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3 years ago

Please help... ABCD is a quadrilateral

Mathematics

1 answer:

IgorC [24]3 years ago

3 0

A ———————————————————

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KonstantinChe [14]

Answer:

x=81.25, A=65, B=94, C=21

Step-by-step explanation:

corresponding angles of similar triangles are equal, hence angle measurements of A, B, and C. To solve for x, set up a ratio (60/48=x/65) and solve

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4 years ago

The angle 0 lies in Quadrant II . <br>Cos 0 = <br><img src="https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20" id="TexF

mel-nik [20]

Answer:

$\tan(\theta)=\frac{-\sqrt{5}}{2}$

Step-by-step explanation:

Since we are in quadrant 2, sine is positive. Since sine is positive and cosine is negative, then tangent is negative.

Now I'm going to find the sine value of this angle given using one of the Pythagorean Identities, namely $\sin^2(\theta)+\cos^2(\theta)=1$ .

If given $\cos(\theta)=\frac{-2}{3}$ , then we have $\sin^2(\theta)+(\frac{-2}{3})^2=1$ by substitution of $\cos(\theta)=\frac{-2}{3}$ .

Let's solve:

$\sin^2(\theta)+(\frac{-2}{3})^2=1$ for $\sin(\theta)$ .

$\sin^2(\theta)+\frac{4}{9}=1$

Subtract 4/9 on both sides:

$\sin^2(\theta)=1-\frac{4}{9}$

Simplify:

$\sin^2(\theta)=\frac{5}{9}$

Square root both sides:

$\sin(\theta)=\sqrt{\frac{5}{9}}$

$\sin(\theta)=\frac{\sqrt{5}}{\sqrt{9}}$

$\sin(\theta)=\frac{\sqrt{5}}{3}$

===========

$\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)}=\frac{\frac{\sqrt{5}}{3}}{\frac{-2}{3}}$

Multiplying top and bottom by 3 gives:

$\tan(\theta)=\frac{\sqrt{5}}{-2}$

I'm going to move the factor of -1 to the top:

$\tan(\theta)=\frac{-\sqrt{5}}{2}$

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3 years ago

Find the percent decrease. Round to the nearest percent.

xenn [34]

Answer:

It should be -3.125%

Step-by-step explanation:

(124 - 128)/128 × 100

-4/128 × 100 = -3.125%

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3 years ago

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Answer:

139 dollars a month.

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3 years ago

You want to be able to withdraw $30,000 from your account each year for 15 years after you retire. If you expect to retire in 25

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2 years ago

Please help... ABCD is a quadrilateral​

Please help... ABCD is a quadrilateral