Answer:
35 degrees
Step-by-step explanation:
The sum of all angles in a triangle equals to 180
To find angle z, just subtract 55 and 90 from 180
180-55-90= 35
Angle z = 35 degrees
Hope this helps
Answer:
Step-by-step explanation:
Let's say that the time it took him to get to work in the morning is t hours. Then the time it took him to get home in the afternoon must be 1 - t hours. We know that for any trip, distance equals rate times time or d = rt . That means that the distance he drove to work is given by , but we also know that the distance he drove to get home must be the same distance, because he took the same route (and, presumably, no one picked up him house and moved it while he was at work) so for the trip home we can say d = 30 × (1 - t) and since the distances are equal, we can say:
45t = 30 × (1 - t)
45t = 30 - 30t
45t + 30t = 30
75t = 30
t = 30/75
t = 2 /5 hour to drive to work at 45mph
Since , d = rt
d = 45 ×(2/5) = 18miles
Divide the number of quarts you have by 4 to convert to gallons
![1\frac{5}{6}](https://tex.z-dn.net/?f=%201%5Cfrac%7B5%7D%7B6%7D%20)
=
![\frac{11}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%7D%7B6%7D%20)
, and when you multiply it by 5 it turns into
![\frac{55}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B55%7D%7B6%7D%20)
, which is
![9\frac{1}{6}](https://tex.z-dn.net/?f=%209%5Cfrac%7B1%7D%7B6%7D%20)
So in conclusion he watched 9 & 10 minutes watching the movie