Please Help! The value of m is:

Please Help! The Value Of M Is:

Answers

Answer 1

Answer:

The value of m in the figure is 28.

Step-by-step explanation:

When we look at the figure, we see that 6 and 21, are connected with parallel lines to 8 and m. We can also see that 21 is dilated from 6. When dilating, we multiply or divide by a number, to get the extended or shortened length. (Just keep multiplication and division in mind)                

To get m, we can do the same that we did to get 21, from 6.

To get 21 from 6, you must divide 21 by 6. So when we do the same thing to 8, we should get m.

21 / 6 = 3.5

Now that we have the dilation of 3.5, we simply multiply that by 8.

3.5 * 8 = 28

The value of x in the figure is 28.

Answer 2

[tex]\\ \rm\dashrightarrow \dfrac{m}{8}=\dfrac{21}{6}[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{m}{8}=\dfrac{7}{2}[/tex]

[tex]\\ \rm\dashrightarrow 2m=56[/tex]

[tex]\\ \rm\dashrightarrow m=28[/tex]


Related Questions

I WILL GIVE BRAINLIEST look at the right angled triangle abc
the square fits exactly inside the triangle
work out the sizes of angles x y and z

Answers

Answer:

(a) y = 25°

(b) x = 90°

(c) z = 25°

Step by step explanation:

Part A

z + 90° + 65° = 180°

z = 180° - 65° - 90°

z = 25°

Part B

x + 90° = 180°

x = 90°

Part C

x + 65° + y = 180°

90° + 65° + y = 180°

y = 25°

Additional:

A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.

what is the surface area of the triangular prism? 15ft 9ft 24ft 40ft 15ft PLEASE BE FAST ILL GIVE BRAINLIESTTT TODAYS MY LAST DAY AG SCHOOL TO AHH

Answers

Answer:

B. 2376 Square feet

--------------------------------------------------

Bart had 36 marbles. he gives all of his marbles to four friends. he gives each friend the same number of marbles. how many marbles does each friend have?

Answers

Answer:

9

Step-by-step explanation:

He had 36 Marbles and he gives all to his four friends. And all friends get the same number of marbles so we will have to do division which will be :

36{marbles} divide by 4{friends}=9 so each friend got 9 marbles.

Each friend will have 9 marbles

What is division?

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

The division is an operation inverse of multiplication. If 3 groups of 4 make 12 in multiplication; 12 divided into 3 equal groups give 4 in each group in division.

Given that:

[tex]4x=36[/tex]

[tex]36[/tex] ÷ [tex]4[/tex] [tex]=9[/tex]

Therefore, each friend will have 9 marbles

KEYWORDS:

equaldivideshareremainderleft over

Learn more about division here:

brainly.com/question/1974422

esi ran around a rectangular swimming pool 31 times if the distance around the pool is 800m. find the total distance covered by esi km and m

Answers

Answer:

24,800m or 24.8km or 24km 800m

Step-by-step explanation:

Perimeter of Rectangle (Given) = 800m or (800/1000)km = 0.8km

Total Distance covered by esi = Perimeter of Rectangle x Number of round ran

= 800m or 0.8km x 31

= 24,800m or 24.8km or 24km 800m

Not sure how you want the answer in so I came up with all possible answers.

Answer:

24.8km

24800m

Step-by-step explanation:

800 x 31 = 24800

24800m

to convert 24800m into km, we divide 24800 by 1000

24800/1000 = 24.8

24.8 km

hope this helps:)

Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the estimated and actual products compare?

(Hint: use 18 for the denominator when comparing.)
The actual product is about StartFraction 1 over 18 EndFraction greater than the estimate.
The actual product is about StartFraction 1 over 18 EndFraction less than the estimate.
The actual product is about StartFraction 1 over 9 EndFraction greater than the estimate.
The actual product is about StartFraction 1 over 9 EndFraction less than the estimate.

Answers

The correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

What are fractions?

The fraction is defined as the division of the whole part into an equal number of parts. here we have the following information Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction.

E =  [tex]\dfrac{5}{8}\times \dfrac{8}{9}[/tex] = 0.55

Thus the product of the fraction estimated in the nearest half is,

0.5×1= 0.50

Therefore the correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

To know more about fractions follow

https://brainly.com/question/78672

#SPJ1

Answer: B

Step-by-step explanation: took test/quiz

What percent of the first 20 natural numbers are one-diget numbers

Answers

Answer:

9/20 or forty five percent (45%)

In a random population, out of 500 people, 160 had blue eyes. In a group of 2500 people, how many would have blue eyes?

