Marty has $56 to spend. He buys movie tickets for $14.99 and a shirt for $12.95. Marty buys books with the remaining money. How
2 answers:
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Answer:
The correct option is D.
Step-by-step explanation:
The given equation is
According to the addition property of equality and
are equivalent equations.
Use addition property of equality, add 3x on both the sides.
Therefore Sam's work is incorrect because he make calculation mistake.
According to the subtraction property of equality and
are equivalent equations.
Use subtraction property of equality, subtract 5x from both the sides.
Therefore Roy's work is correct because he used subtraction property.
Option D is correct.
The exact measure of the angle is 45°.
<h3>How to get the angle?</h3>
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read: