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Hatshy [7]
3 years ago
6

If l, m, and n are parallel, solve for x

Mathematics
1 answer:
vaieri [72.5K]3 years ago
6 0

Answer:

The picture is non-existent.

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Can anybody show me how to do this half angle identity problem STEP BY STEP? I always seem to be missing something
klio [65]

Answer:   \bold{-\dfrac{7\sqrt2}{10}}

<u>Step-by-step explanation:</u>

It is given that θ is between 270° and 360°, which means that θ is located in Quadrant IV ⇒ (x > 0, y < 0).  Furthermore, the half-angle will be between 135° and 180°, which means the half-angle is in Quadrant II ⇒ cos\ \dfrac{\theta}{2}

It is given that sin θ = -\dfrac{7}{25}  ⇒  y = -7 & hyp = 25

Use Pythagorean Theorem to find "x":

x² + y² = hyp²

x² + (-7)² = 25²

x² + 49 = 625

x²         = 576

      x   =  24    

Use the "x" and "hyp" values to find cos θ:

cos\ \theta=\dfrac{x}{hyp}=\dfrac{24}{25}    


Lastly, input cos θ into the half angle formula:

cos\bigg(\dfrac{\theta}{2}\bigg)=\pm \sqrt{\dfrac{1+cos\ \theta}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{1+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{25}{25}+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{49}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{49}{50}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\.\qquad \quad =\pm \dfrac{7\sqrt2}{10}

Reminder: We previously determined that the half-angle will be negative.

6 0
3 years ago
Can u guys please explain what the answer is ​
iVinArrow [24]
You can literally determine the sisters height by adding 4 + 3 because it says she’s 3 years older I’m not saying that she equation because the equation needs to include x so 4 + 3 = x
8 0
4 years ago
Read 2 more answers
1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represent
erastovalidia [21]
Minutes - 15/4
or
Seconds - 15/240
3 0
3 years ago
How do you write this polynomial in standard form?
Butoxors [25]

Answer:

You can also work on the ways that you write polynomials. One way to write a polynomial is in standard form. In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to right.

Step-by-step explanation:

Write the expression 3x−8+4x5 in standard form.

First, look at the degrees for each term in the expression.

3x has a degree of 1

8 has a degree of 0

4x5 has a degree of 5

Next, write this trinomial in order by degree, highest to lowest

4x5+3x−8

The answer is 4x5+3x−8.

The degree of a polynomial is the same as the degree of the highest term, so this expression is called a fifth degree trinomial.

4 0
3 years ago
Read 2 more answers
What is the x-intercept of the line 10x-5y=40
jasenka [17]

Answer:

4

Step-by-step explanation:

The x-intercept occurs when y=0, if you think about it graphically.  Plug y=o into your equation:

10x - 5(0) = 40

10x = 40 (divide each side by 10)

x=4

8 0
3 years ago
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