Use the sequence below
to complete each task.
-6, 1, 8, 15, ...
a. Identify the common difference (a).
b. Write an equation to represent
the sequence.
C. Find the 12th term (22)

Answer:

C. 150

Step-by-step explanation:

x° + 30° = 180°...(sum of interior angles)

x° = 180° -30°

x°= 150°

x= 150

The value of x° in the given diagram is 150°. This is obtained by using the pair of interior angles formed along a transverse when passing through parallel lines.

The verticle angles are opposite to each other when two lines are intersected at a point. Those angles are the same in size.

It is given that line AB is parallel to line CD and transverse is making angles with these lines.

The angles are x° and 30°.

The angle of 30° is at the exterior side of these lines at the point of intersection of line CD and the transverse line. So, it forms a verticle pair of angles with the angle opposite to it.

Thus, the angle opposite to it also becomes 30°. This opposite angle lies inside the parallel lines. So it forms a pair of interior angles with a given angle x.

Since we know that sum of pair of interior angles = 180°, we get

x° + 30° = 180°

⇒ x° = 180° - 30°

⇒ x° = 150°

∴ x = 150°

Thus, the angle x = 150°. So, option C is correct.

Learn more about interior angles here:

https://brainly.com/question/16976757

#SPJ2

Answer:

Time, t = 2 seconds

Step-by-step explanation:

The height of a flare fired from a 32-foot high platform can be modeled by the function :

[tex]h= -16t^2 + 16t + 32[/tex]

Here, h is the height in feet above the ground and t is the time in seconds.

It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,

h = 0

[tex]-16t^2 + 16t + 32=0\\\\t=\dfrac{-16+\sqrt{16^2-4\times (-16)(32)} }{2(-16)}, \dfrac{-16-\sqrt{16^2-4\times (-16)(32)} }{2(-16)}\\\\t=-1\ s, 2\ s[/tex]

Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.

Answer:

1

Step-by-step explanation:

(15 divided by 3) - 4

5-4=1

Answer:

-1/4

Step-by-step explanation:

The dot is negative because it is below 0. It is 1/4th of the way from 0 to -1. Therefore it is -1/4.

Answer:

-1 / 4 ?

Step-by-step explanation:

Because it's already in the negative section.

Answer:

The NMTAndP are all the same

Answer:

-1/3 or -0.33

Step-by-step explanation:

Square root of 4 equals 2 and 3(x-1) is 3x -3. So, 2-3 equals -1 divided by 3 equals -1/3 or -0.33.

PLZ MARK BRAINLIEST!!!

Answer:

In this discussion, they both got  the same answer, so they're both right. However, when Jackson said Lena was wrong, he was incorrect, because Lena's way was also correct. So, they were both right in this discussion when it comes to the answers, but Jackson was wrong when he said lena was wrong. (I hope this helped).

Step-by-step explanation:

Lena: 14(8 + 12)

14(20)

280

Jackson: 14 x 8 = 112

14 x 12 = 168

168 + 112 = 280

Answer:

13.56

Step-by-step explanation:

Answer:

add to solve for x and subtract to solve for y

Step-by-step explanation:

To solve for any variable, it is required to eliminate the other variable in two variable - two equation set.

The set of equations are

4x + 9y = 7  __________1

4x - 9y = 9 ___________2

To solve for x we need to eliminate  Y

We see that in equation 1 there is 9y and

in equation 2 there is -9y

if we add 9y and -9y (9y -9y = 0)

Hence it is clear  that to solve for x , it is needed to add equation 1 and equation 2.

by adding equation 1 + equation 2 we have

4x + 9y = 7  __________1

=> 4x - 9y = 9 ___________2

=>4x + 9y + 4x -9y  = 7 +9

=>8x = 16

=>x = 16/8 = 2

____________________________

To solve for y we need to eliminate  x

We see that in equation 1 there is 4x and

in equation 2 also there is 4x

if we subtract 4x and 4x (4x -4x= 0) , we get 0

Hence it is clear  that to solve for y , it is needed to subtract equation 2 from equation 1.

by performing equation 1 - equation 2 we have

4x + 9y = 7  __________1

=> 4x - 9y = 9 ___________2

=>4x + 9y -( 4x -9y)  = 7 - 9

=>4x + 9y - 4x +9y  = -2

=>18y = -2

=>y =  -2/18 = -1/9

_____________________________

Thus, correct answer is

add to solve for x and subtract to solve for y

Answer: The answer is add to solve for x and subtract to solve for y, I hoped this helps, brainliest please? :)

Step-by-step explanation:

Answer:

a b d

Step-by-step explanation:

is all that apply

Answer:a c e

Step-by-step explanation:just took it. Those are all that apply.

