Let A be the angle of 79 degrees
B be the angle of (5y-4) degrees
C be the angle of (x+5) degrees
D be the angle of (9z-7) degrees
According to the property of parallelogram
Opposite angles are equal
We get, angle A = angle C
Since angle A = 79 degrees
And angle C = (x+5) degrees
We get, x+5=79
=> x=79-5=74.
Angle B = Angle D
(5y-4)=(9z-7)
Since there’s two variables here, we can’t use the property of “opposite angles are equivalent”
We have to use another property which is adjacent angles are equal
Therefore, we can find angle D
Angle D + Angle A=180
=> 9z-7 =180-79
z=108/9
z=12
Since (5y-4)=(9z-7)
Substitute z=12 in
We get, 5y-4=101
y= 105/5
y= 21
Therefore, x=74, y=21 and z=12.
<h3>Amount earned after 5 years is $ 9030.5561</h3>
<em><u>Solution:</u></em>
<em><u>The formula for compound interest, including principal sum, is:</u></em>

A = the future value of the investment including interest
P = the principal investment amount
r = the annual interest rate in decimal
n = the number of times that interest is compounded per unit t
t = the time the money is invested
From given,
p = 5000
t = 5 years

<em><u>n = 4 ( since interest is compounded quarterly )</u></em>
<em><u>Substituting the values we get,</u></em>

Thus amount earned after 5 years is $ 9030.5561
Answer:
4
Step-by-step explanation:
7x = x² - 8
=> x² - 7x - 8 = 0
use quadratic formula:
a = 1, b = -7, c = -8
x =
<em>(pls ignore the "A" I don't know why it's showing up)</em>
=> x =
=> x = 
=> x =
= 4 or
= -5 <em>(the answer is only 4 since it's asking for the positive solution)</em>
Step-by-step explanation:
eggs used : 50-12= 38 eggs
