The middle.
Which is the Origin
<span>n + (n + 1) + (n + 2) = 36
Let's first create the equation ourselves and then see if it fits any of the available options. We want 3 consecutive integers that add up to 36. Let's use the value "n" to represent the first number in the sequence.
n
Now the next number will be n+1 and the third will be n+2. And since we want the sum, we get
n + n + 1 + n + 2 = ?
And finally, we want the sum to be 36, so our final equation is
n + n + 1 + n + 2 = 36
With this equation in mind, let's look at the available choices.
n + (n + 2) + (n + 4) = 36
Well, it has the 36 OK, but it has +2 and +4 where we have +1 and +2. So it won't fit and it's wrong.
n + (n + 1) + (n + 3) = 36
Closer. Got the 36 and the +1. But it has +3 instead of +2, so not a fit either.
n + (n + 1) + (n + 2) = 36
This looks good. Has a couple of extra parenthesis, but they don't affect the final answer and it has the +1, +2 and the 36. This one is correct.
n + (n â’ 1) + (n â’ 3) = 36
Hmm. The n - 1 has a possibility. Perhaps they want n to be the middle of the 3 numbers to add. If that's the case, then the other number should be n+1 which it isn't. Maybe they want the n to be the last number. If that's the case, then the third number should be n-2. But that doesn't work either. So this equation won't work.
So of the 4 choices, the only answer that works is "n + (n + 1) + (n + 2) = 36"</span>
Answer:
x = 6i, -6i
Explanation:
x² = 1 - 37 (subtract)
x² = -36 (square root both sides)
x = ±√-36 (breakdown)
x = +√-36, -√-36 (simplify)
x = 6i, -6i
Using an indirect proof:
Assume that the figure is a trapezoid.
All trapezoids are quadrilaterals.
All quadrilaterals' interior angles add up to 360° because any n-gon's interior angles add up to 180(n-2)°.
We are given that the trapezoid has three right angles.
All right angles are 90°, thus these right angles have a total measure of 270°.
We can conclude fourth angle must be 90°.
If it has four right angles, it is a rectangle.
Rectangles have two sets of parallel sides.
However, trapezoids have exactly one set of parallel sides.
Alas, our figure cannot be a trapezoid.
