A triangle is formed by the ordered pairs X(–5, 6), Y(7, 6), and Z(7, 2). If mX=18°, what is mZ?
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Answer:
27 and 32.
Step-by-step explanation:
Let the two numbers be A and B.
The larger number (let's use B) is 5 more than the smaller one (A). In other words:
Their sum is 59. So:
This is a system of equations. Solve by substituting the first equation into the second. Thus:
Combine like terms:
Subtract 5 from both sides:
Divide both sides by 2:
So, the smaller number is 27.
This means that the bigger number is 27+5=32.
So, the two numbers are 27 and 32.
And we're done!