Perpendicular lines have slopes that are negative reciprocals to each other, that is, if one slope is a/b, the other is -b/a
in this case, the given slope is 1/3, so the other line's slope is -3/1, which is -3
from the graph we see that the y intercept of line b is -4, so the equation of line b is: y=-3x-4
To find the hypotenuse in a 45-45-90 triangle multiply the legs by

So...
The leg is 12 the hypotenuse is 12
Answer:
good to know. but what's the question?
Answer:
It is not enough evidence to reject null hypothesis. It is not enough evidence to say that mean score is not equal to 35.
Step-by-step explanation:

1. Null and alternative hypothesis

2. Significance level

Freedom degrees is given by:

For a sgnificance level of 0,01 and 22 freedom degrees, t-student distribution value is:

3. Test statistic



In this case, we have an one left tailed analysis, it means that null hypothesis is rejected if 

Conclusion:
It is not enough evidence to reject null hypothesis. It is not enough evidence to say that mean score is not equal to 35.
Answer:
a = 22
b = 31
c = 13
Step-by-step explanation:
The sum is the same in each row, column, and diagonal.
One of the diagonals is already complete. The sum is:
16 + 25 + 34 = 75
So the first row adds up to 75:
a + 37 + 16 = 75
a = 22
The second row adds up to 75:
19 + 25 + b = 75
b = 31
And the third row adds up to 75:
34 + c + 28 = 75
c = 13
We can check our answer by finding the sum of each column and the other diagonal.
22 + 19 + 34 = 75
37 + 25 + 13 = 75
16 + 31 + 28 = 75
22 + 25 + 28 = 75