Answer:
105
Step-by-step explanation:
Let the angle of B be x
According to the question,
5x+x=90
or, 6x=90
or, x=15
The angle of B is 15
The angle of A is (15*5)=75
The supplementary angle of A is
(180-75)=105
Answer: the speed of the current is 9 mph.
Step-by-step explanation:
Let x represent the speed of the current.
A boat can travel 21 mph in still water. If it travels 270 miles with the current. It means that the total speed with which the boat travelled with the current is (21 + x) mph.
Time = distance/speed
Time spent by the boat in travelling 270 miles is
270/(21 + x)
In the same length of time, it travels 108 miles against the current. It means that the total speed with which the boat travelled against the current is (21 - x) mph.
Time = distance/speed
Time spent by the boat in travelling 108 miles is
108/(21 - x)
Since the time is the same, then
270/(21 + x) = 108/(21 - x)
270(21 - x) = 108(21 + x)
5670 - 270x = 2268 - 108x
108x + 270x = 5670 - 2268
378x = 3402
x = 3402/378
x = 9
Answer: There are 24 more payments made.
Step-by-step explanation:
In a 5 year loan there is 60 months
In a 3 year loan there is 36 months.
The graph of the equation y = m^x passes through the point (1, m)
<h3>Equation of a graph</h3>
Given the equation of a graph expressed as y = m^x
We need to determine the coordinate point that lies on this graph.
If x = 1, substitute into the formula to have:
y =m^1
y = m
Hence the required coordinate will be (1, m)
Learn more on equation of graph here: brainly.com/question/24894997
Answer:
84/90
Step-by-step explanation:
Let 0.9333....... be x.
10x = 9.3333....... & 100x = 93.33333.......
So,
=> 100x - 10x = 93.33333...... - 9.333333.....
=> 90x = 84
=> x = 84/90
