diagonals? If so, how many sides does it have?

A: We have to find number of sides in regular polygon if possible where number of diagonals are 8. We…

Q: What is the sum of the interior angles of the polygon shown below?

A:

Q: 10. Name the two conditions in order for a polygon to be a regular polygon.

A: To write: The two conditions in order for a polygon to be a regular polygon.

Q: For the polyhedron, use Euler's Formula to find the missing number. faces: edges: 11 vertices: 6 The…

A: Euler's formula: F + V = E + 2 where F is the number of faces, V the number of vertices, and E the…

Q: The diagonals of a non-isosceles trapezoid divide the midline into three segments, whose lengths are…

A:

Q: The US Pentagon is a regular pentagon whose outer walls are each 921 feet in length. a. Find the…

A: The LMBNO is a regular pentagon.  The side LM = 921 feet   We need to find the area of the pentagon…

Q: 1.Is the solid a prism or a pyramid? 2.Name the vertex (apex) of the pyramid. 3.Name all the…

A: To Determine: 1.Is the solid a prism or a pyramid? 2.Name the vertex (apex) of the pyramid. 3.Name…

Q: What is the cross section perpendicular to the base of a square pyramid passing through the vertex?…

A:

Q: 3. If one side of a rhombus measures 12 cm, find its perimeter.

A: If one side of a rhombus measures 12 cm. We have to find the perimeter of rhombus.

Q: For a regular hexahedron, find the number of faces, vertices, and edges in the polyhedron. Then…

A: Given: regular hexahedron To find :  Number of faces,…

Q: 10. What polygon forms the base of a hexagonal pyramid?

A: A hexagonal pyramid is a geometrical figure that has hexagon base and 6 isosceles triangles

Q: In an isosceles triangle with vertex angle of 60° and legs 10 m long, the length of the base is____?

A: The vertex angle of the isosceles triangle is 60° and legs are 10 m long. Then the sum of the other…

Q: A can is about to stack in the form of a two dimensional Christmas tree, if the required base of the…

A: This is a question related to sequence and series part. From base the number of can will be…

Q: For a regular tetrahedron, find the number of faces, vertices, and edges in the polyhedron. Then…

A: Given- A regular tetrahedron. To find- The number of faces , vertices and edges and then verify the…

Q: Aregular pentagon is shown

A:

Q: What is the distance in cm between two vertices of a cube which are farthest from each other if the…

A: We need to find the distance between  two vertices of a cube which are farthest from each  other if…

Q: As the number of sides of a regular polygon increases, does each interior angle increase or decrease…

A:

Q: Two similar polygons have perimeters in the ratio 3:5. Find the side in the second polygon…

A: Given that ratio of perimeter of two similar polygon is 3:5 To find the corresponding side of second…

Q: What kind of polygons are used to tessellate the sphere?

A: Kind of polygons used to tessellate the sphere:

Q: A polyhedron (not regular) has 11 vertices and 9 faces. How many edges does it have?

A: We have to find edges

Q: Find the measure (in degrees) of a central angle of a regular polygon that has 20 diagonals.

A: This question is related to polygons, we will solve it using given information.

Q: Find the measure of a central angle of a regular polygon that has 35 diagonals.

A: polygon: Let the polygon has n sides,We need to find the number of sides whose diagonals are…

Q: Use Euler's Formula to find the number of vertices in the given polyhedron. 5 faces: 1 rectangle and…

A: Euler's formula  V-E+F=2 Where   is the number of vertices, E is the number of edges, F is the…

Q: Is there a regular polygon whose angle at the center is 17 °? 7°30'?

A: We first convert 17 1/7 into an improper fraction Then we divide 360 degrees by 170/7 to find the…

Q: What happens to the inscribed polygon as the number of its sides increases?

A: topic - polygon

Q: A polyhedron (not regular) has 10 vertices and 7 faces. How many edges does it have?

A: Given that polyhedron has 10 vertices and 7 faces. We need to find the number of edges in the…

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: Determine the number of sides of the regular polygon in which each exterior angle measures 10° sides

A: Answer and explanation is given below...

Q: Use Euler's Formula to find the number of vertices in the given polyhedron. 8 faces: 2 hexagons and…

A:

Q: The sum of the interior angles of a polygon of n sides is

A: For a polygon, Let the number of sides of a polygon is n. The sum of all the interior angles of a…

Q: For the polyhedron, use Euler's Formula to find the missing number. faces: 8 edges: vertices: 6

A: Euler's formula is: F+V=E+2

Q: Is there a regular polygon whose angle at the center is 7°30'?

A: We have given the central angle 7°30'. In terms of degrees, 7°30' = 7° + 0.5° = 7.5°. The central…

Q: The minimum number of vertices needed to draw an 11-sided Polygon using GL_TRIANGLE_STRIP is a. 22…

A: Solution...

Q: What polygon is formed by the intersection of plane N and the octagonal prism shown?

A: Here the intersection is formed by the plane N and octagonal prism. Polygon formed is just an…

Q: 14. 15. 13. 14. Mathematics in the Modern World 15.

A: Given : Solid structure is given

Q: The face of a clock has the shape of a regular polygon with 12 sides. What is the measure of the…

A: To find: The measure of angle formed by two consecutive side. Given: The regular polygon has 12…

Q: Determine the coordinates of the hexagon if a regular hexagon of side length 1 unit is inscribed in…

A: Given: A regular hexagon is inscribed in a unit circle. The length of each side of hexagon is 1…

Q: Given a cyclic quadrilateral whose sides are 4 cm, 5 cm, 8 cm, and 11 cm, its area is?

A:

Q: what is a solid figure of which the base is a polygon and the other faces are triangles with a…

A: Answer:  Pyramid.   A pyramid is a polyhedron whose base is a polygon of any number of sides and…