All categories

3 years ago

What is the value of x and what type of angle is it ?

Mathematics

1 answer:

meriva3 years ago

6 0

Answer:

This is called a supplementary angle. x = 12°

And for extra credit:

y is a vertical angle to 60° and a supplementary angle to x so

y = 60°

Step-by-step explanation:

You might be interested in

Can someone show me how to factor this please?

Alex_Xolod [135]

Answer:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

Step-by-step explanation:

We want to solve the equation:

$2\sin ^2 \theta + 3\sin \theta + 1 = 0$

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

$\displaystyle 2u^2 + 3u + 1 = 0$

Factor:

$\displaystyle (2u+1)(u+1) = 0$

By the Zero Product Property:

$\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0$

Solve for each case:

$\displaystyle u = -\frac{1}{2} \text{ or } u = -1$

Back-substitute:

$\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1$

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

8 0

3 years ago

3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r

vova2212 [387]

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$ .

Slope-intercept form of equation is given as $y=-2 x-2$ .

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and

$y_{1}=2 \text {. }$

Also, the slope of the line is -2.

Hence, m=-2

Substitute the above values in point-slope form of equation given by $y-y_{1}=m\left(x-x_{1}\right)$

$\begin{aligned}&y-y_{1}=m\left(x-x_{1}\right) \\&y-2=-2(x-(-2) \\&y-2=-2(x+2)\end{aligned}$

Hence, point-slope form of equation given as y-2=-2(x+2).

Step 2 of 2

Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.

$\begin{aligned}&y-2=-2(x+2) \\&y-2=-2 x-4 \\&y=-2 x-4+2 \\&y=-2 x-2\end{aligned}$

Hence, slope-intercept form of equation is given as y=-2x-2.

7 0

2 years ago

What is the value of this expression when x=2 and y=-4? -3(x-y)2

Llana [10]

Answer:

-108

Step-by-step explanation:

$- 3 \times { (2 - ( - 4)) }^{2} = \\ - 3 \times ( {2 + 4})^{2} = \\ - 3 \times 36 = - 108$

4 0

2 years ago

Read 2 more answers

The length of a rectangle is 7 inches more than the width. The perimeter is 30 inches. Find the length and the width of the rect

saul85 [17]

Answer:

that's all about my answer

8 0

3 years ago

If a bottle rotates through 250 degrees in 50 min,how many degress will it rotate in 5 min

sp2606 [1]

There is more than one way to solve this.
250° : 50min.
You can divide each side by ten for 5 minutes.
50/10 = 5 minutes
250/10 = 25°

3 0

4 years ago