Answers:
22.)D
23.)D
How?
Explaining number 22:
Well, let’s disprove each one of them.
A.) A is saying 6x=7. Even if we simplify that, it wouldn’t make any sense in what we are trying to do. That equation is equal to x=0.86(estimated to nearest tenth)
B.) B says that 6x=3. When we simplify this, we get x=0.5. That isn’t the number we want, so we know B isn’t right
C.) C is equivalent to 2x+2=6. Let’s simplify since it is multi-step.
2x+2=6
2x=6
x=3
Since we want x to be six, this wouldn’t be the answer either.
D.) D is saying 2x=12. When simplified, this becomes x=6. BINGO THERE IS OUR ANSWER
Explaining 23:
For this, I also used process of elimination.
Remember that x is equal to 2.5
A.)
x+3=5.5
2.5+3=5.5
5.5=5.5
That works.
B.)
2x=5
2(2.5)=5
5=5
That works.
C.)
2.5/2=1.25
1.25=1.25
That works
D.)
x-10=7.5
2.5-10=7.5
-7.5=7.5
THAT DOESNT WORK THERE IS OUR ANSWER
Answer:
Step-by-step explanation:
It is a result that a matrix 
is orthogonally diagonalizable if and only if is a symmetric matrix. According with the data you provided the matrix should be
We know that its eigenvalues are 
, where 
has multiplicity two.
So if we calculate the corresponding eigenspaces for each eigenvalue we have
,
.
With this in mind we can form the matrices 
that diagonalizes the matrix so.
and
Observe that the rows of 
are the eigenvectors corresponding to the eigen values.
Now you only need to normalize each row of dividing by its norm, as a row vector.
The matrix you have to obtain is the matrix shown below
Answer:
They are not congruent because the lines aren't parallel.
Step-by-step explanation:
For all of those angle relation theorems to be valid, PARALLEL lines need to be split by a transversal.
