Answer:
<d = 25 degrees and <e = 130 degrees
Step-by-step explanation:
We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.
<d = 25 degrees
The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:
<e = 180 - 25 - d
<e = 155-25
<e = 130 degrees
Answer:
k=8
Step-by-step explanation:
have a good day
Answer:
Greatest or greatest common factor
Step-by-step explanation:
Answer:
Option B) 16
Step-by-step explanation:
We are given the following in the question:

where x is the student's original test score and y is the student's adjusted test score.
We have to find the standard deviation of the adjusted test scores of the students in the class, if the standard deviation of the original test scores of the students in the class was 20.
We know that:
- Adding a constant to each value in a data set does not change the value of the standard deviation.
- Multiplying each value in a data set by a constant also multiplies the standard deviation by that constant.
Thus, if we add 20 to each data set then, the standard deviation does not change.
But multiplying each score by 0.8, changes the standard deviation 0.8 times.
Thus, we can write:

Thus, standard deviation of adjusted score is 16.
Answer:
Step-by-step explanation:
The general formula for slope-intercept form is y = mx + b
We can see that m (slope) equals 1/3 here. We can also see that the y-intercept (b) is -2. Another way to find the y intercept is to make x equal to 0. You get 0 - 2 which equals -2
Note:
If youre ever asked for the x-intercept, make y equal to zero and solve for x.