Answer:
x = 26
Step-by-step explanation:
The parallel lines are Line l and Line m. The other line shown is the transversal.
When 2 parallel lines are cut by a trasversal it creates 4 euqual angles and another 4 equal angles of different measure.
The angle "5x + 7" is equal to the angle "8x - 71" since they are <em><u>alternate exterior angles.</u></em>
<em><u /></em>
So, we can equate both expressions and use algebra to solve for "x". The process is shown below:
![5x+7=8x-71\\8x-5x=71+7\\3x=78\\x=\frac{78}{3}\\x=26](https://tex.z-dn.net/?f=5x%2B7%3D8x-71%5C%5C8x-5x%3D71%2B7%5C%5C3x%3D78%5C%5Cx%3D%5Cfrac%7B78%7D%7B3%7D%5C%5Cx%3D26)
Hence,
the value of x is 26
Answer: Deficit
Step-by-step explanation:
Weekly net income = $380
Monthly net income = $380 * 4 weeks = $1520.
Monthly expenses = $1550
Balance = Monthly income - monthly expenses = $-30.
The negative sign shows a deficit of $30 monthly
Answer:
(9,19)
Step-by-step explanation:
Hello!
To find the missing y-value, we can plug in 9 for x and simplify the expression.
<h3>Solve for the y-value</h3>
The missing y-value is 19.
Answer:
![\% = 11\%](https://tex.z-dn.net/?f=%5C%25%20%3D%2011%5C%25)
Step-by-step explanation:
Given
![Initial = \$13.50](https://tex.z-dn.net/?f=Initial%20%3D%20%5C%2413.50)
![Final = \$14.99](https://tex.z-dn.net/?f=Final%20%3D%20%5C%2414.99)
Required
Determine the percentage change
This is calculated as:
![\% = |\frac{Initial - Final}{Initial} * 100\%](https://tex.z-dn.net/?f=%5C%25%20%3D%20%7C%5Cfrac%7BInitial%20-%20Final%7D%7BInitial%7D%20%2A%20100%5C%25)
![\% = |\frac{13.50 - 14.99}{13.50}| * 100\%](https://tex.z-dn.net/?f=%5C%25%20%3D%20%7C%5Cfrac%7B13.50%20-%2014.99%7D%7B13.50%7D%7C%20%2A%20100%5C%25)
![\% = |\frac{-1.49}{13.50}| * 100\%](https://tex.z-dn.net/?f=%5C%25%20%3D%20%7C%5Cfrac%7B-1.49%7D%7B13.50%7D%7C%20%2A%20100%5C%25)
![\% = \frac{1.49}{13.50} * 100\%](https://tex.z-dn.net/?f=%5C%25%20%3D%20%5Cfrac%7B1.49%7D%7B13.50%7D%20%2A%20100%5C%25)
![\% = \frac{1.49* 100\%}{13.50}](https://tex.z-dn.net/?f=%5C%25%20%3D%20%5Cfrac%7B1.49%2A%20100%5C%25%7D%7B13.50%7D)
![\% = \frac{149\%}{13.50}](https://tex.z-dn.net/?f=%5C%25%20%3D%20%5Cfrac%7B149%5C%25%7D%7B13.50%7D)
![\% = 11.037037037\%](https://tex.z-dn.net/?f=%5C%25%20%3D%2011.037037037%5C%25)
![\% = 11\%](https://tex.z-dn.net/?f=%5C%25%20%3D%2011%5C%25)