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  • Write whether the following statements are True or False? Justify your answer: If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C.

Write whether the following statements are True or False? Justify your answer: If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C.

Answers (1)

True

Solution:

Euclid’ fourth axiom states that things that coincide with one another are equal to one another (Reflexive Property). Now, it is given that a quantity B is a part of another quantity A. We can assume that another part of A can be equal to a quantity C. So, A = B + C. Yes, it is true “If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C” because it is the conclusion of one of Euclid’s axioms.

 Hence the given statement is true.

 

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