Answer:
x = 3
Step-by-step explanation:
a triangle has 180 degrees in all
a square for an angle is 90 degrees
we can add them all together and get 180
90 + 45 + 8x + 21 = 180
combine like terms
156 + 8x = 180
subtract 156 to each side
8x = 24
then find x
x = 3
The net pay is the amount left after taxes and deductions have been removed from the gross pay.
Her monthly gross pay is: $4111.93
The deductions are:
![\mathbf{FIT = \$102}](https://tex.z-dn.net/?f=%5Cmathbf%7BFIT%20%3D%20%5C%24102%7D)
![\mathbf{SIT = 3.2\%}](https://tex.z-dn.net/?f=%5Cmathbf%7BSIT%20%3D%203.2%5C%25%7D)
![\mathbf{CIT = 1.8\%}](https://tex.z-dn.net/?f=%5Cmathbf%7BCIT%20%3D%201.8%5C%25%7D)
Let her gross pay be x.
So, we have:
![\mathbf{Net = x - FIT - x \times SIT - x \times CIT}](https://tex.z-dn.net/?f=%5Cmathbf%7BNet%20%3D%20x%20-%20FIT%20-%20x%20%5Ctimes%20SIT%20-%20x%20%5Ctimes%20CIT%7D)
So, we have:
![\mathbf{3804.33 = x - 102 - x \times 3.2\%- x \times 1.8\%}](https://tex.z-dn.net/?f=%5Cmathbf%7B3804.33%20%3D%20x%20-%20102%20-%20x%20%5Ctimes%203.2%5C%25-%20x%20%5Ctimes%201.8%5C%25%7D)
Express percentage as decimals
![\mathbf{3804.33 = x - 102 - x \times 0.032- x \times 0.018}](https://tex.z-dn.net/?f=%5Cmathbf%7B3804.33%20%3D%20x%20-%20102%20-%20x%20%5Ctimes%200.032-%20x%20%5Ctimes%200.018%7D)
![\mathbf{3804.33 = x - 102 - 0.032x - 0.018x}](https://tex.z-dn.net/?f=%5Cmathbf%7B3804.33%20%3D%20x%20-%20102%20-%200.032x%20-%20%200.018x%7D)
Add 102 to both sides
![\mathbf{3906.33 = x - 0.032x - 0.018x}](https://tex.z-dn.net/?f=%5Cmathbf%7B3906.33%20%3D%20x%20-%200.032x%20-%20%200.018x%7D)
![\mathbf{3906.33 = 0.95x}](https://tex.z-dn.net/?f=%5Cmathbf%7B3906.33%20%3D%200.95x%7D)
Divide both sides by 0.95
![\mathbf{4111.93 = x}](https://tex.z-dn.net/?f=%5Cmathbf%7B4111.93%20%3D%20x%7D)
Rewrite as:
![\mathbf{x = 4111.93 }](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%20%3D%204111.93%20%7D)
Hence, her monthly gross pay is: $4111.93
Read more about gross and net pay at:
brainly.com/question/8952173
Well, estimate means to get like a general idea, or "in the ball park".
The factors include; the trip which is $26, and the ammount of students in the class, which is 22.
In order to estimate, you need to round.
$26 rounded becomes $30.
22 rounded becomes 20.
So now that we have the rounded numbers, we solve the problem. In order to find the total cost for all the students, we multiply the amount of students, by the ammount of money it costs per student.
The estimated version of this is: 20x30=600
This means that the estimated answer is $600 total.
Now do the same thing with the actual numbers.
22x26=572.
This means that the actual answer is $572.
The roumded total
Answer is $600.
You can say it is better use the actual numbers, and not estimate, because it is the actual answer.
I hope this helps you, im sorry for the long answer :)