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Question

Euclid's which axiom illustrates the statement that when x+y=15,then x+y+z=15+z ?

(a) first

(b) second

(c) third

(d) four

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Solution

ANSWER:
Euclid's second axiom states that if equals be added to equals, the wholes are equal.
x + y = 15
Adding z to both sides, we get
x + y + z = 15 + z
Thus, Euclid's second axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z.
Hence, the correct answer is option (b).

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