Answer:
m 1 = 45 degrees because 1 and the angle measuring 135 degrees are supplementary angles.
m 2 = 95 degrees because 2 and the angle measuring 95 degrees are vertical angles.
m 3 = 40 degrees because 1, 2, and 3 form a triangle
Step-by-step explanation:
Answer:
intersecting
Step-by-step explanation:
Answer: <span>y - 37.5 = 2.5 ( x - 7)
Explanation:
1) The point-slope form is has this form:
y - y1 = m (x - x1)
Where m is the slope or rate of change and x1, y1 are the coordinates of the point.
2) you are told that the the rate of change of water (m) is 2.5
m = 2.5
3) The point is given by that after 7 min the rain barrel contains 37.5 gallons. This is:
x1 = 7
y1 = 37.5
</span>4) Replace those value in the point-slope model:
y - 37.5 = 2.5 ( x - 7)
That is the point-slope model or equation.
Answer:
B.![x^{2} +2x-8](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x-8)
Step-by-step explanation:
Here the best method to solve is by substituting the end values of the set in each option , otherwise it will a time consuming problem.
Now substitute x=-4 in all the options
A.![x^{2} -2x-8](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-2x-8)
16+8-8=16>0
so out of option A and C option C is correct.
B.![x^{2} +2x-8](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x-8)
16-8-8=0 which means for the values of x>-4
is less than 0
Now substitute x=2 in all the options
A.![x^{2} -2x-8](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-2x-8)
4-4-8=-8<0 . so option A and C both are incorrect.
B.![x^{2} +2x-8](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x-8)
4+4-8=0 which means for the values of x<2
is less than 0
Therefore the correct option is B
39=3m-15
39+15=3m
54=3m
54/3=3m/3
m=18