ANSWER
Quotient:
Remainder:
EXPLANATION
The given functions are
and
We want to find the remainder and quotient when f(x) is divided by g(x).
We perform the long division as shown in the attachment.
The quotient is
The remainder is
D. Customer who buy at least 25 tickets will pay $1.50 each
Correct answer is: distance from D to AB is 6cm
Solution:-
Let us assume E is the altitude drawn from D to AB.
Given that m∠ACB=120° and ABC is isosceles which means
m∠ABC=m∠BAC = 
And AC= BC
Let AC=BC=x
Then from ΔACD , cos(∠ACD) = 
Since DCB is a straight line m∠ACD+m∠ACB =180
m∠ACD = 180-m∠ACB = 60
Hence 
Now let us consider ΔBDE, sin(∠DBE) = 
LW = 45
L + 2W = 19
L = 19-2W
substituting for L :-
W(19-2W) = 45
-2W^2 + 19W = 45
2W^2 - 19W + 45 = 0
W = 5 or 4.5
If W = 5, L = 9
If W = 4.5, L = 10
So there are 2 possible answers.
Answer:
angle 7= 66
Step-by-step explanation:
Angle 1 is equal to the 114 degrees. And angle 1 + angle 7 = 180. So it would be 114 + angle 7 = 180. So you do 180-114 = 66. So angle 7= 66.
The other way is that 114 + angle 6 = 180, so you do 180-114= 66.
And agle 6 is equal to angle 7, so that's another way you can know that angle 7= 66
