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What is Deductive Reasoning ?
Geometry is based on a deductive structure -- a system of thought in which conclusions are justified by means of previously assumed or proved statements. The process of deductive reasoning involves three steps:
Step 1: Start with the given conditions (hypothesis).
Step 2: Use logic, definitions, postulates, or previously proved theorems to justify a sequence of thoughts.
Step 3: State your conclusions.
Example 4 : Given DABC is an equilateral triangle with three congruent sides A@B@C. After we use logic to supply the correct statements in step 2, we can come to the conclusion (theorem): If all the three sides of a triangle are congruent, then the three angles are congruent.
A conical vessel of radius 6cm and height 8cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just im
Calculate the Kendaul''s correlation cofficient for a given data.
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Multiply following and write the answers in standard form. (a) 7 i ( -5 + 2 i ) (b) (1 - 5 i ) ( -9 + 2 i ) Solution (a) Thus all that we have to do is distribu
Illustrates that the following numbers aren't solutions to the given equation or inequality. y = -2 in 3( y + 1) = 4 y - 5 Solution In this case in essence we do the sam
Here are four problems. Four children solved one problem each, as given below. Identify the strategies the children have used while solving them. a) 8 + 6 = 8 + 2 + 4 = 14 b)
how to describe the locus of the equation x^2+6xy+y^2+z^2=1 in cylindrical polar coordinates?
a garden is constructed with a 3ft patio all around how would you give the expression for the area of the garden, excluding the patio
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the mean and standarddeviation of set a is -x ans s respectively.find the mean and standard deviation of set b
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