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TiliK225 [7]
3 years ago
10

Work out the angle of x please answer ASAP!!

Mathematics
1 answer:
geniusboy [140]3 years ago
6 0

Given:

The figure of a pentagon.

To find:

The value of the x.

Solution:

We know that, the sum of all interior angles of a pentagon is 540 degrees. So,

(5x-25)+(6x+25)+(6x-3)+(9x)+(7x+15)=540

(5x+6x+6x+9x+7x)+(-25+25-3+15)=540

33x+12=540

Subtract both sides by 12.

33x+12-12=540-12

33x=528

Divide both sides by 33.

x=\dfrac{528}{33}

x=16

Therefore, the value of the x is 16.

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A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 18° with the horizontal. The flagpole
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Answer:

height = 9.28m

Step-by-step explanation:

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To find the third angle, we have

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180° = 133° + α

α = 180° - 133°

α = 47°

To find the height use sine rule

h/sin47° = 12/sin 71°

h(sin71°) = 12sin47°

h = 12sin47° / sin71°

h = 12(0.7314) / 0.9455

h = 8.7768/0.9455

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Answer:

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Step-by-step explanation:

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Only one answer choice has this form:

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7 0
3 years ago
One of the best ways to prevent workplace violence is to recognize the warning signs.
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Answer:

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Step-by-step explanation:

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