Supplementary angles add to 180 degrees. If A and B are both supplementary to C, the two angles must be congruent since A=B=180-C.
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Answers: x = 4 and y = 3
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Explanation:
Triangle UBD is congruent to triangle RAN
Note the order of the lettering as it's important.
BD and AN are the last two letters of UBD and RAN in that order. Therefore, these sides correspond and BD = AN. From that, we know,
BD = AN
2y+5 = 3y+2
5-2 = 3y-2y
3 = 1y
y = 3
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Using similar logic, UD and RN are the first and last letters of UBD and RAN respectively. So,
UD = RN
15 = 2x+7
2x+7 = 15
2x = 15-7
2x = 8
x = 8/2
x = 4
1/5 of $60 is $12.
Therefore, 2/5 of $60 is $24.
If the price of tickets increased by 2/5 during the World Series, then during the World Series a ticket would've cost $60+$24=$84.
A) x/y = 2/3
B) x + y = 105
Solving Equation A for y
A) y = 1.5x
Substituting A into B
B) x + 1.5x = 105
2.5x = 105
x = 42
y = 63
