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creativ13 [48]
3 years ago
5

I need to find x answer choices are a.7.83 b.13.59 c.6.33 d.6.99

Mathematics
1 answer:
Hoochie [10]3 years ago
4 0

Answer:

d. 6.99

Step-by-step explanation:

You have a right triangle with the right angle marked.

The hypotenuse is opposite the right angle and has no length given.

For the 25-deg angle, the side with length 15 is the adjacent leg, and the side with length x is the opposite leg.

The trigonometry ratio that relates the opposite leg to the adjacent leg is the tangent ratio.

\tan A = \dfrac{opp}{adj}

\tan 25^\circ = \dfrac{x}{15}

Solve for x by multiplying both sides by 15.

15 \tan 25^\circ = x

x = 15 \tan 25^\circ

Use a calculator to find the value of x.

x = 6.99

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Simplify:

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Reorder the terms:

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(5 * 5 + a * 5) + -3 = 3(2 + -1a)

(25 + 5a) + -3 = 3(2 + -1a)

Reorder the terms again:

25 + -3 + 5a = 3(2 + -1a)

Combine like terms:

]25 + -3 = 22

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22 + 5a = (2 * 3 + -1a * 3)

22 + 5a = (6 + -3a)

Solve:

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To solve for variable 'a':

You have to move all terms containing A to the left, all other terms to the right.

Then add '3a' to each side of the equation:

22 + 5a + 3a = 6 + -3a + 3a

Combine like terms:

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Combine like terms again:

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Add '-22' to each side of the equation.:

22 + -22 + 8a = 6 + -22

Combine like terms:

22 + -22 = 0

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Combine like terms once more:

6 + -22 = -16

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Divide each side by '8'.

a = -2

Simplify:

a = -2

Answer: a=-2

Hope I could help! :)

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