Answer:
The answer is: 
Step-by-step explanation:
angles 1 and 5 are equal to each other since 
so 
The <em>correct answer</em> is:
He paid the correct amount.
Explanation:
First we find the subtotal of Manny's items:
32.65+3(14.89)+39.99 = 32.65+44.67+39.99 = 117.31
Next, we calculate the discount. If he gets 10% off, this means he pays 100%-10% = 90% of the total. 90% = 90/100 = 0.9:
0.9(117.31) = 105.579
Next we calculate the tax. Since tax is 8%, this means he pays 100% of his subtotal after discount plus the 8% tax; 100%+8% = 108%; 108% = 108/100 = 1.08:
1.08(105.579) = 114.02532 ≈ 114.03
Since this is what he paid, he paid the correct amount.
Answer:
3
Step-by-step explanation:
Answer:
a) (x, y) = (1, 7)
Step-by-step explanation:
Let be the following system of inequalties:


We can find the right option by evaluating each option in the system of inequalities:
a) (x, y) = (1, 7)


Then,
(TRUE)
(FALSE)
(1, 7) is not a solution of the system of inequalities.
b) (x, y) = (1, -7)


Then,
(TRUE)
(TRUE)
(1, -7) is a solution of the system of inequalities.
c) (x, y) = (1, -5)


Then,
(TRUE)
(TRUE)
(1, -5) is a solution of the system of inequalities.
d) (x, y) = (-1, 6)


Then,
(TRUE)
(TRUE)
(-1, 6) is a solution of the system of inequalties.
Therefore, we conclude that correct answer is A.
True, if you see the picture of a triangle with altitudes, the lines are drawn on the inside. Hope that helps!)