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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.
Katie's school has a rectangular courtyard whose area can be expressed as 3x 2 - 7x + 2. Which of the following could be the dimensions of the courtyard in terms of x? Since t
the sum of the vector QR, -SR, TQ and 2ST is?
The population of a city is observed as growing exponentially according to the function P(t) = P0 e kt , where the population doubled in the first 50 years. (a) Find k to three
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Assume Jim had executed 15 "Splits" before his last split of 20 seconds. If his eventual time in the road race is 4:05, what was the average time for one of his earlier splits?
2cos^2x-sinx=1......Find x
factorize the following algebraic expressions
If a+b+c = 3a , then cotB/2 cotC/2 is equal to
if area of a rectangle is 27 sqmtr and it perimeter is 24 m find the length and breath#
The square of a number added to 25 equals 10 times the number. What is the number? Let x = the number. The statement, "The square of a number added to 25 equals 10 times the n
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