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azamat
3 years ago
6

Please help me solve for W

Mathematics
2 answers:
mariarad [96]3 years ago
8 0
W+1/9 = 5
 W = 5-1/9
 = [(5*9)-1]/9
= [45-1]/9
= 44/9
OLga [1]3 years ago
7 0
w+\frac{1}{9}=5\\
w=5-\frac{1}{9}\\w=\frac{45}{9}-\frac{1}{9}\\
w=\frac{44}{9}

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Answer: Choice C

x/w and z/(y+v)

======================================================

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

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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

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sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)

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Side note: triangle ACD is not used at all.

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