What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,
78,99
1 answer:
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An angle bisector divides an angle into two equal halves.
The measure of angle is 70 degrees
The complete question is an illustrates the concept of angle bisector;
Where:
, and line PC bisects
Because line PC bisects , then it means that the measure of RPD is twice the measure of CPD:
So, we have:
Substitute
Divide both sides by 2
Apply symmetric property of equality:
Hence, the measure of angle is 70 degrees
Read more about angle bisectors at:
Answer:
The value of a will be
Step-by-step explanation:
Start by graphing the parabola and the three points of the triangle. These points are at intersections of y=a(x-1)(x-4) and the axes
so the y = 0 points are (1,0) and (4,0).
The x = 0 intersection is when y=a(-1)(-4) or (0,4a)
The base and height of this triangle are
The base would be the distance between the y=0 intersections and the height would be the y value of the other vertex.
Hence, base=3 units and height = 4a units. Thus, area can be calculated as
∵ the parabola opens downward therefore a will be negative.
hence,