Answer:
At least two of the lateral faces are congruent.
Step-by-step explanation:
Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.
hope this helps:)
Answer:
Step-by-step explanation:
Let 
Subbing in:

a = 9, b = -2, c = -7
The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:

Group together in groups of 2:

Now factor out what's common within each set of parenthesis:

We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:

Remember that 
so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring
gives us that x = 1 and -1. The other set is a bit more tricky. If
then
and

You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:
±
which will simplify down to
±
Those are the 4 solutions to the quartic equation.
The constant potion contains no variables ( no 'x')
So its 16
We can split the shape into a square of lengths, 12*12 and a triangle of lengths, 8*12. (This shape is not to scale BTW) The area of the square is 144, and the area of the right triangle is 48, so the answer is 192 square units squared.
Another way of doing this is using the trapezoid area formula, which is
(b1 + b2)/2 * h. So 32/2 * 12 = 16*12 = 192.
You can round 49 to 50 and you can round 162 to 200.
You know that 5 * 2 = 10, so 50 * 200 must be 1000. You just add the zeroes.