We consider the regular as well as semi-regular tilings of the plane by regular polygons where some of the polygons are triangular tiles. The degree of a vertex in the tiling is the number of polygons meeting at that vertex. What are the possible maximum and minimum degrees of vertex of a triangular tile? Maximum degree of a vertex of a triangular tile: Minimum degree of a vertex of a triangular tile:

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: 8 (Optional) Given an n-sided polygon, show that for any n+1 diagonals, at least two of them…

A:

Q: The coordinate values of the vertices of AKLM are integers. Which set of coordinate pairs could…

A: You know congruent triangles have equal areas. The area of a triangle is given by:

Q: The diameter of G is the maximum distance between two vertices of G. Show that if G has diameter…

A:

Q: Orthocentre and circumcentre of AABC are (a, b) and (c, d), respectively. If the coordinates of the…

A: Given are the orthocentre H(a,b) and the circumcentre O(c,d)

Q: How many different points do you need to specify a poly- nomial of degree n?

A: To determine how many different points do we need to specify a polynomial of degree n

Q: Current Attempt in Progress Peychic readings. Someone is thinking ofs connected graph in the plane.…

A: Given that a connected planar graph has 39 edges, cut faces 11. i.e. E=39, F=11.

Q: A rectangle has two vertices on the x-axis, two vertices on the y-axis, and one vertex at the point…

A:

Q: The vertices of parallelogram ABCD are A (2, 0), B(0, -3), C (3, -3), and D (5, 0). If ABCD is…

A: For taking reflection over x-axis take mirror image about x-axis

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: The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the length of…

A: Given that The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the…

Q: (0, 16) A 16 4 12- (F15, 8) 8- (15, 8) 4- 16-12-8 -4 4 12 16 4 H(-15, -9) 8 (15,-9)E -12- 16…

A: To find the square feets of floorboards, We Break the Area in combination of Equilateral triangle…

Q: Complete the table shown. Classify each tessellation by listing the clockwise or counterclockwise…

A: A semi-regular tessellation is made using 2 or more types of regular polygons. With both regular and…

Q: Find the number of sides of a convex polygon if the measures of its interior angles have a sum of…

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

Q: A square has two vertices at (-1, -6) and (-1,-12). Which of the following could be a third vertex…

A: A square has two vertices at -1,-6 and -1,-12which of the following could be third vertex of the…

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: Don't  give AI answer  plz give correct answer.  Prove that vertex v is an articulation point if and…

A: The objective of this question is to prove that a vertex v in a graph is an articulation point if…

Q: Van Aubel’s Theorem states that if you construct squares on the edges of a quadrilateral, and then…

A:

Q: Rectangle DEFG has vertices at D(6,1), E(6,5) and F(-1,5) a) What is the coordinate pair 4th vertex,…

A:

Q: 6 In a grid of a backyard, the vertices of the floor of a shed are (20, 80), (50, 60), (50, 20), and…

A:

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

A:

Q: AB and CD are two chords of a circle. The distance of AB from the center is equal to the length of…

A: