First we need to define our conditions. Since the angles are complimentary, the sum of the angles must be equal to 90 degrees.
let x = first angle
y = second angle
x + y = 90
from the second condition in the problem
x + y =72 + x -y
solving for x
x= 54
therefore the shorter side is 90 - 54 = y
y = 36 degree, the shorter side
You want to solve this set of linear equations by the elimination method.
Let x=price of bag of flour and y=price of bag of sugar
Multiply the first equation by -3.
-3(7x+5y=584)
Multiply the second equation by 5.
5(5x+3y=384)
Solve by elimination.
X=42
Substitute value of x into one of the original equations.
Y=58
Anything withdrawn you subtract. Then, you know the total and you know what you had. Subtract total from what you had and you will see the change.
1735.97-100=1635.97
1668.71-1635.97=32.74
Answer:
I cannot answer all of this, so I will only answer what I can:
Q1: 13
Q3: 22.5
IQR: 13.5
IQR(1.5): 20.25
Q3 + IQR(1.5) = 43
Q1 - IQR(1.5) = -7.25
I don't know if my calculations are all right but I hope this helps! :)
Answer: Two regular octagons and eight congruent rectangles
Step-by-step explanation:
An octagon has 8 sides and the shapes on the bottom of the shape are 8 rectangles.