Answer:
x = 36
Step-by-step explanation:
the 3 angles form a straight angle and sum to 180°
sum the 3 angles and equate to 180
3x + x + x = 180 , that is
5x = 180 ( divide both sides by 5 )
x = 36
This line is in the format , where is the slope.
A horizontal line has a slope of .
A vertical line has an undefined slope.
A positive slope makes the line go upwards and to the right.
<em>A negative slope makes the line go downwards and to the right.</em>
Answer:
The state income tax to be paid will be $ 2,300.
Step-by-step explanation:
Given that an annual salary of $ 40,000 pays a state income tax of 5.75% of said value, to determine the total amount of tax to be paid, the following calculation must be made:
40,000 x 5.75 / 100 = X
230,000 / 100 = X
2,300 = X
Therefore, the state income tax to be paid will be $ 2,300.
The ordered pair that is a solution of the system is (-2, 8).
<h3>Which ordered pair is included in the solution set to the following system?</h3>
Here we have the system of inequalities:
y > x² + 3
y < x² - 3x + 2
To check which points are solutions of the system, we can just evaluate both inequalities in the given points and see if they are true.
For example, for the first point (-2, 8) if we evaluate it in the two inequalities we get:
8 > (-2)² + 3 = 7
8 < (-2)² - 3*(-2) + 2 = 12
As we can see, both inequalities are true. So we conclude that (-2, 8) is the solution.
(if you use any other of the 3 points you will see that at least one of the inequalities becomes false).
If you want to learn more about inequalities:
brainly.com/question/18881247
#SPJ1
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point A:
In point B:
In point C:
For df = 70, the top 5% critical t score
tcrit = 1.666914479
Thus,
In point D:
For df = 70, the top 5% critical t score
tcrit = -1.666914479
In point E:
The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is
tcrit = -1.293762898
In point F:
The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is
tcrit = 1.293762898