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makvit [3.9K]
3 years ago
10

A 3-foot rain barrel is being filled from the runoff of a roof. The barrel has already collected 2.75 feet of water. For

Mathematics
1 answer:
Rom4ik [11]3 years ago
4 0

ssssssssssssssssssssssssssssss

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Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even.
m=2k-n, p=2l-n

Let m+n and n+p be even integers, thus m+n=2k and n+p=2l by definition of even
m+p= 2k-n + 2l-n substitution
= 2k+2l-2n
=2 (k+l-n)
=2x, where x=k+l-n ∈Z (integers)
Hence, m+p is even by direct proof.
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