PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST+25 POINTS!!!!!
2 answers:
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For the proof here kindly check the attachment.
We are given that. Also, the transversal is shown. Let us take the first case, that of
and
. Please note that all other proofs will follow in a similar manner.
Let us begin, please have a nice look at the diagram. We will see that and
are vertically opposite angles. We know that vertically opposite angles are congruent. Thus,
and
are congruent angles.
=
Now, we know that and
are alternate interior angles. We also, know that alternate interior angles are equal too. Thus, we have:
=
From the above arguments it is clear that:
=
=
.
Thus, =
We have proven the first instance. Please note that all other instances can be proved in a similar fashion.
For example, for and
we can take
and
as vertically opposite angles thus making
=
. Now,
and
are alternate interior angles and thus
and
are equal. Thus, we have
and
.
The answer is C
The absolute value of a number is simply the positive version of that number. So, if a number is already positive the absolute value does nothing, else it switches its sign.
This is easier done than said: we have and
. And since
, C is correct. Let's see why the others are wrong:
Option A translates to
Option B translates to
Option D translates to