<span>We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12.
Let r = # of rows and s = # of seats in a row.
Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows.
Then
r x (r + 12) = 1564
or
r**2 + 12*r - 1564 = 0, which is a quadratic equation.
The general solution of a quadratic equation is:
x = (-b +or- square-root( b**2 - 4ac))/2a
In our case, a = 1, b = +12 and c = -1564, so
x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1
= (-12 +or- square-root( 144 + 6256 ) ) / 2
= (-12 +or- square-root( 6400 ) ) / 2
= (-12 +or- 80) / 2
= 34 or - 46
We ignore -46 since negative rows are not possible, and have:
rows = 34
and
seats per row = 34 + 12 = 46
as a check 34 x 46 = 1564 = total seats</span>
Answer:
58
Step-by-step explanation:
The triangles are congruent so you can do 180-32-90, which is equal to the angle at c
He should be able to travel 322 miles. It would cost him $33.235 rounded up to $33.24.
Answer:
x = 3
Step-by-step explanation:
(25x)° = (22x + 9)° Divide each side by 1°
25x = 22x + 9 Subtract 22x from each side
3x = 9 Divide each side by 3
x = 3
<em>Check:
</em>
(25× 3)° = (22×3 + 9)°
75° = (66 + 9)°
75° = 75°
