This one is a bit confusing without a diagram anyway. We'll assume the typical labeling where A and B are consecutive angles, so the transverse line AB through the parallels makes A and B supplementary:
A + B = 180 degrees
12x + 46 + 7x + 1 = 180
19x = 180 - 47 = 133
x = 133/19 - 7
Step-by-step explanation:
Note that t = d/r where t is time, d is distance, and r is rate/speed.
We can come up with two equations with the information given and the equation:
t_1 hr = (10 km)/(x km/hr)
t_2 hr = (12 km)/(x - 1 km/hr)
<em>where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.</em>
We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:
t_1 = t_2 - 1/2
Substituting the values we derived:
(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2
Then we can evaluate by multiplying by 2x(x-1) on both sides:
20(x-1) = 24x - (x)(x-1)
20x - 20 = 24x - x^2 + x
x^2 -5x -20 = 0
And we are done.
I hope this helps! :)
Answer:
3 – i hope i helped :)))))
Step-by-step explanation:
Okay, this is a proportion question. they make 45 flowers every 1 hour and 25 minutes, or 45/85(85 is equivalent to 1 hour and 25 minutes). and they made 100 flowers at the same rate as the first day. so you need to know how long it took them to make 100 flowers, if they make 45 every 85 minutes. so 45 (flowers) to 85 (minutes) = 100 (flowers) to x (minutes). or 45/85=100/x. so when you work that out, I came to 189 minutes, which is 3 hours and 9 minutes, so they stopped at 4:24. But you could round and get 4:25. Hope I didn't confuse you!
Answer:
642
Step-by-step explanation:
area equals LxW
divide 24396/38
answer 642
642x38= 24396