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BaLLatris [955]
3 years ago
6

Please help me with this geometry problem

Mathematics
1 answer:
FromTheMoon [43]3 years ago
6 0

Hello from MrBillDoesMath!

Answer:

Choice A

Discussion:

As the lines are parallel, corresponding angles are equal. This means that

angle x  (just to the left of the letter a)  and its corresponding angle ( just above line b -- above the the "2x" value shown) are equal..

In other words,

x = 180 -2x    

as there is 180 degrees in a straight line.

Add 2x to both sides of the equation:

x + 2x = 180 - 2x + 2x =>

3x = 180 =>

x = 60


Regards,  

MrB


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Suppose Ken has 25 coins and nickels and dimes only and has a total of a $1.65 how many of each coin does he have?
nikklg [1K]
x-\ number\ of\ nickels\\
y-\ number\ of\ dimes\\\\
x+y=25 \ \ \ | x=25-y\\
0.05x+0.1y=1.65\\\\
0.05(25-y)+0.1y=1.65\\\\
1.25-0.05y+0.1y=1.65\\\\
1.25+0.05y=1.65\ \ \ | subtract\ 1.25\\\\
0.05y=0.4\ \ \ \ \ | divide\ by\ 0.05\\\\
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