Answers

Answer:   800

======================================================

Work Shown:

(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)

160/500 = x/2500

x = 2500*(160/500)

x = 800

------------

Another approach:

160/500 = 0.32 = 32% of the first group has blue eyes

Assuming this percentage is the same for any group, then,

32% of 2500 = 0.32*2500 = 800 people of the second group are estimated to have blue eyes, of the 2500 total.

Evaluate:
[tex]\bf{\sum^{32}_{n=1}\:(2n+8)[/tex]

Please help A.S.A.P., thank you guys!

Please show work as well.

[tex]\bigstar[/tex]

Answers

S₃₂ = 1312

Explanation:

[tex]\boxed{\sf \sum _{n=1}^{32}\left(2n+8\right)}[/tex]

Formula Required:

[tex]\sf sum \ of \ arithmetic \ series = \dfrac{n}{2} (2a \ + \ (n-1) \ d)[/tex]

Identify the following's:

First Term (a) = (2(1) + 8) = 10

Common Difference (d) = 2nd term - first term = (2(2) + 8) - (2(1) + 8) = 2

Total Terms (n) = 32

Insert variables:

[tex]\rightarrow \ \sf S_{32} = \dfrac{32}{2} (2(10) + (32-1) 2) \quad \xrightarrow{\text{Simplify} } \quad 1312[/tex]

The volume of a rectangular pyramid is 220 units^3
3
. If the length of the rectangular base measures 6 units and the width of the rectangular base measures 10 units, find the height of the pyramid.

Answers

Answer:

h = 11 units

Step-by-step explanation:

Volume of a Rectangular Pyramid = lwh/3

220 = 6*10*h/3

(220) * (3) =  ((6)*(10)*(h) / 3) * 3

660 = (6) (10) (h)

Simplify both sides of the equation.

660 = 60h

h = 11 units

please help i have no idea how to do this

Answers

Answer (Step-by-step explanation):

so X is horizontal and Y is vertical.  (X,Y) because X comes first and Y comes last and all you need to do is make sure your points are correct and that the best of my ability, you can also try drawing lines to each pin point and you can estimate these (X,Y) because X=? and Y=? so good luck i hope that helps! (:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each radical expression to the corresponding expression in rational exponent form.

Answers

The radical expressions and their corresponding expression in rational exponent form are

[tex]972^\frac 15 = 3\sqrt[5]{4}[/tex], [tex]448^\frac 13 = 4\sqrt[3]{7}[/tex], [tex]3528^\frac 12 = 42 \sqrt 2[/tex] and [tex]4050^\frac 14 = 3\sqrt[4]{50}[/tex]

How to match the tiles?

We start by evaluating each expression as follows:

[tex]972^\frac 15[/tex]

Expand 972

[tex]972^\frac 15 = (243 * 3)^\frac 15[/tex]

Take the 5th root of 243

[tex]972^\frac 15 = 3* (4)^\frac 15[/tex]

Rewrite as:

[tex]972^\frac 15 = 3\sqrt[5]{4}[/tex]

Next, we have:

[tex]448^\frac 13[/tex]

Expand 448

[tex]448^\frac 13 = (64 * 7)^\frac 13[/tex]

Take the 3rd root of 64

[tex]448^\frac 13 = 4 * (7)^\frac 13[/tex]

Rewrite as:

[tex]448^\frac 13 = 4\sqrt[3]{7}[/tex]

Next, we have:

[tex]3528^\frac 12[/tex]

Expand 3528

[tex]3528^\frac 12 = (1764 * 2)^\frac 12[/tex]

Take the square root of 1764

[tex]3528^\frac 12 = 42 * (2)^\frac 12[/tex]

Rewrite as:

[tex]3528^\frac 12 = 42 \sqrt 2[/tex]

Lastly, we have:

[tex]4050^\frac 14[/tex]

Expand 4050

[tex]4050^\frac 14 = (81 * 50)^\frac 14[/tex]

Take the 4th root of 81

[tex]4050^\frac 14 = 3 (50)^\frac 14[/tex]

Rewrite as:

[tex]4050^\frac 14 = 3\sqrt[4]{50}[/tex]

Read more about radical expressions at:

https://brainly.com/question/8952483

#SPJ1

can you find a five digit number which has no zeros, and no digit is repeated, and where:
the first digit is a prime number
the second digit is the fith digit minus the first digit.
the third digit is twice the first digit
the forth digit is the third digit plus 3
the fith digit is the diffrence between the first digit and the fourth digit

Answers

Answer:

13,254

hope this helps :)

please crown me brainliest!

