Answer:
x = 31 °
Step-by-step explanation:
90 = 58 + x
x = 90 - 58
x = 31 °
Step-by-step explanation:
It came from nowhere. It makes no sense to add up the balance numbers. To illustrate, let's use a different example:
![\left[\begin{array}{cc}Spend&Balance\\100&400\\100&300\\100&200\\100&100\\100&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7DSpend%26Balance%5C%5C100%26400%5C%5C100%26300%5C%5C100%26200%5C%5C100%26100%5C%5C100%260%5Cend%7Barray%7D%5Cright%5D)
Adding up the money you spent, and you get $500. Add up the balances, and you get $1000. But why would you add the balances? The 300 in the second line is included in the 400 in the first line. You can't add them together. You'd be counting the 300 twice.
We can see that the lines intersect at (-5,3) on the graph, so that eliminates choices B and D. Both A and C say that the first line is y=x+8, which is true. A says that the second line is y+x=-2, and after isolating y, we get y=-x+2, which seems correct. Do the same for C, and you will find that it says the other equation is y=x-2, which is not true because it must have a negative slope. So your answer will be choice A.
Answer:

Step-by-step explanation:
Rationalizing the denominator of a fraction is when one multiplying fraction such that it removes any radical from the denominator. This can be done by multiplying both the numerator and the denominator by the radical that is present in the denominator. In fractional terms, a number over itself is equal to one, therefore, doing this would keep the equation true. After multiplying, one will simplify the resulting fraction.

Simplify like factor found in both the numerator and the denominator,

Answer:
16
Step-by-step explanation:
Boys is written first so 3:4 the 3 stands for boy.
12 boys in class means that the 3 from 3:4 was multiplied 4 times so you do the same to other side. 4 times 4 is 16, therefore the answer is 16.