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Pie
3 years ago
7

Question 1-6

Mathematics
2 answers:
adelina 88 [10]2 years ago
5 0

Here usually people want the answer first.

<u>Answer- 431.59</u>

<u />

<em>Math- 422-104.86(auto repairs)=317.59 </em>

<em>317.59-210.00(rent)=107.59</em>

<em>107.59+324.00(dads money he gives)=431.59</em>

Mumz [18]3 years ago
3 0

i mean ig but 129.... ehh

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Note that
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Note that
x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }

Use the identity
tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

Therefore
tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} =  \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )}  = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}

Answer: 2 + √3
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The angle congruent to ∠6 are ∠8, ∠3, ∠9 and ∠14

<h3>How to find congruent angles?</h3>

When parallel lines are cut by a transversal, angle relationships are formed. They include corresponding , alternate and many more.

L║m

n ║ q

Therefore, the angles congruent to ∠6 by alternate or corresponding relationship are as follows:

∠6≅∠8≅∠3≅∠9≅∠14

learn more on angles here: brainly.com/question/15443897

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