Answer:
218 students purchased tickets at the dance.
Step-by-step explanation:
Let,
x be the number of presale tickets
y be the number of tickets sold at the dance
According to given statement;
x+y=334 Eqn 1
18x+24y=7320 Eqn 2
Multiplying Eqn 1 by 18
18(x+y=334)
18x+18y=6012 Eqn 3
Subtracting Eqn 3 from Eqn 2
(18x+24y)-(18x+18y)=7320-6012
18x+24y-18x-18y=1308
6y=1308

Therefore,
218 students purchased tickets at the dance.
Answer:
21,634 is the answer im pretty sure
Step-by-step explanation:
i think
Answer:
Segment BF = 16
Step-by-step explanation:
The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately
The given theorem is the Triangle Proportionality Theorem
According to the theorem, given that segment DE is parallel to segment BC, we have;

Therefore;

Which gives;

Similarly, given that EF is parallel to AB, we get;

Therefore;

Which gives;

Therefore, the statement that can be proved using the given theorem is segment BF = 16.
Answer:
A. 5x^2 - 2x - 12 = 0
Step-by-step explanation:
The base is x feet.
The height is 2 less that 5 times the base.
The height is 5x - 2.
The area is 12.
The area is base * height / 2.
area = bh/2
area = x * (5x - 2) = 12
5x^2 - 2x = 12
5x^2 - 2x - 12 = 0
Complementary angels add up to 90°
so x+18°=90°
so x=90-18=72°