find x step by step ​

Find X Step By Step

Answers

Answer 1

Answer:

[tex] \frac{4 + (x + 1)}{x + 1} = \frac{16}{12} \\ \\ \frac{5 + x}{x + 1} = \frac{16}{12} \\ \\ 12(5 + x) = 16(x + 1) \\ 60 + 12x = 16x + 16 \\ 4x = 44 \\ x = 11[/tex]

Answer 2

Answer:

x = 11 cm

Step-by-step explanation:

Segments DE and BC are parallel (that's what the arrows tell you), so there are two similar triangles formed.

[tex]\triangle{ADE} \sim \triangle{ABC}[/tex]

Corresponding sides are in proportion, so

[tex]\frac{AD}{AB}=\frac{12}{16}[/tex]

The length of AB is (x + 1) + 4 = x + 5, and 12/16 simplifies to 3/4, so

[tex]\frac{x+1}{x+5}=\frac{3}{4}[/tex]

"Cross multiply" to get

[tex]4(x+1)=3(x+5)\\4x+4=3x+15\\4x=3x+11\\x=11[/tex]


Related Questions

find the sum of first 50 terms in the sequence 10n-15.

Answers

Answer:

485 bro just do it with calculator

Step-by-step explanation:

10×n-15

10×50-15

485

Answer:

12,000.

Step-by-step explanation:

First term = 10(1) - 15 = -5

50th term = 10(50) - 15 = 485

Sum of 50 terms = (50/2)(-5 + 485)

= 25 * 480

= 12,000

7) 17 is this number a integer, whole number, or rational number.​

Answers

Answer:

Integer, whole number, and a rational number

A student’s incorrect attempt to simplify an exponential expression is show in the box

What is his mistake!!!!!

Answers

Answer:

A

Step-by-step explanation:

x^a/x^b=x^(a-b). General rule of exponents

Step by step please (variable expression)

Answers

Answer:

139

Step-by-step explanation:

Substitute x for 15.

9(15)+4

Then multiply:

135+4

And then add:

139

Find the unit rate $30 for 2 1/2 hour of work.

Answers

Answer:

$12/ 1 hour of work

Step-by-step explanation:

30 : 2/12

Divide both sides by 2 1/2

12 : 1

2 dived (8+3x3-4^2) What is the answer

Answers

Answer:

2

Step By Step Explanation:

= 2*(8+3*3-4^2)

= 2*(8+3*3-16)

= 2*(8+9-16)

= 2*(17-16)

= 2*(1)

= 2*1

= 2

Answer: 2

Step-by-step explanation:

2/(8+9-16)

2/1 = 2

If f(x) = 24 +5, then what is the remainder when f(x) is divided by 2 + 2?

Answers

Answer:

The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"

can you figure out what 2x° equals and (90-x)°​

Answers

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Pre-Calc HELPP I’ll give brainliest

Answers

The answer is: 1/3 (5)

PLEASE help!10 points​

Answers

Answer:

-24

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

Divide. Write your answer as a fraction in simplest form. − 10 2/7÷(−4 4/11)=

Answers

Hi ;-)

[tex]-10\dfrac{2}{7}:(-4\dfrac{4}{11})=-\dfrac{10\cdot7+2}{7}:(-\dfrac{4\cdot11+4}{11})=\\\\\\=-\dfrac{70+2}{7}:(-\dfrac{44+4}{11})=-\dfrac{72}{7}:(-\dfrac{48}{11})=-\dfrac{72}{7}\cdot(-\dfrac{11}{48})=\dfrac{99}{42}=\boxed{2\frac{15}{42}}[/tex]

in a scientific notation, M •10^n must be greater than or equal to 1 and less than

Answers

In a scientific notation, M •10^n must be greater than or equal to 1 and less than 10.

