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3 years ago

If the interior angle of a polygon is 170 how many sides does it have

Mathematics

1 answer:

Tpy6a [65]3 years ago

6 0

if interior angle is 170, subtract 170 from 180 to find exterior angle:

180-170 = 10 = exterior angle

the sum of exterior angles is 360 so divide by exterior angle to find sides:

360 /10 = 36 sides

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Verify the identity

Thepotemich [5.8K]

Given:

Given that we need to prove the identity $\sin x+\sin x \tan ^{2} x=\tan x \sec x$

Proof:

Step 1: Factor out the common term sin x, we get;

$\sin x\left(1+\tan ^{2} x\right)=tan \ x \ sec \ x$

Step 2: Using the identity $1+tan^2 x=sec^2x$

$\sin x \sec ^{2} x=tan \ x \ sec \ x$

Step 3: Reciprocating sec x, we get;

$\sin x \cdot \frac{1}{\cos ^{2} x}=tan \ x \ sec \ x$

Step 4: Splitting the denominator, we have;

$\frac{\sin x}{\cos x} \cdot \frac{1}{\cos x}=tan \ x \ sec \ x$

Simplifying, we get;

$\tan x \sec x=\tan x \sec x$

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3 years ago

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miv72 [106K]

Answer:

Step-by-step explanation:

Model the expressions

with bar models or algebra tiles to determine if the expressions are

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8 0

2 years ago

Read 2 more answers

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bixtya [17]

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3 years ago

Jeri is 3 years younger than Laura, whose age is x. How old is Jeri? x - 3 yrs old x + 3 yrs old 3x yrs old

laiz [17]

Answer:

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Step-by-step explanation:

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2 years ago

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Alenkasestr [34]

Answer:

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2 years ago