The vertical lines are absolute values, the number in between them, if negative turns positive.
Answer:
The third one (0,0) (0,1) (1,2) (1,3)
Step-by-step explanation:
X can't repeat, and it repeats twice.
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Step-by-step explanation:
a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.
b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:

Answer:
7 games
Step-by-step explanation:
<u>First Person:</u>
Fixed Cost of 99.26
Variable Cost of 4.50 per game (program cost)
<u>Second Person:</u>
No Fixed Cost
Variable cost of 18.68 per game (ticket cost)
Now, we let the number of games be "x", so we can write 2 equations for each person. Then we equate and find at what number of games, the amount paid by both person would be same. Shown below:
<u>First Person Equation:</u>
99.26 + 4.50x
<u>Second Person Equation:</u>
18.68x
Now, equate and solve for x:
99.26 + 4.50x = 18.68x
99.26 = 18.68x - 4.50x
99.26 = 14.18x
x = 99.26/14.18
x = 7
So, the answer is 7 games