Answer:
The larger angle is 52. 4
The smaller angle is 37. 6
Step-by-step explanation:
The equation is:
(x-14. 8)+x=90
x+x-14. 8=90
2x=90+14. 8
2x=104. 8
x=52. 4
The value for the larger angle is x
and x =52. 4
The value for the smaller angle is x-14. 8
and x-14. 8=52.4-14.8
=37.6
Verification
(x-14.8)+ x=90
(52.4-14.8)+52.4=90
37.6+52.4=90
90=90
<span>4 = (-8) + 3x
Add 8 to both sides
12= 3x
Divide 3 on both sides
Final Answer: 4=x</span>
Answer:
Alan: 200 m/min
Brian: 150 m/min
Step-by-step explanation:
Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.
To find : What are their rates, in meters per minute?
Solution :
Let n represent the number of laps that Alan completes in 9 minutes.
Then n-1 is the number of laps Brian completes.
45 seconds = 3/4 minutes.
The difference in their lap times in minutes per lap is

Solving the equation we get,








Neglecting n=-3
So, n=4
Then Alan's speed in m/min is



Brian completes 3 laps in that 9-minute time, so his rate is


Therefore, Alan: 200 m/min
Brian: 150 m/min
Answer:
-2
Step-by-step explanation:
By definition, the remainder is the portion of the dividend that is not evenly divisible by the divisor. Basically, it is what's left over. In this case, -2 is the amount left over after dividing this equation.