Answer:
32 degrees.
Step-by-step explanation:
So every triangle =180 degrees.
Firstly, 14 + 45 = 59
Secondly, 180 - 59 = 121
so angle AEB = 121 degrees.
Using vertical angles theorum, angles AEB and CED are equal to each other
so CED = 121 degrees.
121 + 27 = 148
then 180 - 148 = 32
Angle D = 32 degrees
(might want to fact check this I am pretty tired
The total amount he should pay is $69.6
20% of 58 is 11.6
11.6+58=69.6
First find the slope of the line segment joining the points.
Slope = ((-5)-7)/(1-(-3)) = -3
The slope of any perpendicular to the line is 1/3
Find the midpoint of the line segment by taking the average of the coordinates.
x-coord of midpoint = (-3+1)/2 = -1
y-coord of midpoint = (7-5)/2 = 1
Midpoint : (-1,1)
Point-slope equation for line of slope 1/3 that passes through (-1,1):
y-1 = (1/3)(x+1)
f ( 7 ) = 2.4 ft
Step-by-step explanation:
Solution:-
- This is modeled using a geometric sequence function with initial height from which ball is dropped hi = 18 feet, and a decrease in height by 25% after each successive bounce :
f ( x ) = 18 (0.75)^x
Where, x e [ 0 , ∞ ) : The number of bounces.
f (x) : The maximum height after xth bounce.
- The maximum height reached by the ball after its 7th bounce. So, x = 7:
f ( 7 ) = 18 (0.75)^7
f ( 7 ) = 2.4027 ft
- To the nearest tenth:
f ( 7 ) = 2.4 ft
