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2 years ago

What is the value of x? Show your work in arriving at your answer.

Mathematics

1 answer:

Trava [24]2 years ago

5 0

Answer: x = 18

Step-by-step explanation:

First, since both angles shown are equal to each other, you can immediately set your equation.

5x + 5 = 95

Next, move 5 to the opposite side of the equation to isolate your x value (5x). This step is simply subtracting the hanging 5.

5x + 5 (-5) = 95 (-5)

5x = 90

Finally, you need to divide both sides of the equation by 5 (the 5 next to the x) to *fully* isolate the x value.

5x / 5 = 90 / 5

x = 18

final answer: x = 18

Hopefully this helps with the remainder of your lesson! :)

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Step-by-step explanation:

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3 years ago

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last year 950 people attended atown's annual parade. this year 1,520 people attended. what was the percent incrase in attendance

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2 years ago

Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

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⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

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3 years ago

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Goryan [66]

Answer: 8/50

Step-by-step explanation:

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3 years ago