Answer:
Last option: 4
Step-by-step explanation:
The quadratic equation simplified:
has the form:

In this case, you can identify that "a", "b" and "c" are:

To solve this quadratic equation by completing the square, Carlos should add
to both sides of the equation. This is:

Then:
Therefore you can observe that the number he should add to both sides of the equation is: 4
Answer:

Step-by-step explanation:
Two angles are supplementary when they add up to 180°.
So we know that:

Supplanting we get:

We add up the X's.


Then we send 64 to the other side adding:



And then the 8 goes dividing:


Well, anything that's rotated (turned), reflected (flipped), or translated (moved) is still the same shape of the same size, so the new figures would be congruent with the originals. Dilation, however, is when the shape stays the same but the size changes, so when a figure is dilated, it's not congruent, just similar. 2 out of the 4 are dilated, so those ones would be the answer.
Step-by-step explanation:
The highest common factor is found by multiplying all the factors which appear in both lists: So the HCF of 60 and 72 is 2 × 2 × 3 which is 12.
Once, it goes into eight once.
If it went in there two times you'd have 10, and so on.
Hope this helps.