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3 years ago

13

Find the value of x in the following figure.

1 answer:

steposvetlana [31]3 years ago

5 0

The sum of all exterior angles on a polygon = 360 degrees.

Therefore you can make this formula:

360 = 46 + (12x + 37) + (12x - 2 ) + (20x - 29)

Now let's solve for x.

360 = 46 + (12x + 37) + (12x - 2 ) + (20x - 29)
360 = 46 + 12x + 37 + 12x - 2 + 20x - 29
360 = 83 + 12x + 12x - 2 + 20x - 29
360 = 81 + 12x + 12x + 20x - 29
360 = 52 + 12x + 12x + 20x
360 = 52 + 24x + 20x
360 = 52 + 44x
308 = 44x
/44 /44
7 = x

Therefore, x is equal to 7. You can substitute this into each angle to find the actual measurement of each angle. You will notice that the finished angles will all add up to 360 degrees.

Hope it helped :P

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PLEEASSSSEEEE HHEEEEELLLLPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!! Circle R is shown. Line segments Q R and S R are radii. The length

Inessa [10]

Answer:

$144\pi\ un^2.$

Step-by-step explanation:

In the attached diagram, circle R is shown. Line segments QR and SR are radii and QR = SR = 18 units.

The measure of the central angle QRS is $\dfrac{8\pi}{9}$

1. Find the area of the whole circle:

$A_{circle}=\pi r^2=\pi \cdot 18^2=324\pi \ un^2.$

2. Note that the whole circle is determined by the full rotation angle with measure $2\pi$ radians. So,

$\begin{array}{cc}\text{Angle}&\text{Area}\\ \\2\pi &324\pi \\ \\\dfrac{8\pi }{9}&A_{sector}\end{array}$

So, write a proportion:

$\dfrac{2\pi}{\frac{8\pi}{9}}=\dfrac{324\pi}{A_{sector}}$

Cross multiply

$2\pi \cdot A_{sector}=324\pi \cdot \dfrac{8\pi }{9}\\ \\A_{sector}=162\pi \cdot \dfrac{8}{9}=144\pi\ un^2.$

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3 years ago

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Aneli [31]

5.22 is the answer......

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Which of the following trigonometric expressions is equivalent to csc(-112°)? csc(68°)

Romashka-Z-Leto [24]

Answer:

csc(-112°)=-csc(68°)

Step-by-step explanation:

Since cosec(x) and sin(x) are reciprocals of each other,

cosec(-112°)= $\frac{1}{sin(-112^{\circ})}$

= $\frac{1}{-sin(112^{\circ})}$

= $\frac{1}{-sin(180^{\circ}-68^{\circ})}$ (since 112=180-68)

= $\frac{1}{-sin(68^{\circ})}$ (since sin(180-x)=sinx)

= $\frac{-1}{sin(68^{\circ})}$ (since $\frac{a}{-b}= \frac{-a}{b}$ )

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3 years ago

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Gekata [30.6K]

Answer:

12. P(4) = 1/6

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Step-by-step explanation:

hope this helps, pls mark brainliest :D

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3 years ago

6 ÷ 1/3= what is the answer

Sav [38]

So it would be
6/2
=3 :)

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