Answer:
The answer to your question is: x = 15 and y = 17
Step-by-step explanation:
∠A = 6x
∠B = 9y - 63
they are linear pair, their addition gives 180°
but it also mention that linear pair with equal measure, so each angle measures 90°
6x = 90
x = 90/6
x = 15
9y - 63 = 90
9y = 90 + 63
9y = 153
y = 153/9
y = 17
Answer:
The average rate of change is equal to 
Step-by-step explanation:
we have
-----> this is a linear direct variation
we know that
The rate of change of a linear variation is a constant
The rate of change of a linear variation is equal to the slope of the line
In this problem the slope of the line is equal to 
therefore
The average rate of change is equal to
<u>Verify</u>
the average rate of change is equal to
In this problem we have
Substitute
9514 1404 393
Answer:
a) 3.491 in/s
b) 3.333 RPM
c) 0.349 rad/s
Step-by-step explanation:
We know the arc length for a given radius and angle is ...
s = rθ
so the linear speed along the arc is ...
s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s
__
The rotation rate of 20°/s is an angular velocity of ...
(20°/s)(60s/min)(1 rev/360°) = 3.333 RPM
__
In the first part, we found the angular speed to be π/9 radians/sec. That's about ...
π/9 rad/s ≈ 0.349 rad/s
The laundry one is C
The ladder one is B.
