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

Q: To test for symmetry with respect to the origin,what should you replace?

A: To test for symmetry with respect to origin we replace x by -x and y by -y. If after simplifying the…

Q: Use Geogebra and the Klein - Beltrami model to show that in hyperbolic geometry you can draw a…

A: As per the question we have to use GeoGebra code and the Klein-Beltrami model to illustrate the…

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: Find the values of z and y given that AMNP ATUS. S< (2x-50)° (2x - y) m 13 m 142° - P M 24° and y

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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: Answer the following questions about the sphere whose equation is given by 2+7 +2 - 8z + 6y = 75. 1.…

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Q: 5. What can you change to the two planes to make them parallel? Make as few changes as possible and…

A: given planes π5: 2x-4y+2z-2=0π6: x-y+3z-2=0

Q: DIRECTION: Use your knowledge of mid-segments of triangles and trapezoids to answer the questions…

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Q: What are the center and the radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0?

A: Given equation of circle is 4x2+4y2-4x+16y+1=0We know that the general equation of circle is…

Q: 2. On a given line segment describe a compass/straight edge construction of a perpendicular…

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Q: Quadrilateral RIYA has vertices R (-2, 3), I (3, 8), Y (4, 1) and A (-1, -4). [The use of the set of…

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Q: IF STUV is an isosceles trapezold, Find each missing measure a) mZT = b) m2U = 71 c) mZV =

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Q: Solve for x. Each figure is a parallelogram. 9) 10) 2x-13 W x+3 T. 9. W A) 11 B) 3 C) 6 D) 2 U 13 A)…

A: Both the quadrilaterals are parallelograms.  There fore their opposite sides are equal.

Q: Part I: Construction on the Plane 1. Using a straightedge, construct AABC on a sheet of paper. 2.…

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Q: I need help for problem 2. Thanks!

A: Given that the vectors are