Given:
M=(x1, y1)=(-2,-1),
N=(x2, y2)=(3,1),
M'=(x3, y3)= (0,2),
N'=(x4, y4)=(5, 4).
We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.
For a parallelogram, opposite sides are equal
If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.
To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,
Slope of MN= Slope of M'N'.
Slope of MM'=NN'.
Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'
Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.
Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.
Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.
Answer:
254.5 in.^2
Step-by-step explanation:
diameter of mirror = 12 in.
radius of mirror = diameter/2 = 13 in. / 2 = 6 in.
frame width = 3 in.
radius if combined mirror and frame = 6 in. + 3 in. = 9 in.
A = (pi)(r^2)
A = 3.14159 * (9 in.)^2
A = 3.14159 * 81 in.^2
A = 254.5 in.^2
Answer:
Every number of years 365 and I have been trying to
Answer:
I think 8:32 because there are 8 oranges and 32 in total