R:{-46, 52}. You cannot repeat any numbers and the order is from least to greatest.
Answer: Choice C
x/w and z/(y+v)
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Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
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Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.
Answer:
B
Step-by-step explanation:
One way to tell is to put both equations into slope-intercept form. That form is usually written
where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Solve the first equation for y.

The slope of this line is -3, and its y-intercept is 5/2.
Solve the second equation for y.

The slope of this line is -3 and its y-intercept is 2.
The lines are parallel because they have the same slope and <u>different</u> y-intercepts. There is no solution to the system.
There are 2 ways to turn a number into a percent...
(1) move the decimal 2 spaces to the right....0.3 = 30%
(2) multiply by 100....0.3 x 100 = 30%