Given: The two functions below, f(x) and g(x). Find: How do the value of each functions outputs compare when x=0?
f(x)< g(x).
g(x)=f(x)
f(x)> g(x)

Answers

We will see that, when evaluated in x = 0, g(x) is larger than f(x).

How to compare the functions when x = 0?

First, we can see that:

g(x) = x + 3

Then, evaluating it in x = 0 we get:

g(0) = 0 + 3 = 3

Now, if we go to the table that represents f(x), we can see that it has the point (0, -6).

Then we can get:

f(0) = -6

With that, we can conclude that: g(0) > f(0), so the correct option is the first one.

If you want to learn more about evaluating functions:

https://brainly.com/question/1719822

#SPJ1

what is the diameter of the cylinder

Answers

Diameter of cylinder is 14 units.Explamation :

Given :-

Volume of cylinder = 245π cubic unitsHeight of cylinder = 5 units

To Find :-

Diameter of cylinder?

Solution :-

Firstly lets calculate radius of cylinder by using formula of volume of cylinder, as we know that;

Volume of cylinder = πr²h

Putting all values we get;

➸ 245π = π × r² × 5

By cutting 'π' with 'π' we get;

➸ 245 = r² × 5

➸ 245/5 = r²

➸ 49 = r²

➸ √(49) = r²

➸ √(7 × 7) = r²

➸ 7 = r

r = 7 units

Hence, radius of cylinder is 7 units.

Now lets calculate its diameter, as we know that;

Diameter = Radius × 2

Putting all values we get;

➸ Diameter = 7 × 2

Diameter = 14 units

Hence, diameter of cylinder is 14 units.

f(a)=a^3-10a^2+28a-17 at a=6

Evaluate function using the
Remainder theorem
Show work
I give Brainliest. :)

Answers

Answer:

727

Step-by-step explanation:

6^3-106^2=216+360=576+168=744-17=727

Which of the following best describes ZAOR?
R
142⁰
A

Answers

A major arc is an arc that is greater than 180 degrees.

A minor arc is an arc less than 180 degrees.

An acute angle is an angle less than 90 degrees.

What is the central angle?

A central angle is an angle created in the center of a circle with 2 sides being the radius.

Thus, we can see in the figure that we are talking about the angle so we can eliminate the major arc and minor arc.

Now, we clearly see that the angle is greater than 90 degrees so it cannot be an acute angle.

The correct answer is the central angle as it goes with the definition.

To learn more about the central angle visit:

https://brainly.com/question/10945528

#SPJ1

Question content area top
Part 1
A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each prism as shown. What is the volume of the​ slice? What is the volume of the remaining​ cake? Use pencil and paper. Describe two ways to find the volume of the slice.
5 in.
3 in.
2.6 in.
4.3 in.
2 in.
3 in.
​(The figure is not to​ scale.)
Question content area bottom
Part 1
The volume of the slice is

40 in..
​(Round to the nearest whole number as​ needed.)
Part 2
The volume of the remaining cake is

enter your response here in..

Answers

The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.

What is a regular hexagon?

A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with a side of length = 3 in, height = 3 in

One big hexagon cake, side of length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side

length = length of hexagon side

The length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                    = 4√3

The volume of big slice =  Area of the surface of big slice × Height of big slice

= 16√3

= 28

The total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake,

the remaining volume = 5 x 11.69 = 58.45

For the big cake

the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake

= 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

The volume of small slice = a^2 x h x √3/4

                                   = 9 x 3 x √3/4

                                   = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of the slice = 39404 in³.

Learn more about hexagon;

brainly.com/question/16025389

#SPJ1

A cylinder has a radius of 12 m and a height of 9 m.

What is the exact volume of the cylinder?


108π m³

216π m³

972π m³

1296π m³

Answers

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=12\\ h=9 \end{cases}\implies V=\pi (12)^2(9)\implies V=1296\pi ~m^3[/tex]

Solve for x: 1 over 3 (2x − 8) = 4. (1 point)

Group of answer choices

2

6

10

10 over 3

Answers

Answer:

x=6

Step-by-step explanation:

[tex]2x - 8 = 4 \\ 2x = 4 + 8 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6[/tex]

What is the sphere's volume?

Answers

Answer:

[tex]972\pi~ \text{in}^3[/tex]

Step-by-step explanation:

[tex]\text{Volume of sphere} = \dfrac 43 \pi r^3 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac 43 \pi \left( \dfrac d{2} \right)^3\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac 43 \pi \cdot \left(\dfrac{18}{2}\right)^3\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac{4\pi}3 \cdot 9^3 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~=972\pi~ \text{in}^3[/tex]

4 people completed their work in one hours how will it take 3 peoples to finish it give your answer in minutes

Answers

60/4= 15

15 x 3 =45 minutes

This box plot shows information about the marks scored in a test.

