Answer:

Step-by-step explanation:
Because vertical angles are always equal, we want to solve
.
We can add 10 to both sides to get
.
We can subtract
from both sides to get
.
Lastly, we divide both sides by 20 to get
.
So,
and we're done!
The check is left as an exercise to the reader.
If you expand out the brackets you get this,
(4+5i)(a+2i) = 4a + (5a)i + 8i - 10
The -10 comes from 5i * 2i.
Squaring i becomes -1.
Let's group the real stuff together,
and imaginary separately,
(4a - 10) + (5a + 8)i
For this to be purely imaginary,
the real part needs to be zero.
Therefore 4a - 10 = 0
Solve for a.
Answer:
18
Step-by-step explanation:
Every mixed number is (a whole number) + (a piece of another one).
So every mixed number must be bigger than ' 1 ', because ' 1 ' is the
smallest whole number.
77/200 is less than ' 1 ', because the numerator is less than the
denominator. So it doesn't have what it takes to be a whole number.
Every fraction is a short way to write a division problem. It means
(the top number) divided by (the bottom number).
When you actually do the division, the answer is the decimal form
of the fraction.
When you divide 77 by 200 , you get 0.385 .
Answer: Third option.
Step-by-step explanation:
According to the information given in the exercise, you can find an approximation of the the total cost in dollars of raising a child in the United States ( from birth to 17 years) given a household's annual income, with the following equation:

Where "x" represents the household's annual income in dollars.
Therefore, if the annual income is $62,500; you can identify that:

Then, in order to calculat the approximated cost to raise a child in a household with that annual income given in the exercise, you need to substitute that value of "x" into the equation and then you must evaluate in order to find the value of "y".
Through this procedure you get the following result:
