Answer:
350 adult tickets were sold.
Step-by-step explanation:
let x = number of adult tickets
number of student tickets -> x-71
x - 71 + x = 629
2x - 71 = 629
2x = 700
x = 350
1) Prime
<span>2) (x + 5)(x − 1) = x²-1x+5x-5= x²+4x-5
3) (x − 5)(x − 1)= x² -1x -5x +5= x² -6x +5
4) (x + 5)(x + 1) = x² +1x +5x+ 5x = x² +6x+5
It is 1) Prime
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The answer is “B” because if you do the work correctly that will be your outcome
<h3>
Answer: Choice D. 8m, 9m, 10m</h3>
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Explanation:
If a = 8 and b = 9 are the two legs of a triangle and c = 10 is the hypotenuse, then
a^2 + b^2 = c^2
8^2 + 9^2 = 10^2
64 + 81 = 100
145 = 100
We get a false equation as 145 and 100 are two different values. So the original equation is false when (a,b,c) = (8,9,10)
By the converse of the pythagorean theorem, we have proven that this particular triangle is not a right triangle
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Contrast this with something like choice A where we have a = 3, b = 4, c = 5 leading to
a^2 + b^2 = c^2
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
we get a true equation so a triangle with sides 3,4,5 is a right triangle. Choices B and C follow a similar path.