∠BCD = 57°
∴ ∠BDR = ∠BCD = 57° (angle that meets the chord and the tangent is equi-angular to the angle at the alternate segment)
Answer:
22.35 m/s
Step-by-step explanation:
The distance is always a positive unit, so distance traveled (d) = 15 miles
Time (t) = 0.3 hours
Time (t) = 0.3 * 60 = 18 minutes
(1 hour = 60 minutes)
Velocity (v) = ?
The formula of distance is: d = v*t
=> v = d/t = 15/18 = 0.83 miles/minute
we can also calculate velocity is meter/sec, for that
1 minute = 60 sec
=> 18 mins = 18*60 = 1080 sec
1 mile = 1609.34 meters
=> 15 miles = 15 * 1609.34 = 24,140 m
hence,
v = 24,140/1080 = 22.35 m/s
Because the angles are supplementary, they add to 180 degrees.
I solved this by dividing

which gives me 30 degrees.
multiply 30 by 5 gives you 150.
and 30 + 150 = 180
Answer:
D. y = { -x + 2 x ≥ 1}
{ x + 1 x < 1}
Step-by-step explanation:
First is to eliminate A and C, why?
This is because of the end points shown on the graph.
As shown, if you look at the point of (2,1) it is black, this means that not only is it closed but it is also means ≤ or ≥ symbol.
You are now left with B and D
The difference between these two is the symbols; they are facing the opposite directions.
While B says x ≤ 1, and x > 1
While D says x ≥ 1, and x < 1
The direction of the symbols depends on the direction of the lines and what is part of it (some what like a shaded area)
So you answer would be D
Angle C prime D prime and A prime