The product of two rational numbers is always rational because (ac/bd) is the ratio of two integers, making it a rational number.
We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.
Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".
P = (a/b)×(c/d)
P = (a×c)/(b×d)
The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.
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12. Yes, because the diagonals of a parallelogram bisect each other.
14. Yes, a parallelogram has opposite sides that are equal.
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Answer:
55°
Step-by-step explanation:
d = 180 - 80 = 100
100 + 130 + 90 + (180 - 85) + (180 - c)
= 540
595 - c = 540
c = 595 - 540
c = 55°
Answer:
28
Step-by-step explanation:
Total amount of money she has=$40
Spends=12
40-12=28
She has $28 dollars left to spend on her binders.
The solutions to q² - 125 = 0 are q = ±√125.
q = -5√5
q = 5√5