Answer: The apple costs 0.45
Step-by-step explanation: Oranges will be x in our equations and Apples will be y.
Anna's equation is: 3x + 6y = 4.5 (1)
Maria's equation is: 2x + 2y = 2.1 (2)
As we need to find y, we need to cancel x, this way, we multiply equation (1) by 2 and equation (2) by 3.
3x + 6y = 4.5 (x2)
2x + 2y = 2.1 (x3)
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6x + 12y = 9
6x + 6y = 6.3
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Now, we subtract them
6x + 12y = 9
-6x - 6y = -6.3
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6y = 2.7 → y = 2.7/6 → y = 0.45
All but the first statement are true.
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In the equation y=kx, "slope" is the coefficient of x, thus y=-3x.
Recall the double/half angle formulas:


We're given
, and since
is between π/2 and π, we expect
to be negative. So from the Pythagorean identity, we find

Also, we know
will fall between π/4 and π/2, so both
and
will be positive. Then we find


and it follows that

C. 145°
Explanation:
angles A and D are opposite adjacent.