Nobody gained exactly 30, 48 or 70 marks.
120 students gained less than 70 marks.
How many students gained more than 48 marks?

Answers

since 120 students gained less than 70, and 70 is the upper quartile, 120 people are in the 75% of all the students so we need to find the total number of students.
we need to multiply 0.75 (75%) by something to get 120. which is 160 (the total number of all students).
and since 48 is the median score, find 50% of 160 which is 80!
hope this helps :)

Kevin bought 6lbs of jelly beans. Antonio bought 66oz of jelly beans.
How many more did Kevin buy than Antonio?

Answers

Answer:

30 ounces (1 pound 14 ounces)

Please give brainliest!

Hope this helps:)

To find this, we first need to convert 6 lbs into ounces

lb = 16 ounce

6 lbs = 96 ounces!

96-66 = 30

Kevin bought 30 more ounces, or 1 pound and 14 ounces more jelly beans than antonio.

Piece wise functions

Answers

Answer:

f(-5) = -6  

f(-2.6) = 2.4

f(2.1) = 9.41

Step-by-step explanation:

In the question, we are told to find f(-5), f(-2.6), and f(2.1). The numbers in the parentheses represent x.

First, let's look at f(-5). Which equation should we use because x is -5? We should use the first equation because -5 is less than -3. Plug into the equation and solve:

f(-5) = -6      (We didn't have to do much because anything less than -3 equals -6)

Now, let's look at f(-2.6). We should use the equation in the middle because -2.6 is between -3 and 0. Plug -2.6 in the equation and solve:

f(-2.6) = -2.6 + 5

f(-2.6) = 2.4

Lastly, let's look at f(2.1). We should use the third equation because x is greater than 0. Plug 2.1 in the equation and solve:

f(2.1) = [tex](2.1)^{2} +5[/tex]

f(2.1) = 4.41 + 5

f(2.1) = 9.41

Therefore, the final answers are:

f(-5) = -6  

f(-2.6) = 2.4

f(2.1) = 9.41

Hope this helps!! If you have questions about my work, please let me know in the comments!

In the xy-plane, The line P is perpendicular to the graph of the equation 4x+3y=12. Which of the following is the slope of line P? A. -4 B.-3 C. 3/4 D.12

Answers

A slope is also known as the gradient of a line. The slope of line P is 3/4.

What is Slope?

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

As it is known that for two perpendicular lines the slope of the lines will be negative reciprocal of each other. The slope of line 4x+3y=12 can be written as,

y = 4 - (4/3)x

m₁ = -1/m₂

-(4/3) = -1/m₂

m₂ = 3/4

Hence, the slope of line P is 3/4.

Learn more about Slope of Line:

https://brainly.com/question/14511992

#SPJ1

Write/Indicate the corresponding measures of 300- 600-900 right triangle.

Answers

I used a triangle generator, see picture attached

Help please!

preform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use size for measurements of very large or very small quantities (e.g use kilometers per year for sea floor apeading.) intercept scientific notation that has been generated by technology

Answers

Scientific Notation is EASY.

Just move the decimal to the right if it is positive:

6.2 x 10¹ = 62

6.2 x 10² = 620

6.2 x 10³ = 6,200

6.2 x 10⁴ = 62,000

6.2 x 10⁵ = 620,000

6.2 x 10⁶ = 6,200,000

Move the decimal to the left if it is negative:

6.2 x 10⁻¹ .62

6.2 x 10⁻² = .062

6.2 x 10⁻³ = .0062

6.2 x 10⁻⁴ = .00062

6.2 x 10⁻⁵ = .000062

6.2 x 10⁻⁶ = .0000062

What about about 6.2 x 10⁰?

6.2 It wouldn't change location.

I hope this helps!

The following scatter plot represents the height of a basketball in seconds during a free throw shot.

Answers

Uh what’s the question

5. Find the equation of the line in slope-intercept form.
a. (1,-6) and (-7, 2)

Answers

Step-by-step explanation:

y=1x-(-6)

y=-7x-2

follow and label y and x inside the equation

make sure you draw a graph to help you find the intercept form.

Daisy is making an abstract painting with two triangles. The dimensions of the painting are shown below:

Two triangles share the same height of 10 inches. One triangle has a base of 8 inches, and the other is 12 inches.

The total area of the two triangles is _____ square inches.

Answers

Answer:

The total area of the two triangles is 100 square inches.

