6. How many triangles are there with vertices from the points shown below? Note, we are not allowing degenerate triangles - ones with all three vertices on the same line, but we do allow non-right triangles. Explain why your answer is correct.

Q: A polyhedron has 6 faces and 7 vertices. How many edges does it have?

A: Polyhedron is a three dimensional solid structure formed by joining polygons. Let F be the number of…

Q: Could a polyhedron exist with the given number of faces, vertices, and edges? Drag "yes" or "no" to…

A:

Q: What additional information is needed to prove the triangles similar by the SAS-Criterion?

A: What additional information is needed to prove the triangles similar by the SAS-Criterion?

Q: A polyhedron has 6 edges and 4 vertices. How many faces does it have ?

A: By Euler formula  F+V = E +2  F = Number of Faces  V = Number of vertices E= Number of Edges

Q: 1. How many 4-regular graphs are there 10 vertices with 30 edges?

A: A graph is called 4-regular if degree of every vertex in graph is 4. If there is a 4-regular graph…

Q: How many edges does Ks have? Kn in general?

A:

Q: If all perpendicular bisectors of all three segments of the following triangle are drawn, where will…

A: We know that, The circumcenter of a triangle is the point of intersection of the perpendicular…

Q: a If you moved Triangle 1 onto Triangle 2, which vertices would match?

A:

Q: 1. Explain the relationship between the number of faces and the number of edges in a triangulation.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Ka , Ks , Kn? How many edges in

A:

Q: Justify that if two triangles are a pair of 5-con triangles (that is,they have 5 pairs of congruent…

A:

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: A polyhedron (not regular) has 14 vertices and 21 edges. How many faces must it have?

A: Given that a polyhedron has 14 vertices and 21 edges. We need to find how many faces does the…

Q: How many triangles are formed by drawing all the diagonals from a single vertex?

A:

Q: 24. Find the area of the triangle having vertices at (4, 5, 6), (4. 4, 5), and (3, 5, 5).

A:

Q: 53. Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respectively, the…

A:

Q: What is the Pru fer code for a simple path whose vertices are numbered in increasing order (i.e., 1…

A: The complete solutions are given below

Q: Are the following pairs of triangles similar? If they are, then name their similarity criteria.…

A: By using similarity rule we can justify

Q: Q, has how many edges ? k

A: Let us determine the number of edges does Qk has.

Q: What are the edges incident on v2? (b) What are the vertices adjacent to v2 ? (c) What are the…

A:

Q: Are the following pairs of triangles similar? If they are, then name their similarity criteria.…

A:

Q: 3. Recall that Km,n denotes a complete bipartite graph on (m, n) vertices. a. Draw K4,2- b. Draw…

A:

Q: No, some of the vertices cross the circle, so they are not all on the circle. Yes, some of the…

A: We know that  A polygon is said to be inscribed ina circle if all of the vertices of the polygon lie…

Q: Calculate the perimeter of the triangle formed by the following set of vertices. {(0,0), (4, 4),…

A: .

Q: 11) Batman drew a A that have its vertices at A(1, 2), B(4, 6), and C(8, 2). Is AABC a right…

A: Vertices of a △ABC is given. A=1,2B=4,6C=8,2

Q: A polyhedron (not regular) has 10 vertices and 6 faces. How many edges does it have? edges

A:

Q: Calculate the perimeter of the triangle formed by the following set of vertices. {(5, 4),(3,6),…

A: We have to find the parameter of the triangle formed by the vertices 5,4,3,6,7,8.

Q: Calculate the perimeter of the triangle formed by the following set of vertices. {(5, 4), (3, 6),…

A:

Q: Let n 2 3 be a natural number. Find how many pairwise non-congruent triangles are there among the ("…

A: Given that n≥3. Now consider regular n-gon.  It has partition of n edges into 3 pieces with x edges…

Q: (a) which edges are incident on v,? (b) Which vertices are adjacent to v,? (c) which edges are…

A: Given: The graph

Q: How many triangles can be made if the vertices are from three of the six points on the circle? One…

A: out of the six points on the circle.

Q: 2) A planar triangulation is constructed from a planar graph, and adding edges without edge…

A:

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

A: We have to find edges

Q: 1. What's the max number of edges you can put on 6 vertices without creating any triangles?

A: In graph theory, a tree is a connected acyclic undirected graph. Tree with n vertices has n-1 edges

Q: Justify that if two triangles are a pair of 5-con triangles (that is, they have 5 pairs of congruent…

A: Given: Two triangles are a pair of 5-con triangles

Q: Use Euler’s Formula to find the missing number of faces, edges, and vertices a) Faces = ?, Edges =…

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

Q: 27. Show that a triangle with vertices at (3, 5), (3, 2), and (2, 5) is a right triangle.

A: If we can prove that above triangle satisfies Pythagoras theorem then we can say that above triangle…

Q: 8. A rhombus is a 4-sided polygon that has four congruent sides. Prove that opposite sides of a…

A:

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: (a) How many vertices does it have? (b) How many lateral edges does it have? (c) How many base edges…

A: First we will draw a nonagonal prism

Q: Are the following pairs of triangles similar? If they are, then name their similarity criteria.…

A: An isosceles triangle is a triangle that has two sides of equal length.  From the figure, it is…

Q: O A planar triangulation is constructed from a planar graph, and adding edges without edge…

A: We will be solving Q.2 as mentioned. A planar triangulation is constructed from a planar graph and…

Q: When a vertex Q is connected by an edge to a vertesx K, what is the term for the relationship…

A: Given- A vertex Q is connected by an edge to a vertex K. To Find- The term for the relationship…

Q: Are the following pairs of triangles similar? If they are, then name their similarity criteria.…

A: According to the question, we need to determine whether the two traingle are similar or not.  If…

Q: How many side does a tetrahedron have ? How many number of edges which meet at a vertex does a…

A:

Q: 6. (a) List all eight triangles occurring in the figure below. (b) From the marked information,…

A: Since you have many questions in this image and you haven't specified any question to be answered, I…

Q: 1. The sides of a triangle are 3, 6 and 8. If the largest side of a similar triangle is 16, what is…

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Are the following pairs of triangles similar? If they are, then name their similarity criteria.…

A: yes the given triangle are similar.

Q: a number Lin point c is located at -4 and point d is lifted at 6. At what point must P be located so…

A: With the help of section formula for internal division we can solve this question-

Q: For which values of m and n does the complete bipartite graph Km,n have an Euler circuit?

A: Definitions: A Path in a directed graph G is sequence of edges in G. A Simple path is a path that…