Answer:
<em>The expression for final cost of the DVD is 
</em>
Step-by-step explanation:
Jessica purchased a DVD that was on sale for 12% off.
If the original price of the DVD is 
, then the amount of discount on sale will be: 
So, the selling price of the DVD 
The sales tax in her county is 3%. So, the amount of sales tax on the selling price will be: 
Thus, the expression for final cost of the DVD is: 
x^2+6x+8 factored is (x+4)(x+2)
The angle relationship and their reasons are:
- m∠HED = m∠FEJ ---> Vertical angles theorem
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
- m∠LFG + m∠GFK = 180 ---> linear pair
The angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
- m∠HED = m∠FEJ ---> Vertical angles theorem
∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
- m∠LFG + m∠GFK = 180 ---> linear pair
Learn more about angle relationship on:
brainly.com/question/12591450
Solution set is: (
)
Option B is correct
Step-by-step explanation:
We need to find the solution to system of equations
Let:
Putting value of y from eq(2) into eq(1)
So, value of x=7
Putting value of x into equation 1 to find the value of y:
So, value of y = 
Solution set is: ()
Option B is correct
Keywords: System of equations
Learn more about system of equations at:
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Answer:
48.95 percent (rounded)
Step-by-step explanation:
