Prove that a 6x6 board cannot be tiled with the tile shown. Use the coloring of the board to justify your answer. (In a tiling of the board, every square of the board is covered without overlapping the tiles. The tiles may be shifted, rotated, or flipped over.)

Q: 7) The area of a parallelogram is A = bh. Write an expressions for the area of the below…

A:

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: Which set(s) of tiles could be used to make a perfect square?

A: We have to choose

Q: In the cube shown, which pair of edges would be skew? B D E mi F H A) EH and CD B) AD and FG CDH and…

A: Topic- Skew lines Skew lines: Skew lines are lines that are not parallel and are in different planes…

Q: The figure below displays a square extending off of side a that is split into two rectangles…

A: The given figure

Q: Suppose a rectilineal figure R consists of two squares with equal content (area). From the diagonal…

A: Ans- Let's denote the side length of each square in R as "a". Then the diagonal of each square is…

Q: 1) Show the intersection of the sets Xand Y on the diagram (shade the area). X 2) Show the…

A: 1. Given: To Do: Shade the intersection of X and Y on the diagram. 2. Given: To Do: Shade the…

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: 7. Compute the area of the polygon with vertices at (6,1), (3,-10), (-3,-5) and (-2,0)

A: Given:  vertices of polygon (6,1), (3,-10), (-3,-5) and  (-2,0)To find: area of the polygon

Q: The algebra method of FOIL multiplication is illustrated geometrically in the drawing. Use the…

A: The area of the rectangle A=lw  unit2 where l is the length of the rectangle and w is the width of…

Q: Tyler found the diagram of a tiered, raised-bed garden for Village Park in a book. From the diagram,…

A: Given that ACEG is a parallelogram. So, CE and AG are parallel lines. As DH is a transversal,…

Q: Can a polyhedron have 3 faces, 4 vertices, and 5 edges? Explain.

A: Euler's formula for a polyhedron  For any polyhedron F+V-E=2 Where  F = number of faces  V = number…

Q: Session 1-Mathematics (No Calculator) 29. Ranee is creating a diagram to prove that a certain…

A: Step 1:Right Triangle :-A triangle in which one of the interior angles is 90° and the opposite side…

Q: Use two colors in the square grids. to show that the Pythagorean Theorem is true. 3 5 4

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: How many vertices does this polyhedron have? Options are: 3, 4, 5, & 6.

A: Vertex of polyhedron is a point at which three or more polyhedron edges of a polyhedron meet.

Q: Find the area of the triangle having the following vertices: M(-2, 3, 0), N(-4, -1, 2), P(0, -3, 2)…

A: Here are the steps to find the area of the triangle with vertices M(-2, 3, 0), N(-4, -1, 2), and…

Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.

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…