Mathematics, 18.02.2020 01:31 maritzahernandez32
Prove each of the following statements below using one of the proof techniques and state the proof strategy you use.
a. The product of an odd and even integer is even.
b. Let m and n be integers. Show that if mn is even, then m is even or n is even.
c. If r is a nonzero rational number and p is an irrational number, then rp is irrational.
d. For all real numbers a, b, and c, max(a, max(b, c)) = max(max(a, b),c).
e. If a and bare rational numbers, then ab is rational too.
f. If a and bare two distinct rational numbers, then there exists an irrational number between them.
g. If m +n and n+p are even integers where m, n, p are integers, then m +p is even.
Answers: 1
Mathematics, 21.06.2019 19:00
Lucy is a dress maker. she sews \dfrac47 7 4 of a dress in \dfrac34 4 3 hour. lucy sews at a constant rate. at this rate, how many dresses does lucy sew in one hour? include fractions of dresses if applicable
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Mathematics, 21.06.2019 21:00
Campus rentals rents 2 and 3 bedrooms apartments for $700 ans $900 a month respectively. last month they had six vacant apartments and reported $4600 in lost rent. how many of each type of apartment were vacant?
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Mathematics, 22.06.2019 01:10
Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.
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Prove each of the following statements below using one of the proof techniques and state the proof s...
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