Classify each number below as a rational number or irrational number

Answers

Answer:

[tex] - \frac{19}{10} \: » \: { \sf{rational}} \\ \\ 20\pi \: » \: { \sf{irrational}} \\ \\ { \sf{ - \sqrt{49} \:» \: rational }}[/tex]

because -√49 = -7

[tex]85. { \bar {93}} \: » \: { \sf{rational}} \\ \\ 2 \sqrt{5} \: » \: { \sf{irrational}}[/tex]

a piece of ribbon measures 4 meters how many pieces of 5 centimeters long can be cut from it

Answers

1 meter = 100 cm

4 meters x 100 = 400 cm

Divide total cm by cm per piece:

400/5 = 80

80 pieces.

If R is the midpoint of OS , RS = 2x - 4, ST = 4x – 1, and RT = 8x – 43, find QS.

Answers

Answer:

56

Step-by-step explanation:

The numerical length of QS is 128.

We have a Line Segment QT and a point R lies on the midpoint of QS.

We have to determine length of QS.

What is Mid - Point of a line?

The mid - point of a line is a point that divides it into two parts of equal lengths.

According to question, we have -

RS = 2x - 4

ST = 4x – 1

RT = 8x – 43

Since, R is the midpoint of QS -

QR = RS = 2x - 4

QS = QR + RS = 2 x QR = 2(2x - 4)

Now -

ST = RT - RS

ST = 8x - 43 - 2x + 4

ST = 6x - 39

and

ST = 4x - 1     [Given]

Therefore -

6x - 39 = 4x - 1

6x - 4x = - 1 + 39

2x = 38

x = 19

Now -

QS = QR + RS = 2RS

QS = 2(2x - 4) = 2( 2 x 19 - 4) = 2(38 - 4) = 2 x 34 = 128

Therefore -  QS = 128

Hence, the numerical length of QS is 128.

To solve more questions on Lines and Lengths, visit the link below -

brainly.com/question/16345328

#SPJ6

simplify
[tex] \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]
please show all work!​

Answers

Answer:

[tex] \displaystyle - 3 \sqrt{5n} + 4 \sqrt{15} n[/tex]

Step-by-step explanation:

we would like to simplify the following expression:

[tex] \displaystyle \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]

recall distribution property thus:

[tex] \displaystyle - \sqrt{3n} \sqrt{15} + 4n \sqrt{15} [/tex]

remember that,

[tex] \displaystyle \sqrt{a} \sqrt{b} = \sqrt{ab} [/tex]

so assign variables:

[tex]a \implies 3n[/tex][tex]b \implies 15[/tex]

simplify Multiplication:

[tex] \displaystyle - \sqrt{45n} + 4 \sqrt{15} n[/tex]

rewrite 45 as 9×5:

[tex] \displaystyle - \sqrt{9 \times 5n} + 4 \sqrt{15} n[/tex]

utilize the formula:

[tex] \displaystyle - \sqrt{9 } \sqrt{5n} + 4 \sqrt{15} n[/tex]

simplify square:

[tex] \displaystyle \boxed{- 3 \sqrt{5n} + 4 \sqrt{15} n}[/tex]

and we're done!

Laws to be used:-

[tex]\boxed{\sf a(b+c)=ab+bc}[/tex]

[tex]\boxed{\sf \sqrt{p}\sqrt{q}=\sqrt{pq}}[/tex]

Solution

[tex]\\ \rm\longmapsto \sqrt{15}(-\sqrt{3n}+4n)[/tex]

[tex]\\ \rm\longmapsto -\sqrt{15}\sqrt{3n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -\sqrt{3(15)n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -\sqrt{3(3)(5)n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{15n}[/tex]

Or we can break 15n

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3(5)n}[/tex]

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3}\sqrt{5n}[/tex]

7 out of 10 students can ride in a van on the field trip. In how many ways can the 7 students be selected

Answers

10p2=90 is your awnser

An interger p is two-third of another and their difference is 10.find the two interferes

Answers

Answer:

30 , 20

Step-by-step explanation:

Let the other number  = x

[tex]p = \dfrac{2}{3}x\\[/tex]

x - p = 10    

Plugin p = (2/3)x in this equation,

[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]

