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: Find the area of the parallelogram with vertices K(3, 1, 3), L(3, 2, 6), M(8, 8, 6), and N(8, 7, 3).

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Q: If possible, use at least two different strategies to determine the number of diagonals of an n-gon.…

A: Let us find the strategies to find the number of diagonals of a n-gon in the next step.

Q: A polygon that has 28 sides can be called a 28-gon. O True False

A: follow next step

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: On the grids below, show all the ways exactly two squares can be shaded so that the grid has…

A: Total number of ways in which two squares can be shaded so that the grid (4*4 square) has symmetry…

Q: a square has four congruent sides true or false

A: solution

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

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Q: If two consecutive sides of a parallelogram are perpendicular, then the diagonals are ____…

A: Query- If two consecutive sides of a parallelogram are perpendicular, then the diagonals are ____…

Q: To activate lower left subgraph of a 2 X 2 grid, which of the following statements will be used? O a…

A: Given:  2 X 2 grid

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: Vertices P and Q of hexagon PQRSTU are shown on the grid. Graph and label the other four vertices of…

A: Solution:

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

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

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Q: If the area of a triangle whose vertices are (h, 0), (6,0), and (0, 3) is 9 square units, then h =…

A: The given vertices of the triangle are (h, 0), (6, 0) and (0, 3). The area of the triangle is 9…

Q: a certain figure has 252 diagonals. how many sides does it have

A: To find: The number of sides if the diagonals are 252. Formula used: The number of diagonals having…

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: Given a square with two vertices of one side located at (-5, -3) and (-5, 12), in square units what…

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Q: Triangle CDE, with vertices C(-8,-9), D(-2,-8), and E(-7,-5), is drawn inside a rectangle, as shown…

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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…