If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
Let x = hours to meet
train one has a 2 hour head start or 210 km head start
210 + 105x = 135x
30x = 210
x = 7 hours to meet
Answer:
None of the options is correct
Step-by-step explanation:
It is important to know that he expression a < x < b means that x is greater than a and less than b. So, for finding the correct value let's analyse each option.
A. 4 < 50 < 5
50 is greater than 4 but it is not less than 5, so, option A is incorrect.
B. 7 < 50 < 8
50 is greater than 7 but it is not less than 8, so, option B is incorrect.
C. 8 < 50 < 9
50 is greater than 8 but it is not less than 9, so, option C is incorrect.
D. 10 < 50 < 11
50 is greater than 10 but it is not less than 11, so, option D is incorrect.
Thus, none of the options is correct.
Answer:
y = (3/4)x
Step-by-step explanation:
1) Find the slope of the line. As we go from ( -8,-6) to (12,9), x increases by 20 and y increases by 15. Thus, the slope, m, is m = rise / run = 15/20 = 3/4
2) Recognize that the y-intercept is zero (0) because this is direct variation; the line goes thru the origin.
3) write the equation of the line: y = mx + b becomes y = (3/4)x
