To find the answer, set up a system of equations.
Let x=adult tickets and y=senior citizen tickets.
x+y=556
22x+12y=8492
Change the first equation to make it easy to combine with the second equation.
y=556-x
Now substitute (556-x) for y in the second equation.
22x+12(556-x)=8492
Simplify and combine like terms.
22x+6672-12x=8492
10x=1820
x=182
182 adult tickets were sold, so to solve for the number of senior citizen tickets sold, subtract 182 from 556.
556-182=374
374 senior citizen tickets were sold.
<span>An obtuse triangle will have one and only one obtuse angle. </span>
<span>The other two angles are acute angles.</span>
<span>The sum of the two angles other than the obtuse angle is less than 90º.<span /></span>
<span><span>The side opposite to the obtuse angle is the longest side of the triangle.</span></span>
<span><span>
</span><span>The points of concurrency, the Circumcenter and the Orthocenter lie outside of an obtuse triangle, while Centroid and Incenter lie inside the triangle.
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Area of a rectangle = length x height
Area = 135
Height = X
Lenght = x +6
135 = x * x+6
Simplify:
135 = x^2 +6x
Subtract 135 from both sides:
x^2 + 6x - 135 = 0
Solve:
2 numbers when added need to equal 6 and when multiplied equal -135
x = 9 and x = -15
The height can't be a negative number so the height is 9
Length = 9 +6 = 15
Height = 9cm, Length = 15 cm
