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Montano1993 [528]
4 years ago
15

Need helps ASAP I have a terrible headache

Mathematics
1 answer:
bagirrra123 [75]4 years ago
4 0

Answer:

Step-by-step explanation:

It says with a perpendicular to b and c that means that they are parallel and if they are both cut and perpenducular then they are both parallel.

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Answer:

Part 3)

x=6\ units

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Part 4) x=18\sqrt{2}\ units

Step-by-step explanation:

Part 3)

<em>step 1</em>

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

so

cos(30\°)=\frac{3\sqrt{3}}{x}

and remember that

cos(30\°)=\frac{\sqrt{3}}{2}

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Simplify

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<em>step 2</em>

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

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sin(30\°)=\frac{y}{x}

and remember that

sin(30\°)=\frac{1}{2}

substitute

\frac{1}{2}=\frac{y}{6}

y=6/2=3\ units

Part 4) Find the value of x

Applying the Pythagoras Theorem

x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units

Simplify

x=18\sqrt{2}\ units

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Step-by-step explanation:

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