Given six non-collinear, coplanar points, how many triangles can be formed using these points? Answer: There will be triangles.

Q: Generalize the results found in Exercises 11 and 12 by answering each of the following questions.…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: at is the name of the three-dimensional shape formed if points M and N remain fixed, while line…

A: Here we have to write the name of the three-dimensional shape formed if points M and N remain fixed,…

Q: If the radius of a circle is 13 in, then what is the area of a sector bounded by a central angle of…

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Q: In the image shown, which points are collinear with point P? Y X' X P Z' 02018 Gynlyon, Inc. Points…

A: we will use basic definition of Co- linear points

Q: What solid would be formed if the following net were folded into a three-dimensional figure?…

A: See attached file for a step by step explanation.

Q: Must three parallel lines be coplanar? Draw a diagram to illustrate your answer.

A: To write: Three parallel lines be coplanar or not and to draw the diagram.

Q: In a convex, regular 16-gon. .how many diagonals can be drawn from one vertex? ..how many triangles…

A: Polygon property

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The theorem of converse of correspondingangles :   If two parallel lines are cut by a transversal,…

Q: Is there a regular polygon with 12 diagonals? If so, how many sides does it have?

A: Given The number of  diagonals of a regular polygon is 12 . Then, the number of sides of polygon…

Q: Consider the two rows of points on the grid below. Count the number of triangles that can be formed…

A: The two rows grid is given as: In both rows, there are 8 points in each. Therefore there are total…

Q: How many triangles are determined by 8 points, no three of which are collinear?

A: To find  How many triangles are determined by 8 points, no three of which are collinear

Q: The quadrilateral ABCD is inseribed in the eircle centered at the point o. B(2y)°

A: Given that the quadrilateral ABCD is inscribed in the circle centred at the point O.

Q: 2. If there are seven distinct points on a plane with no three are collinear, how many different…

A: A polygon requires at least 3 points (and 3 sides). Since no 3 points are collinear, that means you…

Q: Consider the two rOws of polnts on the grid below. (a) Count the number of quadrilaterals that can…

A: PART B To form rectangles first join subsequent 2 dots, No. of rectangles = 8 To form rectangles by…

Q: In Exercises 1-6, identify all triangles in the figure that fit the given description. 1.…

A: Given:  To identify all the 6 triangles in the given figure.

Q: How many triangles can be drawn on a palne using 8 non- collinear points?

A: Given:  How many triangles can be drawn on a palne using 8 non- collinear points?

Q: A square pyramid is on top of a square prism.Their bases are congruent.How many faces,vertices,and…

A: We have a square pyramid on top of a square prism. Now, a square pyramid has 5 faces, 8 edges and 5…

Q: he figure shows the net of the three-dimensional package for a board game. TI et is made of four…

A: Introduction: The most well-known and simplest formula, which almost everyone remembers from school,…

Q: How many triangles can be formed from 11 distinct points on the plane, no three points of which are…

A:

Q: How many polygons can be possibly formed from 8 distinct points in which no three of which are…

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Q: Show that for a hexagonal geometry, the co-channel reuse ratio, q, is given by the equation レニBN…

A: N = no of cells in the cluster I..e cluster size

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: A solid in the formof a cube of edge 12 cm. is melted and formed into three smaller cubes of…

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Q: Show that if there is an Archimedean solid that has faces that are regular pentagons and equilateral…

A: Truncated tetrahedron: In geometry, An Archimedean solid is one of the 13 solids first enumerated by…

Q: 4. Whal 13 LI 5. Each interior angle of a regular polygon measures 160°. How many sides does the…

A: Question 5 : As Many Questions are given , I will solve only one : It is Given that the interior…

Q: Draw two noncongruent triangles in which each has the area of 8 units?. Moreover, all base and…

A: Given: To draw two noncongruent triangles with an area of 8 units2   Formula : Area of the…

Q: 65. Show that the maximum area of a parallelogram ADEF that is inscribed in a triangle ABC, as in…

A:

Q: Consider the triangular prism shown. (a) How many vertices does it have? (b) How many edges (lateral…

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Q: In ACDE, CE is extended through point E to point F, mZCDE = (2x – 4)°, mZDEF = (6x – 10)°, and mZECD…

A: Given: ∠CDE=(2x-4)°∠DEF=(6x-10)°∠ECD=(2x+16)°

Q: How many polygons can be possibly formed from 5 distinct points on a plane, no three of which are…

A:

Q: ) What attributes do all cylinders and cones have that not all three-dimensional figures have?…

A: Given that:A) All cylinders and cones                     B) All cylinders and all prisms

Q: Find the sum of the measures of the interior angles of each convex polygon. 15. 11-gon a. 1980…

A: We have to find the sum of the measures of the interior angles of a convex polygon.   We have to…

Q: 11. A solid is an octagonal prism. a) How many vertices does it have? b) How many lateral edges does…

A: Number of vertices 2n Number of lateral edges n Number of base edges 2n Total number of edges…

Q: Which mathematician is known as the father of projective geometry? Bolyai Desargues Poincare Reimann

A: We know that Projective geometry, branch of mathematics that deals with the relationships between…

Q: Prove that if two triangles have congruent bases, then their areas are in the same ratio as their…

A: To show that the ratio of the areas is equal to the ratio of the heights, if the two triangles have…

Q: Mr. Brown asked Matt to determine how many edges make up this polyhedron. What answer should he come…

A: Given: Polyhedron shape:

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: 2. How many triangles can you make using 7 non-collinear points on a plane?

A:

Q: gths of sides NO and OP of triangle NOP in 24 10 40 Geometry Figure 34

A: We cam solve this using similar criteria

Q: Here is a triangular prism.

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

Q: Prove that if the ratio of corresponding sides of two similar triangles is k, then the ratio of the…

A: It is needed to prove that if the ratio of corresponding sides of two similar triangles is k, then…

Q: If there are 9 distinct points on a plane, no 3 of which are collinear, how many quadrilaterals can…

A:

Q: Consider any eight points such that no three are collinear.How many triangles are determined?

A: Given: Eight point such that no three are collinear, To determine: The number of triangle that can…

Q: How many planes of symmetry does a polyhedron with 2 square bases and eight isosceles triangle…

A:

Q: A prism contains two types of faces: bases and lateral faces. O True O False

A:

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

A: Given : Solid structure is given

Q: 3. If a line through the vertex A of an equilateral triangle ABC meets BC in F and the circumcircle…

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Q: Explain how many vertices, edges, and faces the polyhedron have. Does it verify Euler's Formula?

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Q: In Exercises 1-6, identify all triangles in the figure that fit the given description. 1. isosceles…

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Q: Given a rhombicuboctahedron with 4/2 as the diagonal length of a square face, the sum of the areas…

A: