So do you have A B C it would help
Factors of 15 . . . 1, 3, 5, 15
Factors of 30 . . . 1, 2, 3, 5, 6, 10, 15, 30
Common factors (numbers on both lists) . . . 1, 3, 5, 15
Greatest common factor (biggest number on both lists) . . . 15
Answers:
Blank 1 = p and r
Blank 2 = corresponding angles converse
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Explanation:
Refer to the diagram below. I've marked lines p and r in red, and the angles 3 and 22 in blue. They are corresponding angles because they are both in the same southeast corner of their four-corner configuration.
If the corresponding angles are congruent, then the lines p and r are parallel by the aptly named corresponding angles converse
Multiply both the numerator and denominator by
, which is called the "conjugate" of
:

Why do we pick this number? Recall the difference of squares factorization:

Now replace
and
. Then

So in your fraction, you end up with

Finally, just expand the product.
