Answer:
C(g) = 10 + 15g
C'(g) = 80
The monthly charges of Company C for using 2 Gigabyte of data usage.
Step-by-step explanation:
The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.
Now, the monthly cost in Company C for using g gigabyte of data will be
C(g) = 10 + 15g ........ (1)
Again, the monthly cost in Company D for using g gigabyte of data will be
C'(g) = 80 ......... (2)
Now, from equation (1), the statement C(2) = 10 + 15 × 2 = 40, means that monthly charges of Company C for using 2 Gigabyte of data usage. (Answer)
Answer:
20 % discount
Step-by-step explanation:
Lilian got 4 dollars off of the original price (20 - 16 = 4 )
4 / 20 * 100% = 20% off
Answer:
From the graph attached, we know that
by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like
and
.
We also know that, by definition of linear pair postulate,
and
are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that
and
together are 180°, because they are on a straight angle. That is, 
If we substitute
for
, we have
, which means that
and
are also supplementary by definition.
The square root of pi is 1.77245385091.