4x+12x-6=4(4x+7) Try this question if you dare
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Answer:
Step-by-step explanation:
given data:
number of balls = 65.
special black ball that is picked from 10 other balls = numbered 0-9.
<u><em>Solution:</em></u>
<em>probability that a single lottery ticket will match 2 balls and the special black ball.</em>
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.
The average length of a ladybug can range from 0.08 to 0.4 inches.
So two lengths within the given span are 0.1 inch and 0.3 inches.
So two lengths within the given span are 0.1 inch and 0.3 inches.