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Gennadij [26K]
3 years ago
9

two angles are vertical. one angles measures 10x - 6, and the other angles measured 8x + 12. find the measure of each angle .

Mathematics
1 answer:
guapka [62]3 years ago
6 0

Answer:

9

Step-by-step explanation:

10x-6 = 8x + 12

so

10x-8x = 12 + 6

so

2x = 18

so x = 18/2 = 9

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Please answer question
Dmitry_Shevchenko [17]

The value of the expression 2\cos(t) + \tan^2(t) is 4 and the exact value of \sin^{-1}(\sin(\frac{5\pi}{3})) is \frac{5\pi}{3}

<h3>How to determine the trigonometry expression?</h3>

The point on the unit circle is given as:

P = (\frac 12, \frac{\sqrt{3}}2)

A point on a unit circle is represented as: (x,y), such that:

cos(t) = x and sin(t) = y.

This means that:

\cos(t) = \frac 12

\sin(t) = \frac{\sqrt 3}{2}

Calculate tan(t) using:

\tan(t) = \frac{\sin(t)}{\cos(t)}

So, we have:

\tan(t) = \frac{\frac{\sqrt 3}{2}}{1/2}

Evaluate

\tan(t) = \sqrt 3

The expression is then calculated as:

2\cos(t) + \tan^2(t) = 2 * \frac12 + (\sqrt 3)^2

Evaluate each term

2\cos(t) + \tan^2(t) = 1 + 3

Evaluate the sum

2\cos(t) + \tan^2(t) = 4

Hence, the value of the expression 2\cos(t) + \tan^2(t) is 4

<h3>How to solve the arcsin expression?</h3>

The expression is given as:

\sin^{-1}(\sin(\frac{5\pi}{3}))

As a general rule, the arc sine of sine x is x.

This means that:

\sin^{-1}(\sin(\frac{5\pi}{3})) = \frac{5\pi}{3}

Hence, the exact value of \sin^{-1}(\sin(\frac{5\pi}{3})) is \frac{5\pi}{3}

Read more about trigonometry expressions at:

brainly.com/question/8120556

#SPJ1

6 0
2 years ago
Drag the values to order them from least to greatest, with the least at the top.
sergiy2304 [10]

Answer:

√143

4π

√79+√63

Step-by-step explanation:

√143 gives 11.958

4π = 4 times 22/7 = 12.57

√79+√63 gives 16.825

In ascending order, i.e from the least to the greatest, we have

11.958

12.57

16.825

Which is same as

√143

4π

√79+√63

3 0
4 years ago
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