Use Euler's Theorem to find the number of faces of a polyhedron that has 12 vertices and 20 edges.

Q: nsformations ar 18- 16- 14- 12- 10- 8- 6- -C shape 2 6 8 10 12 14 16 -2+ Shape 1 and shape 2 are…

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Q: An ice cream cone consisting of a semicircle on top of an equilateral triangle of side 6 (Figure)

A: To find the area of the shaded region add the area of the equilateral triangle and the area of the…

Q: how the perimeter of any polygon or plane figure can be found given the coordinates of its vertices.…

A: The basic formula used to find the perimeter of a polygon is, Perimeter = sum of all sides.

Q: Reflux Refinery is building a cylindrical tank. The tank will have a diameter of 60 feet. If they…

A: Solving the following problem

Q: Show that the given equation represents a sphere and find its center and radius x² + y2 + z? + ax +…

A: The given equation is x2+y2+z2+ax+by+cz+d=0. The general equation of a sphere with center h,k,n and…

Q: If CD = 14s + 5 and CF = 6s + 29, find CD in parallelogram DEFG. %3D %3D C CD %3D

A: We know that the each diagonal divides the quadrilateral into two congruent triangles. So, CD=CF. We…

Q: Quadrilateral PQRS is shown. 4a + b R (6x+ 13)° 6b 11b-10 (7x-5) S. 2a + 8 What must the values of a…

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Q: Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? What else is a valid…

A: A parallelogram is flat-shaped figure . It has four sides . The pair of opposite faces/sides of a…

Q: For what values of x and y are the triangles to the right congruent by HL? X x+2 4y y+4 ..... X =…

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Q: C (7, 10) What is the distance between the points with coordinates (10, 3) and (2,-1)7 A. 68 grid…

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Q: Classify each statement about trapezoids as always, sometimes, or never true. Always true A…

A: A trapezoid is a quadrilateral with at least one pair of parallel sides.

Q: 9. A trapezoid has been rotated 90° clockwise about the origin. Is it true that the y-coordinates of…

A: When a point (a,b) is rotated 90° clockwise about the origin its new co-ordinate becomes (b,-a)

Q: What is the equation for a sphere centered at the point (4,-3,-7) with a radius of 5.

A: The general equation for a sphere in three dimensions is given by (x - h)^2 + (y - k)^2 + (z - l)^2…

Q: Find the value of y. 3 cm 5 cm 6 cm y y = [ ? ] cm 2 cm 3 ст

A: Use the formula for intersection of secants in a circle.

Q: Which of the statements are true about isosceles trapezoids? Mark all that apply. The diagonals of…

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Q: A rectangle us reflected across a vertical line. What is the resulting shape?

A: A rectangle is reflected across a vertical line:

Q: A circle has a diameter with endpoints (-8, 2) and (-2, 6). What is the equation of the circle?…

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Q: How large of an equilateral triangle can you fit inside a 2-by-2 square? Two of the three vertices…

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Q: Hi! I need help solving this geometry problem.

A: Equal angles opposite to equal sides in a triangle are equal Sum of all angles in a quadrilateral is…