Answer: Value of M: -49
Value of N: 24
Step-by-step explanation:
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Answer:
The volume of sphere is 
.
Step-by-step explanation:
We have,
Radius of a sphere is 18 units.
It is required to find the volume of sphere.
The formula of the volume of sphere in terms of radius is given by :
Plugging all values in above formula
So, the volume of sphere is .
Answer:
Rotation
Step-by-step explanation:
Given:
Triangle DEF is congruent to Triangle GHJ by the SSS theorem
To find: transformation required to map Triangle DEF onto Triangle GHJ
Solution:
Two figures are said to be congruent if they overlap each other.
Two polygons are said to be congruent if they have same size and shape.
A rotation is a transformation that turns a figure about the center of rotation.
Rotation transformation is required to map Triangle DEF onto Triangle GHJ
Slope of a line parallel to given line is equal to slope of given line.
<u>SOLUTION:</u>
Given that, we have to find the slope of any line that is parallel to a line in the co – ordinate plane.
We know that, slope of a line is tan( angle of a line made between that line and the x – axis)
So, consider two lines which are parallel , then, angles made by both the parallel lines will be equal with the x – axis.
Then, tan( angle by 1st line) = tan( angle by 2nd line)
Which means that, slope of two lines will be equal.
Hence, slope of a line parallel to given is equal to slope of given line.
Answer:
the area of the problem is 20
