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What is a basic assumption that is accepted without proof?
A postulate.
Can the sum of the angles of a triangle exceed 180 degrees?
In basic Euclidean geometry no, the sum of the angles always equals 180 degrees exactly. In non-Euclidean geometry it can exceed 180 degrees.
What do you mean by comparing a thing with a standard to see how many times as big it is?
This describes the basic idea of measurement.
What are the basic geometric ideas?
Basic Geometric Ideas: Geometry is the mathematics of space,two dimensional plane and three dimensional solid figures.Geometry is divided into pure Euclid elements of plane and solid as propunded by Greek mathematicians like Thales,Pythogoras and Euclid,while analytical/coordinate uses algebraic methods propounded by Rene Descartes.The non Euclidean methods devised in development of theory of relativity and atomic theory by Karl Gauss, Georg Riemann and Nikolai Lobachevsky.
What is hypothesis of difference?
The alternativehypothesis (Ha or H1) describes the population parameters that the sample data represent, if the predicted relationship exists. It is always the hypothesis of difference. That is as opposed to the null hypothesis (H0) that describes the population parameters that the sample data represent if the predicted relationship does not exist. See Basic Statistics of the Behavioral Sciences by Heiman.
