The angles with measures (5x + 4y)º and 74º are congruent because they form a pair of alternate interior angles between the parallel horizontal bars, so
5x + 4y = 74
The other two labeled angles are also congruent because they are corresponding interior angles that occur between the parallel vertical bars, so
20x + 4y = 164
Then
(20x + 4y) - (5x + 4y) = 164 - 74
(20x - 5x) + (4y - 4y) = 90
15x = 90
x = 6
which means
5*6 + 4y = 74
4y = 44
y = 11
To convert degrees to radians multiply degrees by pi/180.
So 90 degrees = 90pi/180 = pi/2 radians or 1.57 radians to the nearest hundredth.
Answer:

Step-by-step explanation:
The translation speed of the wheel is:


The angular speed of the wheel is:


Answer:
centre = (
, 1 )
Step-by-step explanation:
using the midpoint formula
midpoint = [
(- 1 + 4),
(5 - 3) ] = (
, 1 )