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Q#1 Prove: Hilbert's Euclidean Parallel Postulate if and only if the opposite sides of a parallelogram are congruent. (A parallelogram is defined as a quadrilateral with pairs of opposite sides that are parallel.) note : this is if and only if question. so you have to assume that Hilbert's Euclidean Parallel Postulate holds and prove the the opposite sides of parallelogram are congruent valid. Then assume the opposite sides of parallelogram are congruent then prove Hilbert's Euclidean Parallel Postulate valid. Q#2 Prove: Hilbert's Euclidean Parallel Postulate if and only if the diagonals of a rhombus are perpendicular. (A rhombus is defined as a quadrilateral with four sides that are the same length.) note : this is if and only if question. so you have to assume that Hilbert's Euclidean Parallel Postulate holds and prove the diagonals of a rhombus are perpendicular valid. Then assume that the diagonals of a rhombus are perpendicular holds then prove Hilbert's Euclidean Parallel Postulate valid.
By reading values from the given graph of f, use five rectangles to find a lower estimate and an upper estimate for the area under the given graph of f from x = 0 to x = 40.
one square from the corner on the left, one from the middle of the edge, and two (side by side) from the corner on the right, to make a "lip" for the box. How does one obtain the box of largest volume?
A researcher determines there is a significant difference
When the temperture stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 70 cubic inches of gas at a pressure of 14 pounds per square inch
How do you find the surface area of a rectangular prism if the top is 5 the side is x+6 and the bottom is 2x-1?
Fixed costs depend on the number of items produce
Among the N = 18 doctors in a healthcare group, A=7 of them are board certified. A team of n= 4 doctors is going to be selected at random to staff a new clinic. Use X to represent the number of doctors selected into the team who are board certifie..
If X is solution set of a2-4=0 & Y is the solution set of a2-3a+2=0, how many elements are in the union of the two sets?
Calculate the value of the appropriate test statistic
Does every graph have a spanning tree? If not, then can you tell from the number of nodes and the number of edges a graph has whether it has a spanning tree, or do you need more information?
Suppose S is a linear space defined below. Are the following mappings L linear transformations from S into itself? If answer is yes, find the matrix representations of formations (in standard basis):
The manager of a store Finds that it costs $2200 to manufacture 100 chairs in one day and $4800 to produce 300 chairs in one day. FInd the equation of cost as a function of number of chairs produced assuming that it is a linear relationship.
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