x + y = 114
x - y = 58
Add the equations downward:
2x + 0y = 172
2x = 172
x = 86
x + y = 114
86 + y = 114
y = 114 - 86
y = 28
Answer: The two numbers are 28 and 86.
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Answer: 20 miles
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
x^2 = a^2 + b^2
Where x is the hypotenuse of the triangle (in this case the distance between Dayton and Belleville) and a and b are the other sides.
Replacing with the values given:
x^2 = 16^2 + 12^2
x^2 = 256+144
x^2 = 400
x = √400
x = 20 miles
Feel free to ask for more if needed or if you did not understand something.
