Answer:
The statement is false.
Step-by-step explanation:
To begin an indirect proof, you assume the converse of what you intend to prove is true. This is false.
Rather the correct answer is that to begin an indirect proof, you assume the inverse of what you intend to prove is true.
The converse can be either true or false, depending on what the original statement is, so assuming the converse is pointless.
Let a ∈ A. Then a is some integer that is divisible by 4, so we can write a = 4k for some integer k.
We can simultaneously rewrite a as a = 2•2k, so 2 clearly divides a, which means a ∈ B as well.
Therefore A ⊆ B.
The answer is 12.1. hope this is right.
Answer:
see below
Step-by-step explanation:
For the HL theorem to be applicable, the hypotenuses must be the same length:
x+3 = y-1
and the marked legs must be the same length:
y-3 = 2x-1
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Recognizing y-3 = (y-1) -2, we can substitute into the second equation using the first equation:
(y -1) -2 = 2x -1
(x +3) -2 = 2x -1 . . . substitute for y-1
2 = x . . . . . . . . . . add 1-x to both sides
Then the first equation tells us ...
x+4 = y = 2+4 = 6
The values of x and y are ...
x = 2, y = 6