Answer:
The
90
adult tickets sold were
45
%
of the
200
tickets sold to the concert.
Explanation:
Since
90
tickets out of
200
were adult tickets, the percentage (represented as
x
) can be calculated by this equation:
200
×
x
100
=
90
2
200
×
x
100
=
90
2
x
=
90
Divide both sides by
2
.
x
=
45
Step-by-step explanation:
Answer: D) 95°
Step-by-Step Solution:
We know that the Exterior Angle of a Triangle = Sum of Opposite Interior Angles of the Triangle.
Therefore,
∠1 = 53° + 42°
=> ∠1 = 95°
Hence, ∠1 = 95°
Answer: C (21)
Step-by-step explanation:
I am translating into algebra.
Set Scott's age five years ago to: x
Set Paul's age five years ago to: 2x-4
Scott's age now is his age five years ago, plus five, which is: x+5
Paul's age now is his age five years ago, plus five, which is: 2x-4+5 or 2x+1
Since Paul is now six years older than Scott, set Scott's age (x+5) equal to Paul's age, plus six, which is: 2x+1=x+5+6
Solve the equation to get: x=10
Substitute x for 10 in Paul's current age: 2*10+1=21.
Therefore, C is the correct answer.
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15