The vertical angles are equal to each other, that is, one of the one-sided corners will be 116°.
The sum of the one-sided angles is 180°, which means: 4x+116 = 180°
4x = 180-116 => 4x = 64°
x = 64/4 = 16°.
The sum of two adjacent angles is 180°. which means, that: 2x-3y = 180-64 = 116°
2x-3y = 116°
-2x+3y = -116
-32+3y = -116
3y = -116-(-32)
3y = -84
y = -84/3 => y = -28.
The coordinates of the midpoint of the line segment is the average of the coordinates of both end points. For this example above, let (x, y) be the coordinates of point Q.
(abscissa) -6 = (-1 + x) / 2 ; x = -11
(ordinate) -3 = (-4 + y) / 2 ; y = -2
Therefore, the coordinates of point Q is (-11, -2). The answer is letter A.
Answer:
independent and explanatory
Step-by-step explanation:
In a study, an independent variable may be defined as the variable that does not affect the other variables in the study when it is changed. Thus a variable is said to be independent when it is not affected by the any other variable in the study.
Whereas, an explanatory variable can be manipulated or changed by the experimenter. It is the variable that is not independent for certain variables.
Thus in the context, the scatterplot showing the total precipitation and the percent of the people who tested positive for the malaria test. The precipitation from the graph is the independent as well as the explanatory variable.
The answer you are looking for is b = -6.
There are 2 ways to find this. You could use...
- Add together 7 and 12 to get 19, then subtract 19 from both sides to get b = -6. OR...
- Subtract 12 from both sides to get b + 7 = 1, then subtract 7 from both sides to get b = -6.
Either way, you will get the same answer of b = -6. One method is just longer than the other. I hope this helps!
Answer:
S - 8
Step-by-step explanation:
S - 8.
hope this helps! Have a great day!