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2 years ago

Find the value of x.

Mathematics

1 answer:

hichkok12 [17]2 years ago

8 0

<h3>Angles sum up to:</h3><h3>( n - 2 ) × 180 = ( 5 - 2 ) × 180 = 3 × 180 = 540</h3>

$x + 4x + 4x + 135 + 135 = 540$

$9x + 270 = 540$

$9x = 540 - 270 \\ 9x = 270$

$x = \frac{270}{9} = 30$

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How do you find a missing side of a triangle using SOH CAH TOA

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Answer:

See explanation and attachment

Step-by-step explanation:

SOH CAH TOA is a mnemonic.

SOH means $\sin \theta=\frac{Opposite}{Hypotenuse}$

CAH means $\cos \theta =\frac{Opposite}{Hypotenuse}$

TOA means $\tan \theta=\frac{Opposite}{Adjacent}$

Given an angle and a side of a right angle triangle, you can use the appropriate ratio to find the missing side.

For instance, find x in the diagram in the attachment.

In this case the best ratio to use is TOA.

$\tan 60\degree=\frac{\sqrt{3} }{x}$

$\implies x=\frac{\sqrt{3} }{\tan 60}$

$x=\frac{\sqrt{3} }{\sqrt{3} } =1$

All the other ratio also follow the same pattern

NB: Your calculator in degree should give $\tan 60\degree=\sqrt{3}$

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3 years ago

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Answer is C. This is because in quadrant 2, $\sin\theta>0$ so $\csc\theta>0$ is also true.

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3 years ago

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