Multiply both side by 3

x = 10*3

x = 30

[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]

p = 20

Answer:

30 and 20

Step-by-step explanation:

We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so

p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )

3p - 2p = 30 , that is

p = 30

and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20

The 2 integers are 30 and 20

Solve for X when 7cos2x = 5

Answers

Answer: x = 22.21

Step-by-step explanation:

Given

7 · cos (2x) = 5

Divide 7 on both sides

7 · cos (2x) / 7 = 5 / 7

cos (2x) = 5/7

Divide cosine on both sides (meaning applying cos⁻¹ to the right-hand side)

2x = cos⁻¹ (5/7)

Divide 2 on both sides

2x / 2 = [cos⁻¹ (5/7)] / 2

[tex]\boxed {x=22.21}[/tex] (Rounded to the hundredth place)

Hope this helps!! :)

Please let me know if you have any questions

Find the perimeter of A(1, 1), B(7, 1), and C(1, 9).

Answers

Answer:

24units.

Step-by-step explanation:

steps are in picture.

If you have any question about it please ask.

Oceanside bike rental shop charges 14 dollars plus 7 dollars an hour for renting a bike. Sara paid 77 dollars to rent a bike. How many hours did she pay to have the bike checked out

Answers

Answer:

she paid for 77 hours

Step-by-step explanation:

First add 14+7 which equals 21 then keep adding 7 which is the total charge  each our until you reach 77.

What is this expression in simplified form?
3/3 x 6/6

Answers

Answer:

18/18 = 1

Step-by-step explanation:

18/18 = 1 it was very easy so right now I’m just using a lot of words

Solve the blank boxes on the graph and answer the question in red

Answers

Answer:

I can’t see the red question.

Step-by-step explanation:

Cho hình chóp có cạnh đáy là hình vuông cạnh bằng . Tam giác cân tại và mặt bên vuông góc với đáy, biết . Tính thể tích của khối chóp .

Answers

Answer:

Madarchod Benchod You Idiota You French

First person to answer this correctly gets Branilist!

Answers

Hello Im from Turkiye. And don't worry I will help you.


Questions 9 = -1
Questions 10 = -15

Answer:

9. -1

First combine the like terms (-5x and 3x), the move -9x to the other side. That equals 7x. Then move -16 (turn positive) and add it to -23, that equals -7. Divide both sides by 7.

10. 9

Add 1 to -24. Then move -23(turn positive) to the other side. Combine with -5 and you get 18. Then move 6r and subtract it from 8r. Divide both sides by 2.

11. 11

Subtract 7a from 9a= 2a. then add 3a and 2a and move 5a to the other side. Add -5a and 2a = -3a. Divide both sides by -3.

12. 5

Combine the like terms. Move -25 and turn it positive and then add it to 20= 45. Turn -2m positive and add it to 7m. Divide both sides by 9.

13. -5

Use the distributive property on both sides. Move 2k and subtract it from 4k= 2k. Move -8 and add it to -18= -10. Divide both sides by 2.

14. -2

Use the distributive property. Move -5n and add it to -6m= -m. Move 18 and subtract it from 20= 2. Divide both sides by -1.

15. -3

Use the distributive property and combine like terms. Move 4p to the other side and subtract from -7p= -11p. Change the sign of 16 and add to 17= 33. Divide both sides by -11.

16. -13

Use the distributive property (pay attention to signs) and combine the like terms. Move -8v, turn positive, and add to -6v= 2v. Move 14, turn negative, and combine with -12= -26. Divide both sides by 2.

Need help ASAP pls thx

Answers

[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+28+28}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{70}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{2}{5}[/tex]

Answer:

28/60

7/15.

