Since the transformation occurring is rotation at 180
degrees about the origin, then the resulting image would be a reflection of the
original image. Additionally, since the rotation is 180 degrees, then there is
a movement of 2 quadrants for the corners A, B and C.
<span>Therefore this would also mean that if point A is in
coordinate (x, y) then point A’ would be in coordinate (-x, -y). Similar is
true with point B and point C and their corresponding reflection corners point
B’ and point C’. So for example if point A is located at (-5, 3) then point A’
must be at (5, -3).</span>
Since it is the midpoint we can say:
12x - 1 = 8x +11
All we have do to is get all the x's alone on one side
12x - 1 = 8x + 11
12x = 8x + 12 (add both sides by 1)
4x = 12 (subtract both sides by 8x)
x = 3 (divide both sides to get what x is)
Any irrational number produces an irrational number when added to 3/4.
This is because 3/4 is rational (it can be represented as a ratio of two integers). You can get an irrational number only when you add rational to irrational (because rational to rational produces a rational sum).
A parallelogram is a quadrilateral with opposite sides parallel. The first figure above is a parallelogram. ... A rectangle is a quadrilateral because it has four sides, and it is a parallelogram because it has two pairs of parallel, congruent sides. All four angles are right angles.
Answer:
301.5936 cubic ft
Step-by-step explanation:
Formula for the volume of a cylinder is V = pi*r*r*h, where r represents the radius and h represents the height of the cylinder. Since radius is half the length of diameter, the pipe has a radius of 4/2 = 2 ft.
V = pi*r*r*h = 3.1416*2*2*24 = 301.5936 cubic ft
