Vertical angles are equal
5x - 40 = 3x + 8
5x - 3x = 8 + 40
2x = 48
x = 48/2
x = 24
m∠ABC = 3x + 8 = 3 * 24 + 8 = 80°
(or m∠ABC = 5x - 40 = 5 * 24 - 40 = 80°)
Answer:
0.5 m/s
Falling at 32 feet/s
Step-by-step explanation:
For the first question, since it only asks for the average time between 2 and 8 seconds, those are the only two important values. When taking the inputs and outputs for 2 and 8 seconds after the throw ((2,3) and (8,6) respectively), we can take the average change by finding the change in y/change in x, so we have (6-3)/(8-2)=0.5 meters/second.
For the second question, we can similarly just take the values from the initial drop (144) and after two seconds (80) to get that the rate of change is (144-80)/(-2)=-32, so it's falling at 32 feet/second.
Let me know if you have any questions!
A. y=-4x-4 where m=-4 and c=-4 for the equation y=mx+c
Answer: 
Step-by-step explanation:
- The equation of the line in point-slope form is:

Where m is the slope and
is a point of the line.
- The equation of the line
is written is slope-intercept form, where the slope is
.
- By definition, when two lines are perpendicular to each other, the slopes are the negative reciprocals. Therefore, the slope of the perpendicular line must be -3.
- Substitute the point P and the slope -3 into the equation in point-slope form, therefore, you obtain:

17 fifty dollar bills were needed.
The total was $885
885 / 50 = 17.7