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Anna007 [38]
1 year ago
12

Find the value of each variable and the measure of each labeled angle.

Mathematics
2 answers:
labwork [276]1 year ago
7 0

Answer:

see explanation

Step-by-step explanation:

(8x - 75) and (5x) are vertically opposite angles and are congruent , then

8x - 75 = 5x ( subtract 5x from both sides )

3x - 75 = 0 ( add 75 to both sides )

3x = 75 ( divide both sides by 3 )

x = 25

Then

5x = 5(25) = 125°

8x - 75 = 8(25) - 75 = 200 - 75 = 125°

Sholpan [36]1 year ago
4 0

Answer: (5x)°=(8x-75)°=125°

Step-by-step explanation:

<em>Property of vertical angles: vertical angles are equal</em>

<em>Hence,</em>

<em></em>(8x-75)^0=(5x)^0\\(8x)^0-75^0=(5x)^0\\(8x)^0-75^0-(5x)^0=(5x)^0-(5x)^0\\(3x)^0-75^0=0\\(3x)^0-75^0+75^0=0+75^0\\(3x)^0=75^0\\

<em>Divide both parts of the equation by 3 :</em>

<em></em>x^0=25^0\\(5x)^0=(5*25)^0\\(5x)^0=125^0

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3 years ago
A door to a playhouse is 50 inches tall. Which of the following is another measure equal to the height?
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Answer:

4 ft 2 in.

Step-by-step explanation:

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we know that

1 in---------------> is 0.0833333 ft

so

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4.167 ft----------> [4 ft+0.167 ft]

remember that

1 in---------------> is 0.0833333 ft

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Step-by-step explanation:

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Answer:

The answer is cot(x)

Step-by-step explanation:

<h3>Greetings !</h3>

\tan(x)  \csc {}^{2} (x)  -  \tan(x)

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-  \tan(x)  +  \csc {}^{2} (x) \tan(x)

use the Pythagorean idea

\csc {}^{2} (x)  = 1 +  \cot {}^{2} (x)

-  \tan(x)  + (1 +  \cot {}^{2} (x)) \tan(x)

simplify

\cot {}^{2} (x)   \tan(x)

use basic trigonometric identity

\tan(x    )  =  \frac{1}{ \cot(x) }

simplify

\cot {}^{2} (x)  \frac{1}{ \cot(x) }

gives you

\cot(x)

Hope it helps!

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