Answer:

C. [tex]\frac{p^7q}{160}[/tex]

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

82209,96 miles

Step-by-step explanation:

1. 5,7 x 102 = 581,4 miles/hour

And

1,4 x 101 = 141,4 hours

2. 141,4 (hours) x 581,4 (miles) ÷ 1 (hour) = 82209,96 miles

It's the rule of three...

I hope it helped you!

Answer: The unit price of the hot dog is $1.38

The unit price of the hamburger is $1.32

So the hotdog is more expensive than the hamburger

Step-by-step explanation:

Answer:

(-30, 10)

multiply -20/60 by -0.5 each and you get 10/-30

this is the only pair achievable by proportion.

Answer:

These are the formulas to find area and circumference of a circle.

Area = pie (times) radius squared

A=πr^2

Circumference= 2 (times) pie (times) radius

C=2πr

Hope this helps enough

reflection transformation i believe. Correct me if im wrong im not that smart lol.

Answer:

29,25,C

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

x^2+20^2=25^2

x^2+400=625

x^2=225

x=15

Answer:diameter to circumference

Answer:

Circumference to diameter

Step-by-step explanation:

Answer:

9.3361

Step-by-step explanation:

simplify each term

subtract 3.51 from 6.2

Answer:

exactly 2 factors

Step-by-step explanation:

they are 1 and itself

for example 3 is a prime number and its factors are 3 and 1.

Answer:

exactly two factors

Step-by-step explanation:

Answer:

Quanto fa 1678890786+279265291

Answer:

40 meters

Step-by-step explanation:

Answer:D

Step-by-step explanation:180 degrees counterclockwise rotation about the origin and translation 2 units down

Answer:

A. 11/36

Step-by-step explanation:

Add all the numbers together(36), and then see how many out of that number are the vibrant blue shirt. Since they are asking the probability of you being given a vibrant blue shirt, and there are 11 out of the 36 shirts, therefore you have an 11/36 chance that you will be given a vibrant blue shirt.

Answer:

11/36

Step-by-step explanation:

36 is the total amount of t-shirts and 11 t-shirts are vibrant blue.

Answer:

y = 3x + 2

Step-by-step explanation:

So we can use the point-slope equation to help us figure out our y = mx +b equation

First we need to choose two points on the graph so we can calculate our slope

I personally like to choose point that intersects two numbers perfectly on the line rather than a point that is maybe half way between two numbers

So we can use the point (0,2) and the point (2,8)

Our (0,2) will represent (x₁, y₁) and our (2,8) will represent (x₂,y₂)

The equation to find the slope is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex], so plugging in our values, we get [tex]m=\frac{8-2}{2-0} =\frac{6}{2} =3[/tex]

We have found our slope, 3, and now we can use the point-slope equation: y - y₁ = m(x - x₁) to figure out the remainder of the equation.

Plugging in our values we get: y - (2) = (3)(x - (0)) which simplifies to y - 2 = 3x which then simplifies to y = 3x + 2

Answer: true...

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

In a standard 90°- 60°- 30° triangle

with legs 1 and [tex]\sqrt{3}[/tex] and hypotenuse 2

cos60° = [tex]\frac{1}{2}[/tex] and sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] ← True

To find the volume of the onyx used, we have to find the volume of the larger figure and then subtract the volume of the smaller figure from it.

The volume of onyx used is equal to 128in^3

Let's proceed to multiply through the length, width and height of the figure to determine the volume.

[tex]volume = length * width * height \\volume = 8 * 8 * 3\\volume = 192in^3[/tex]

The volume of the larger figure is 192in^3

Let's calculate the volume of the square hole

[tex]volume of square = (length)^3\\volume of the square = 4^3 \\volume of the square = 64in^3[/tex]

Data;

Let's subtract now and calculate the volume of onyx used

[tex]volume of onyx used = 192 - 64 = 128in^3[/tex]

The volume of onyx used is equal to 128in^3

Learn more on volume of a square here;

https://brainly.com/question/16384352

#SPJ2

Answer:

C.)  192

Step-by-step explanation:

got it right

Answer:

288 pi Centimeters cubed

Step-by-step explanation:

To find the volume of  the cylinder with diameter of 8 centimeters and height of 18 centimeters, we will follow the steps below:

First, write the formula for calculating the volume of a cylinder

volume of a cylinder = πr²h

where r is the radius and h is the height of the cylinder

from the question given, height h = 18 cm    and diameter = 8 cm

but diameter = 2r, this implies that r=[tex]\frac{d}{2}[/tex]    hence radius r = [tex]\frac{8}{2}[/tex] = 4 cm

we can now proceed to insert the values into the formula;

volume of a cylinder = πr²h

                                    =π×4² ×18

                                    =π×16 ×18

                                    =288 π cm³

volume of the cylinder = 288 π cm³

Answer:

its A

Step-by-step explanation:

288 pi Centimeters cubed