Answer: B same side interior angles
Step-by-step explanation:
Answer:
Parallel line slope = - 1/2
Perpendicular line slope = 2
Step-by-step explanation:
You have:
x: the number of reams of white paper purchased
y:the number of reams of blue paper purchased
Then, you have the following system of equations:
x+y=10
3.50x+3.75y=36
When you solve the system shown above, you obtain:
x=6
y=4
The answer is: 6 reams of white paper
<span>1, 7, 23, 161 is what can go into 161</span>
Answer:
You can proceed as follows:
Step-by-step explanation:
Suppose that the matrix
is invertible, and suppose that at least one of the matrices
is not invertible. Without loss of generality suppose that the matrix
is not invertible. Remember the important result that a matrix is invertible if and only if its determinant is nonzero. Then,

On the other hand, the determinant of a products of matrices is the product of the determinants of the matrices, that is to say,

But we supposed that
is not invertible. Then
. Then
. This contradicts the fact that

and then the three matrices
must be invertible matrices.