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.
Answer:
35x + 15
Step-by-step explanation:
5x(7 + 3)
35x + 15
Answer:
(f - g)(2) = 2
Step-by-step explanation:
Given the functions below, find (f - g) (2).
f(x) = x² + 3
g(x) = 4x – 3
(f - g)(x) = (x²+3)-(4x-3)
(f - g)(x) = x²+3-4x+3
(f - g)(x) = x²-4x+6
(f - g)(2) = (2)²-4(2)+6
(f - g)(2) = 4-8+6
(f - g)(2) = 2
Time is the independent variable
Answer:
c) The equation to find the price of each shrub is $53.50 = 4 p + $17.50
The cost of 1 shrub = p = $ 9.00
Step-by-step explanation:
The total number of shrubs purchased = 4
The price paid for potting soil = $17.50
The total bill of purchase = $53.50
Let us assume the cost of 1 shrub = $p
The total amount spent of 4 shrubs = 4 x ( The price of each shrub) = 4 p
TOTAL BILL = The amount paid for 4 shrubs + AMOUNT paid for SOIL
⇒ $53.50 = 4 p + $17.50
Now. solving for p, we get:
53.50 - 17.50 = 4 p
or, 3 6 = 4 p
or, p = 36/4 = 9
or, p = 9
Hence, the cost of each shrub = $9
