The angles are complementary meaning they =90 degrees.
So take (x-20) and x, and write this equation,
x-20+x=90
2x-20=90
move the 20 over
2x-20=90
+20 +20
2x=110
x=55.
You can check it by plugging it back in,
(55-20)=35
and
x=55
35+55=90.
Thus, you know your answer is correct.
Answer:
Step-by-step explanation:
y - 4 = 5(x - 1)
y - 4 = 5x - 5
y = 5x - 1
Answer:
33.94
Explanation:
First start off by finding the total regardless of the 5.25 cents.
(3x8.50)+(3x1.25)+(2x1.50)=32.25
Then take that answer and multiply by your 5.25 cents per dollar
32.25x.0525 (since we're dealing with money)
then add that answer to the original 32.25
Answer:
P=3T-50
Step-by-step explanation:
Form the given four values we can assume a linear relationship between profit and the no of tickets sold.
Let the equation corresponding to that be some P=aT+b.
Now substitute the first set of values(100,50) in the above equation we get
100=50a+b.
Now substituting second set of values (100,250) we get 250=100a+b.
Let these equations be eq1 and eq2.
Now substract eq1 from eq2 we get 50a=150 or a=3.
Substitite value of a in one of the equations we get b=-50.
∴P=3T-50