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nevsk [136]
3 years ago
12

Find the value of each variable

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

It's clear in this picture that this is an isosceles triangle

So the angles are 29 , 29 , (11x-65)

11x - 65 = 180 - (2 \times 29) \\  \\ 11x - 65 = 180 - 58 \\ 11x  - 65= 122

<h3>The angles are 29 , 122 , 29</h3>

Hope this will help...

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Find the complete factored form of the<br> polynomial:<br> -24a^4 – 20a^3
Citrus2011 [14]

Answer:

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Step-by-step explanation:

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4 years ago
A company that makes barber scissors has found that the sales volume for barber scissors is directly proportional to the size of
Mice21 [21]

Answer:

20,000 pairs of barber scissors.

Step-by-step explanation:

The sales volume <em>V</em> for barber scissors is directly proportional to the size <em>S</em> of the sales force and inversely proportional to the price <em>P</em> of the scissors.

In other words, we can write that:

\displaystyle V = \frac{kS}{P}

Where <em>k</em> is the constant of proportionality.

19,440 pairs were sold in 2013, when there was 54 salespeople and the price was $20 a pair. Hence, <em>V</em> = 19440 when <em>S</em> = 54 and <em>P</em> = 20. Substitute and determine the value of <em>k: </em>

\displaystyle \begin{aligned} (19440) &= \frac{k(54)}{(20)} \\ \\ 19440 &= \frac{27}{10}k \\ \\ k &=\frac{10}{27}(19440) = 7200  \end{aligned}

Hence, our equation is:

\displaystyle V = \frac{7200S}{P}

We want to determine the sales forecast with 50 salespeople and a price of $18 a pair. Hence, <em>S</em> = 50 and <em>P</em> = 18:

\displaystyle \begin{aligned} V&= \frac{7200(50)}{(18)} \\ \\ &= 20000\end{aligned}

In conclusion, 20,000 pairs of barber scissors can be expected to be sold.

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3 years ago
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Which of the following are alternate interior angles? Select all that apply.
goblinko [34]

Option C:  ∠2 and ∠8

Option E: ∠3 and ∠5

Solution:

Two parallel lines cut by a transversal.

Option A: ∠5 and ∠4

∠4 is not interior of parallel lines.

Hence it is not true.

Option B: ∠6 and ∠5

∠6 is not interior of parallel lines.

Hence it is not true.

Option C: ∠2 and ∠8

∠2 and ∠8 lies in the interior of the parallel lines.

∠2 and ∠8 lies in alternate of the transversal line.

Therefore, ∠2 and ∠8 are alternate interior angles.

Hence it is true.

Option D: ∠8 and ∠1

∠1 is not interior of parallel lines.

Hence it is not true.

Option E: ∠3 and ∠5

∠3 and ∠5 lies in the interior of the parallel lines.

∠3 and ∠5 lies in alternate of the transversal line.

Therefore, ∠3 and ∠5 are alternate interior angles.

Hence it is true.

Therefore ∠2 and ∠8, ∠3 and ∠5 are alternate interior angles.

6 0
3 years ago
Solve log 3/2+log8/10-log3o​
Ronch [10]

Answer:

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Step-by-step explanation:

if \: this \: is \: your \: question \to \\  \:  \frac{3}{2} +log \: ( \frac{8}{10}) -log \: 30 \\ then  \: to \: simplify \: we \: \to \\  \frac{3}{2}  +  log(  \frac{ \frac{8}{10} }{30} )  =  \\  \\  \frac{3}{2}  +  log( \frac{8}{300} )  \\  .......................................................\\ now \: lets \: solve \: for \to \: log( \frac{8}{300} )  \\ ....................................................... \\ log( \frac{8}{300} )  \to \\ −1.574031268 \\ so \\  1.5−1.574031268\\   \boxed{ans = −0.074031268}\\

8 0
3 years ago
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