-11x - 72 = 84 + x
And I also need to do the check part

Answer: m∠MON = 57°

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 and 4 are adjacent supplementary angles. This will mean that 180-68=112

<4=112 degrees

<3 is the same as 1 which is 68 since they are vertical angles.

<2 is also 112

Answer:

2=112

3= 68

4= 112

Step-by-step explanation:

Each line adds to 180

So subtract 68  and it will give you the opposite side(2)  112

the angle across from it has tha same value so 2 and 4 are the same mesure

Answer:

[tex]\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]

Step-by-step explanation:

we want to solve the following trigonometric equation:

[tex] \displaystyle - 2 { \sin}^{2} (\theta )+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]

The first step of solving trigonometric equation is to rewrite the equation in terms of one trigonometric function . With Pythagorean theorem, we know that sin²x=1-cos²x . It will be helpful to rewrite the equation in terms of one trig functions. Therefore, substitute 1-cos²[tex]\theta[/tex] in the place of sin²[tex]\theta[/tex]:

[tex] \displaystyle - 2 (1 - \cos ^{2} ) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]

simplify:

[tex] \displaystyle\implies - 2 (1 - \cos ^{2} (\theta) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies- 2 + \cos ^{2} (\theta)+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies\cos ^{2} (\theta)+ \cos( \theta) -1 = 0 [/tex]

Consider cos² [tex]\theta\implies[/tex] x. Thus,

[tex]2 {x}^{2} + x - 1 = 0[/tex]

solving the quadratic equation yields:

[tex]{x}^{} = \frac{1}{2} \\ x = - 1[/tex]

back-substitute:

[tex] \begin{cases} \cos( \theta) = \dfrac{1}{2} \\ \cos( \theta) = - 1 \end{cases} \theta \in[0,2\pi)[/tex]

take inverse trig in both sides

[tex] \implies \begin{cases} \theta = \dfrac{\pi}{3} + 2n\pi\\\theta= \frac{5\pi}{3} + 2n\pi \\ \theta = \pi + 2n\pi\end{cases} \theta \in[0,2\pi) \\\\\implies\theta= \frac{\pi}{3}+\dfrac{2n\pi}{3},\theta\in [0,2\pi)\\\text{when n=0}\\ \implies \theta = \frac{\pi}{3} \\ \text{when n=1}\\ \theta= \pi\\ \text{when n=2}\\\theta=\frac{5\pi}{ 3} [/tex]

In conclusion,

[tex]\displaystyle\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]

Answer: Median is 5

Mean is 7.5

Step-by-step explanation: Median: arrange from smallest to largest and chose the middle number

Mean is the average. Add all the numbers and divide by 8

Answer:

Step-by-step explanation:

distance = rate [tex]*[/tex] time

1 (mile) = rate [tex]*[/tex] 0.5 (hours)

[tex]1/0.5 =[/tex] rate

rate = 2 mph...

That however is not answer choice. I'm guessing the number in front of the mile didn't copy over. You can use the same method I did, but just plugging in the actual number instead of 1.

Answer:

See below ~

Step-by-step explanation:

Solving for x in ΔLMN

Angles in ΔLMN

Solving for y in ΔSTU

Angles in ΔSTU

⇒ Their angles are equal (in ΔLMN and ΔSTU)

⇒ ΔLMN and ΔSTU are similar

the third square (8 + 7). all other squares equal 14, but that one equals 15

Answer:

n = 6

Rule: Times 3

Step-by-step explanation:

Answer:

1.D

2.B

3.F

4.E

5.A

6.C

Answer:

Scale factor = 4

If you multiply by 4 the two sides of ABCD, you will get the corresponding sides of A’B’C’D’

[tex]\text{slope} = \dfrac{6-(-2)}{4-3} = \dfrac{6+2}1 = 8[/tex]

Due to the higher value of the mean absolute deviation, her scores were most spread out in creative writing.

In this problem, creative writing has the highest mean absolute deviation, hence, it is the elective in which her scores were most spread out.

More can be learned about the mean absolute deviation at https://brainly.com/question/3250070

Answer:

765

Step-by-step explanation:

each time it is adding 115 to the number before it.

650+115=765

Answer: 8

I hope this helps! :)

Answer:

A, 3/7.

Step-by-step explanation:

There are 7 shapes overall shown. Since there are 3 triangles, we need to do 3/7.

Answer: 3/7

Step-by-step explanation:

Number of triangles / total number of shapes

Answer:

[tex]v = \pi \: {r}^{2} \: h \\ but \: v \: = 1573\pi \\ h = \frac{v}{ {r}^{2} } \\ h = \frac{1573}{121} \\ h = 13 \: units[/tex]

I hope it's helpful

Answer:

24

Step-by-step explanation:

The height of the rectangular prism is 4 units. Each layer is 6 units so 6 x 4 = 24.

Answer:

No answer

the answer is 6.5

Step-by-step explanation:

[tex](x - 4)2 = 5 \\ 2x - 8 = 5 \\ 2x = 13 \\ x = \frac{13}{2} = 6.5[/tex]

Answer:

-7, -5, -3, -1

Step-by-step explanation:

Let x be the smallest of the four consecutive odd integers. Then the next three consecutive odd integers are x+2, x+4, and x+6. We have:

[tex]3(x + x + 6) = 4(x + 4) - 12[/tex]

[tex]3(2x + 6) = 4(x + 4) - 12[/tex]

[tex]6x + 18 = 4x + 16 - 12[/tex]

[tex]6x + 18 = 4x + 4[/tex]

[tex]2x = - 14[/tex]

[tex]x = - 7[/tex]

So the four consecutive odd integers are -7, -5, -3, and -1.

Answer:

P(Boston Red Sox) = 2/5

Step-by-step explanation:

The probability that the favorite team of a randomly selected baseball fan is the Boston Red Sox can be found by dividing the number of Boston Red Sox fans by the total number of fans.

It's given that there are 12 Boston Red Sox fans and 18 other fans. Therefore the total number of fans is 12 + 18 = 30.

If we divide the number of Boston Red Sox fans by the total number of fans, we get 12/30 = 2/5. Finally, we have P(Boston Red Sox) = 2/5.

Answer:

1.2 m/s

Step-by-step explanation:

when t = 0, your equation after expanding the brackets will only be 0^2 + 4.3*0 + 4*0.3 = 1.2

Answer: 432

Step-by-step explanation:

28 × 24 = 672

24 × 20 = 240

Difference = 672 - 240

Answer:

y = 8x^2 + 32x - 96.

Step-by-step explanation:

y=8(x+6)(x-2)

= 8(x^2 - 2x + 6x - 12)

= 8(x^2 + 4x - 12)

= 8x^2 + 32x - 96.

Step-by-step explanation:

x² x<1

-x²+4x-1 1<x<3

x-3 x>3

Feel free to ask question in the comments

The theorem state that the products of the lengths of the line segments on each chord are equal. The value of x from the figure is 15.75

The theorem state that the products of the lengths of the line segments on each chord are equal.

According to the given diagram;

9 * 21 = 12 * x

189 = 12x

Divide both sides by 12

12x/12 .= 189/12

x = 189/12

x = 15.75

Hence the value of x from the figure is 15.75

Learn more on Intersecting chord theorem here:https://brainly.com/question/23732231

#SPJ1

Answer:

The answer sorta varies, for example

"1² + 2² = 3² " cannot form a triangle, same with 4² + 5² = 10², there are actually more numbers but im not sure XD

LMK if this is wrong <3

Answer:

I cannot tell the answer if u don't write the question properly u have to write how much person is in the elevator then only I can calculate