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3 years ago

Which of the following could be an interior angle measure of a regular polygon? A. 45º B. 72º C. 150º D. 173º

Mathematics

2 answers:

Natasha2012 [34]3 years ago

6 0

take 360 and divide by the number of sides

regular means the sides are equal therefore the angles are equal

360 /4 =90

360 /5 =72

Ray Of Light [21]3 years ago

4 0

Hello,

Question-Which of the following could be an interior angle measure of a regular polygon? A. 45º B. 72º C. 150º D. 173º

Answer- Your correct answer is B

Work- All you do is divide 2 sides 4 and 5 by 360 and 4 divided by 360 equals 90 but 5 equals 72

Important- If my answer did help please mark me as brainliest thank you and have a great day!

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If sin ⁡x=725, and 0 ∠ x ∠ pi/2, what is the tan (x - pi/4)

krok68 [10]

$Tan(x-\frac{\pi }{4}) = \frac{-17}{31}$

Step-by-step explanation:

Here we have , sin ⁡x=7/25( given sin x = 725 which is not possible ) , $0$ . Let's find tan (x - pi/4):

⇒ $Tanx = \frac{sinx}{cosx}$

⇒ $Tanx = \frac{sinx}{\sqrt{1-(sinx)^{2}}}$

⇒ $Tanx = \frac{\frac{7}{25}}{\sqrt{1-(\frac{7}{25})^{2}}}$

⇒ $Tanx = {\frac{7}{25}}{\sqrt{(\frac{625}{625-49})^{}}}$

⇒ $Tanx = {\frac{7}{25}}(\frac{25}{24} )$

⇒ $Tanx = {\frac{7}{24}}$

Now , $Tan(x-\frac{\pi }{4}) = \frac{Tanx - Tan(\frac{\pi }{4} )}{1+ Tanx(Tan(\frac{\pi }{4} )}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{Tanx -1}{1+ Tanx(1)}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7}{24} -1}{1+\frac{7}{24} }$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7-24}{24} }{\frac{7+24}{24} }$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{-17}{24} (\frac{24}{31} )$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{-17}{31}$

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3 years ago

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vlada-n [284]

Answer:

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Step-by-step explanation:

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