Answer:
-37.5 m
Step-by-step explanation:
If we assume that "one full day" is 24 hours, then 15 hours represents the fraction 15/24 of a day. Since the drilling rate was constant, and was presumed to start from a height of 0, the height after 15 hours is that fraction of the day's work:
... (15/24)×(-60 m) = -37.5 m
Answer:
the answer is 96
Step-by-step explanation:
- 9
-3
100-
-3
100-1-3
96
Answer:
x = -3, y=2
Step-by-step explanation:
x+3y =3
3y -2x =12
Solve the first equation for x
x = 3-3y
Substitute this into the second equation
3y -2(3-3y) =12
Distribute
3y -6 +6y =12
Combine like terms
9y -6 =12
Add 6 to each side
9y-6+6 =12+6
9y =18
Divide each side by 9
9y/9 =18/9
y = 2
Now find x
x = 3 -3y
x = 3-3(2)
x = 3-6
x = -3
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 .
Answer:
The answer is 3.6 acres per day
Step-by-step explanation:
To find the unit rate divide the number of acres by number of days
∴ Unit rate = 
÷ 
= (6 × 4 + 3)/4 ÷ (1 × 8 + 7)/8 = 27/4 ÷ 15/8
= 27/4 × 8/15 = 18/5 = 3.6 acres per day
