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3 years ago

Please help me with this math problem.

Mathematics

2 answers:

Nina [5.8K]3 years ago

5 0

Answer:

x=25

Step-by-step explanation:

because of vertical angles theorem you set them equal to each other

4x+50=150

subtract 50 from both sides

4x=100

devide by 4 on both sides

x=25

miss Akunina [59]3 years ago

5 0

Answer:

x=25

Step-by-step explanation:

180 degrees is half a circle so you subtract 180 from 150 to get 30, that's for both the missing angles. Then you subtract 180 from 30 to get 150 and set 4x+50=150 then solve.

4x+50=150

4x=100

x=25

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dybincka [34]

Answer:

Step-by-step explanation:

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3 years ago

given sin A =3/-/34 and that angle S is in quadrant 1, find the exact value of tan A in simplest radical form using a ration

Vedmedyk [2.9K]

Answer:

$\tan(A) = \frac{3}{5}$

Step-by-step explanation:

Given

$\sin(A) = \frac{3}{\sqrt {34}}$

$0 \le A \le 90$ --- First Quadrant

Required

Find tan(A)

The sin of an angle is:

$\tan(A) = \frac{Opposite}{Hypotenuse}$

and

$\sin(A) = \frac{3}{\sqrt {34}}$

By comparison:

$Opposite = 3$

$Hypotenuse = \sqrt{34$

So, the Adjacent is:

$Hypotenuse^2 = Adjacent^2 + Opposite^2$

$(\sqrt{34})^2 = Adjacent^2 + 3^2$

$34 = Adjacent^2 + 9$

Collect like terms

$Adjacent^2 =34 - 9$

$Adjacent^2 =25$

Take square roots

$Adjacent =\sqrt{25$

$Adjacent =5$

The tangent of an angle is:

$\tan(A) = \frac{Opposite}{Adjacent}$

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$\tan(A) = \frac{3}{5}$

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Step-by-step explanation:

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Read 2 more answers

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