Answer and Step-by-step explanation:
Complementary angles = 90°
x= angle 1
(90-x)= angle 2
Subtract the two angles to get the difference between them (18°).
(90-x) - x= 18
combine like terms
90 - 2x= 18
subtract 90 from both sides
-2x= -72
divide both sides by -2
x= 36° angle 1
Substitute answer in to find angle 2:
=90 - x
=90 - 36
=54° angle 2
Hope this helps! :)
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
Answer:
2 yards
Step-by-step explanation:
I worked it out and I got south Africa
