(3) The question state that we should explain the relationship between angle ACB and A'C'B' in the given diagram.
From the the diagram in the question, we can see that wa have two different triangle which are ABC and A'B'C'.
The relationship between angle ACB and angle A'C'B' is that they are corresponding angles. because they are on the same side of the line.
Corresponding angles are any pair of angles each of which is on the same side of one of two lines cut by a trasnsversal and on the same side of the transversal.
Therefore, the relationship between angle ACB and angle A'C'B' is that they are corresponding angles.
Answer:
The value of A is 1, D is 0, E is -2 and F is 0.
Step-by-step explanation:
The given equation is
...(1)
The standard form of the circle is

Where, (h,k) is the center of the circle and r is the radius.



It can be written as
....(2)
On comparing (1) and (2) we get.




Therefore the value of A is 1, D is 0, E is -2 and F is 0.
Answer:
-4
Step-by-step explanation:
-129 = 6(7 + 7x) - 3
Distribute the 6 into the parentheses.
-129 = 42 + 42x - 3
Add like terms.
-129 = 39 +42x
Subtract 39 from both sides.
-168 = 42x
Divide 42 from both sides.
-4 = x
Answer:

Step-by-step explanation:
To find the number of kilograms of mercury we need to find how to relate density, mass and, volume. For this we shall recall the density formula:

where
is the density,
is the mass and,
is the volume.
We have the density and want to compute the mass so now we want to know the volume of the pool.
The volume of a rectangular pool is given by the fomula:
.
So for our pool
.
.
Our density is in
, so the last thing we need to do before computing the mass is to express the density in
(this is because we want our mass in
and, we have our volume in
).
For the density conversion we have to remember that



so
.
With this we can finally compute mass:



.