Remember PEMDAS. First thing you do is the parentheses. Division is always before addition. 9 divided by 3 = 3. 6 + 3 = 9 Now 675 divided by 9. The answer to that question is 75. You should show your work.
Answer:
positive, its above 0
Step-by-step explanation:
Answer:
<A= 47, <B= 90, <C= 43
Step-by-step explanation:
2x +3 + 4x + 2 + 2x-1 = 180
8x + 4= 180
8x = 176
x =22
2x+3= 44+3= 47
4x+2 = 88+2 = 90
2x-1= 44-1 = 43
Answer:
(-2, -5)
(-1, -2)
(0, 1)
(1, 4)
(2, 7)
Step-by-step explanation:
Substitute x with each number and solve equation.
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
.