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3 years ago

Ray BD bisects ∠ABC so that m∠DBC = (x + 7) and m∠ABD = (2x − 11). What is x? A. 6 B. 18 C. 29 D. 54

Mathematics

1 answer:

nata0808 [166]3 years ago

6 0

Answer:

Step-by-step explanation:

Here, we want to the find the value of the x.

By bisecting the angle, the ray in question divides it into two other angles which are equal.

We proceed as follows;

x + 7 = 2x -11

Collect like

terms

2x -x = 7 + 11

x = 18

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Simplify sin Θ/√1-sin^2 Θ

dedylja [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2862279

_______________

Simplify the trigonometric expression.

Call the expression E:

$\mathsf{E=\dfrac{sin\,\theta}{\sqrt{1-sin^2\,\theta}}\qquad\qquad(but~~1-sin^2\,\theta=cos^2\,\theta)}\\\\\\
\mathsf{E=\dfrac{sin\,\theta}{\sqrt{cos^2\,\theta}}}\\\\\\
\mathsf{E=\dfrac{sin\,\theta}{\left|cos\,\theta\right|}}}$

$\mathsf{E}=\left\{\!\begin{array}{rl}\mathsf{\dfrac{sin\,\theta}{cos\,\theta}\,,}&\mathsf{\quad if~~cos\,\theta>0}\\\\\mathsf{\dfrac{sin\,\theta}{-\,cos\,\theta}\,,}&\mathsf{\quad if~~cos\,\theta$

So basically E is equivalent to $\pm\,\mathsf{tan\,\theta},$ where the sign depends on which quadrant $\theta$ lies. Shortly,

$\mathsf{\dfrac{sin\,\theta}{\sqrt{1-sin^2\,\theta}}}=\left\{\!
\begin{array}{rl}
\mathsf{tan\,\theta,}&\mathsf{\quad if~\theta~lies~either~in~the~1^{st}~or~the~4^{th}~quadrant}\\\\
\mathsf{-\,tan\,\theta,}&\mathsf{\quad if~\theta~lies~either~in~the~2^{nd}~or~the~3^{rd}~quadrant}
\end{array}$

I hope this helps. =)

Tags: <em>simplify trigonometric trig expression sine cosine tangent sin cos tan absolute value modulus trigonometry</em>

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3 years ago

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2,036,017 expanded form exponents

liq [111]

2 × $10^{6}$
+ 0 × $10^{5}$
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How to solve 1/4 - -4/3 - -1 2/9

Ahat [919]

Answer:

2 29/36

Step-by-step explanation:

So circle the two signs., so the problem is now this:

1/4+4/3+1 2/9

Then you find the GCM, or Greatest Common Denominator.

It is 36. Then, you re-write the new answers

9/36+ 48/36+ 1 18/36

Now we have this:

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3 years ago

The function y=-16t^2 +36 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how

NikAS [45]

Answer:

1.5 seconds

Step-by-step explanation:

plug 0 in for y

0=-16t^2+36

then slove for t

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9/4=t^2

square root of 9/4 is 3/2 or 1.5

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2 years ago

Triangle ABC is a scale copy of triangle DEF. Side AB measures 12 CM and is the longest side of ABC. Side de measures 8 cm and i

Bezzdna [24]

Answer:

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Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/3943753-triangle-abc-is-a-scaled-copy-of-triangle-def-side-ab-measures.html

Step-by-step explanation:

<h2>HOPE THIS ANSWER WILL HELP YOU</h2>

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