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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.
You are given the following regression results estimating the demand for widgets based on time series data for the past 40 months. Q t = 2.5 - 0.3 x P t + 12 x M t Where Q
Assume that (xn) is a sequence of real numbers and that a, b € R with a is not eaqual to 0. (a) If (x n ) converges to x, show that (|ax n + b|) converges to |ax + b|. (b) Give
a) Write a summary on Tower of Hanoi Problem. How can it be solved using recursion ? b) Amit goes to a grocery shop and purchases grocery for Rs. 23.
prove that J[i] is an euclidean ring
how to answer this: 3x2-18x-60
Sketch the phase portrait for the given system. Solution : From the last illustration we know that the eigenvectors and eigenvalues for this system are, This tu
(19 + 7 i)
In triangle ABC, cosecA(sinB.sinC+cosB.sinC) is equal to..?
1. Consider the code of size 4 (4 codewords) and of length 10 with codewords listed below. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1
Perpendicular to the line given by 10 y + 3x= -2 For this part we desire the line to be perpendicular to 10 y + 3x= -2 & so we know we can determine the new slope as follows,
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