First, let's complete the angles in the triangle. Remember that the sum of the angles in a triangle is 180 degrees.
73 + 90 + x = 180
163 + x = 180
x = 17
So, the angle that completes the triangle is 17 degrees. If we look at that angle in the triangle and the one adjacent to it, we can see that those two angles form a linear pair (or are supplementary, both meaning that they add up to 180 degrees).
17 + x = 180
x = 163
So, 17's supplement is 163 degrees. The 163 degree angle corresponds with angle r, and corresponding angles are congruent.
Therefore, angle r is 163 degrees. The correct answer is option C.
Hope this helps!
Answer:
(a) The sample variance is 16.51
(a) The sample standard deviation is 4.06
Step-by-step explanation:
Given
Solving (a); The sample variance.
First, calculate the class midpoints.
This is the mean of the intervals.
i.e.
So, the table becomes:
Next, calculate the mean
Next, the sample variance is:
So, we have:
The sample standard deviation is:
1.323 as a percent is 132.3% because you take the decimal and move it two spaces to the right->
Answer:
width= 3.17
Step-by-step explanation:
Divide 38 (the area) by 12 (the width)
Answer:
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true
Step-by-step explanation:
