Answer:
Step-by-step explanation:
As the line is perpendicular to 
, we know that the slope of the line is 
. As it passes through 
, we know that it should be .
A complement is angle that can be added to another to equal 90 degrees.
So two times the same number would equal 90.
90 / 2 = 45
The angle that is its own complement is 45 degrees.
Y = 104°
z = 24
Angle y° and (5z - 44)° are linear pairs, meaning that the two measures together will add up to 180°.
To solve for z, know that (5z - 44)° and 76° are vertical angles, meaning that both angles are the same.
So simply set them equal to each other to find z:
5z - 44 = 76
5z = 76 + 44
5z = 120
z = 24
Now to solve for y, remember that since (5z - 44)° and 76° are vertical angles, they are the same, meaning you can denote (5z - 44)° as simply 76°. Like I said earlier, y and 76° are a linear pair so simply subtract 76 from 180 to find y:
180 - 76 = 104°
Answer:
58%
Step-by-step explanation:
Given the exponential relation :
Y=52(0.42)^x
Since 0.42 is less than 1, then we can infer that the expression is a Decay function ;
. General form of a exponential function :
y = A(1 - r)^x ; r = Decay rate
Comparing the general equation with the equation given ;
The percentage rate of decrease is obtained thus :
1 - r = 0.42
1 - 0.42 = r
r = 0.58
Rate = 0.58 * 100%
Rate = 58%
Answer:
2
Step-by-step explanation:
(6+2)x 12 =96
