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
Answer:
64 is the perfect square
Step-by-step explanation:
its the perfect square because the square root is 8 and 8 is a whole number therefore 64 is the perfect square here.
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Answer:
Grapes=19.51
Step-by-step explanation:
Apples=$2.19 per pound
Grapes=$2.60 per pound
Apples+Grapes=20 pounds
A+G=20
A=20-G
Equation is
PaA+PgG=35.80
2.19A+2.60G=35.80
2.19(20-G)+2.60G=35.80
43.8-2.19G+2.60G=35.80
43.8-0.41G=35.80
-0.41G=35.80-43.8
-0.41G=-8
Divide both sides by 0.41
G=19.51 pounds
Recall
A=20-G
A=20-19.51
A=0.49 pounds
Vanessa: a dime = 10 cents = 0.10
A penny = 1 cent = 0.01
6 x 0.10 = 0.60
2 x 0.01 = 0.02
Total = 0.60 + 0.02 = 0.62
Joachim : a dollar = 1.00
3 x 0.10 = 0.30
5 x 0.01 = 0.05
Total = 1.00 + 0.30 + 0.05 = 1.35
Jimmy: total = 5.00 + 0.07 = 5.07
Total of all 3: 0.62 + 1.35 + 5.07 = $7.04
This is less than $8 so they don’t have enough.
They need: 8.00 - 7.04 = $0.96 more
This is how it would look like, hope that this is not too late to help you yet!
Have a great day!