Complete the missing parts of the paragraph proof. Given: 1 || m; _1 * 23
Prove: p || a
р
9
We know that angle 1 is congruent to angle 3 and that
line 2 is parallel to line m because
. We see that
is congruent to
by the alternate
interior angles theorem. Therefore, angle 1 is
congruent to angle 2 by the transitive property. So, we
can conclude that lines p and q are parallel by the
1
2.
m
3

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?