I don't know the last point, but I'm going to assume it's N.
MN = 12 and KN = 8.
That would make this a rectangle.
All angles add up to 360.
146° + (-39 +x)° = 180°
Subtract 146° on both sides.
(-39 +x)° = 180° - 146°
(-39 +x)° = 34°
(x - 39)° = 34°
Add 39° on both sides
x = 34° + 39°
x = 73°
Your final answer is C) 73.
Fractions they are easy REALLY!!
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.
C - no solution
you take the second solution and times the entire equation by -1
then simply
and you get 0x + 0y = 20
