3 years ago

Find the value of each variable.

Mathematics

1 answer:

UNO [17]3 years ago

3 0

Answer:

x = 3

y = 6

Step-by-step explanation:

Apply the angle bisector theorem to find both variables.

Based on the theorem, we would have the following:

✔️x/2 = 6/4

Cross multiply

x*4 = 6*2

4x = 12

4x/4 = 12/4

x = 3

✔️9/y = 3/(8 - y)

Cross multiply

9(8 - y) = 3*y

72 - 9y = 3y

72 = 3y + 9y

72 = 12y

72/12 = 12y/12

6 = y

y = 6

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3 years ago

I really don’t understand this and just need an explanation of how to do it.

sertanlavr [38]

$\bf ~\hspace{12em}\left( \cfrac{2n}{-3n\cdot -2n^2} \right)^4
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\cfrac{2n}{-3n\cdot -2n^2}\implies \cfrac{1}{-3n}\cdot \cfrac{2n}{-2n^2}\implies \cfrac{1}{-3n}\cdot \cfrac{2n}{2n\cdot -n}\implies \cfrac{1}{-3n}\cdot \cfrac{2n}{2n}\cdot \cfrac{1}{-n}$

$\bf \cfrac{1}{-3n}\cdot \boxed{1}\cdot \cfrac{1}{-n}\implies \cfrac{1}{-3n\cdot -n}\implies \cfrac{1}{3n^2}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\left( \cfrac{2n}{-3n\cdot -2n^2} \right)^4\implies \left( \cfrac{1}{3n^2} \right)^4\implies \stackrel{\textit{distributing the exponent}}{\cfrac{1^4}{3^4n^{2\cdot 4}}}\implies \cfrac{1}{81n^8}$