Tan=Opposite/Adjacent
The required angle is A (Tan A)
So, tanA=24/10
=12/5
Answer:
They have the same slope
Step-by-step explanation:
slope=4
We'll first simplify both sides of the expression to get (simply using the distributive property):

Then, we can simplify a little bit:

To solve for n, we have to isolate it. Let's subtract 3n from both sides to further simplify it:

Then, add 18 to both sides to get the value of n:

And that's your answer. If you have questions on how I got that, feel free to ask!
Answer:45 mi/h
Step-by-step explanation:
Recall: Speed = distance / time
Let the time taken for the morning journey be
and the time taken for the afternoon journey be
,and the distance covered be d
that means for the first journey,
30 = 
d = 30 
Also for the afternoon journey,
d = 60 
Equating the two , since the same distance is being covered , we have
30
= 60 
that is
= 
= 2 
Also ,
total distance covered = 30
+ 60 
Average speed = total distance / total time
= 30
+ 60
/
+
Recall that
= 2
, substitute this into the formula for average speed , then we have
Average speed = 30(2
) +60
/ 3
Average speed = 120
/ 3
Therefore :
Average speed = 40 mi/hr