Step-by-step explanation:

Solution:

Area of one triangle:

Height = 10 inches

Base = 8 inches

Area of triangle =

                         

                         = 40 square inches

Area of another triangle:

Height = 10 inches

Base = 12 inches

Area of triangle =

                         

                         = 60 square inches

Total area of the two triangles = 40 square inches + 60 square inches

                                                 = 100 square inches

The total area of the two triangles is 100 square inches.

hope that helped:)

Other Questions
50 POINTSA pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought? a1.5x + y = 12 x = 9y bx + 1.5y = 12 x + y = 9 cx + 9y = 12 x = 1.5y d9x + y = 12 x = 1.5y PLEASE PLEASE HELP ME QUICK.The characteristics of certain cell divisions are described in the following table.Characteristic Description 1 Forms diploid cells 2 Creates (INTERCOURSE) cells, or gametesWhich type(s) of cell division do the two characteristics represent? A) Both characteristics represent meiosis.B) Both characteristics represent mitosis.C) Characteristic 1 represents meiosis and characteristic 2 represents mitosis.D) Characteristic 1 represents mitosis and characteristic 2 represents meiosis. At her sisters birthday party Cheyenne thought it would be funny to drink lemonade from a party hat if the radius is 4.8 cm and the height of a hat is 12 cm how many cubic centimeters of lemonade can Cheyenne pour into the hat A helicopter takes off from ground level and rises to a cruising elevation. The pilot descends to ground level, picks up a reporter, and transports her to a helipad on top of a building. Which graph shows the height of the helicopter over time? HElp pleasee please correct answer state any two functions of government office Read the stanza from "deliverance from another sore fit." "thou knowest the sorrows that i felt; my plaints and groans were heard of thee, and how in sweat i seemed to melt thou help'st and thou regardest me." what does the word regardest suggest about the speakers attitude toward god? the speaker believes god will end all suffering. the speaker considers god to be largely unknowable. the speaker thinks of god as a closest friend. the speaker feels watched attentively by god. At which event did political parties meet to choose candidates for an upcoming election? 1.The expansion of the Mexican wolf population in Arizona raises the possibility of the formation of a hybrid zone with coyotes along the boundaries of their range. Which statement, if true, would most likely result in the formation of a stable hybrid zone? A. Coyote-wolf hybrids are less fit in the hybrid zone than either parental species. B. Coyote-wolf hybrids are more fit in the hybrid zone than either parental species. C. Coyote-wolf hybrids are less fit outside the hybrid zone than either parental species. D. Coyote-wolf hybrids are more fit outside the hybrid zone than either parental species.2.How would a drought in Arizona most likely affect the population density of the Mexican wolf population? A. The population density would decrease because insufficient abiotic factors are available to support the population. B. The population density would decrease because insufficient biotic factors are available to support the population. C. The population density would increase because sufficient abiotic factors are available to support the population. D. The population density would increase because sufficient biotic factors are available to support the population. Drag each step to the correct place on the flow chart.A senator writes legislation. What happens next? Put the events in order. ________, Chapter 11 is called "God's Hall of Faith" because it tells of men and women who showed great faith.HebrewsEphesiansRevelationRomans Create an outline for an argumentative research essay, which you will draft in Lesson 2. The outline will begin with a strong claim, followed by at least three supporting reasons. The evidence that backs up each reason must come from credible sources that you find through research. In its finished state, your outline should show how the claim, reasons, and evidence all relate. What can we infer about this couple from the fact that they eat beans? that they're retired that they're poor that they're old that they're wealthy What is the difference between the wiring configurations for a residential, 8-position, 8-contact (8P8C) modular plug and jack in the Universal Service Order Codes (USOC) and ANSI/TIA/EIA 570-B y varies inversely as x. If y=4 when x=15, find y when x=12 If one wants to determine the effectiveness of a stimulus as a reinforcer as the requirements to earn that reinforcer change over time, which assessment method would be most appropriate?. 100 POINTS FOR ANYONE WHO CAN DO THIS!Make the following modifications to the original sentence-generator program:The prepositional phrase is optional. (It can appear with a certain probability.)A conjunction and a second independent clause are optional: "The boy took a drink and the girl played baseball".An adjective is optional, it may or may not be added to the sentence to describe a noun: "The girl kicked the red ball with a sore foot"."Optional" is implying that the program should include these elements in a semi-random frequency.You should add new variables for the sets of adjectives and conjunctions. how to calculate labor cost PLEASE I WILL MARK BRAINLIST only help if u know :D 2x=-4(1/4-3/4 x)+4solve for x