7/15R.f(green)

Hope it helps

A football tournament with 12 teams is organised.
Each team will play each other exactly once.

b) Work out the total number of games played

Answers

Answer:

66 games

Step-by-step explanation:

Team 1 will play the rest 11 teams = 11 gamesTeam 2 = 10 gamesTeam 3 = 9 games...Team 11 = 1 game

Total games:

11 + 10 + 9 + .. + 1 = (1 + 11)*11/2 = 66

Find the value of this expression if x - -7.
x2 - 1
x+4
Enter the correct answer

Answers

here are the answers in order
a. -15
b. -3

Simplify please explain step by step

Answers

Answer:

-4.4

Step-by-step explanation:

=3-[8-(7-6.4)]

=-4.4

What is the volume of a cone with a height of 27 cm and a radius of 13 cm? Round your answer to the nearest tenth

Answers

Answer:

[tex]\huge\boxed{\sf V = 4778.4\ cm\³}[/tex]

Step-by-step explanation:

Given:

Height = 27 cm

Radius = 13 cm

Formula:

[tex]Volume \ of \ cone \ V = \frac{1}{3} \pi r^2h[/tex]

Solution:

V = 1/3 (3.14)(13)²(27)

V = (3.14)(169)(9)

V = 4778.4 cm³

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!
Other Questions
!!DUE TODAY, NEED HELP ASAP!!A student measured the masses of some aluminum and copper cylinders of different volumes. The data is displayed below:Aluminum: Copper: Volume (mL)Mass (g)Volume (mL)Mass (g)3.79.991.816.02616.22.320.478.522.993.531.1510.74294.237.381540.55.851.62On graph paper graph the data above on ONE graph. Use the graph paper so the longer side is your y-axis.Use up the majority of the graph paper. Do not make a small graph!Use a ruler/straight edge so you graph is neat.You will need to plot the points for each substance and create a double line graph. When connecting your points for each substance, continue the lines past the plotted points. Be sure to include a key to identify the substances. Make your X-axis volume(mL) and your Y-axis mass(g)Look at the numbers for both substances when creating your scales. You will most likely have a different scale for mass and volume. What is the lowest number? What is the highest number? What does it make sense to go by? Calculate the density of each metal. Aluminum:_________________________ Copper:________________________What happens to the mass of the copper at the volume increases from 6 to 8mL?Which sample is more dense? How does the graph show you this? Which sentence states implicit information you can learn from the passage? Calculate f(4x + 5) if f(x)=x^2 1. Do you have an I-phone? Apple's I-phone is the most popular phone among American teenagers and 20-somethings. Why? What are the missing coefficients for the chemical equation [ ] Ca + [ ] O2 [ ] CaO Mrs. Diaz had 5/6 gallon of paint to start. When she finished sha had 1/2 gallon. How much paint did Mrs. Diaz use? Please put details! I need it! AAA construction company increases their work force from 12 workers to 20 workers in a year. What is the approximate percent increase of the number of workers? Question 7Which graph best represents the solution to the following inequality?+ 5 > 11A161719 20 21 2223 24 25O15161718 19 20 21 222324 25c.10 113 4 5121513 14D.8101112131415 I need help on this problem36-12x/6 Ms. Jones has lab results that indicate as normally low levels of blood calcium. Which gland might be involved? Which hormone is lacking in this condition Mike weights 200 pounds and plans to lose 1.5 pounds a week. Jeff weights 180 pounds and plans to lose 0.5 pounds a week. When mike and Jeff weigh the same? how does microbes useful for treating wastewater sewage (answering gets 10 points, PLS HELP!) In english we have to read these short stories, and mine is the story hamadi. 1. In 35 complete sentences, thoroughly explain how the protagonist's cultural background affects his or her actions and choices in your Module One short story? Provide at least two specific details from the text to show how the protagonist's cultural background affects his or her actions and choices.2. In 35 complete sentences, thoroughly explain how your protagonist changes from the beginning of the story to the end in your Module One short story? Provide at least two specific details from the text to show how the protagonist changes from the beginning of the story to the end. whhat is the degree of x2 y3 + a3 b4 -7 B. Find the equation of the line parallel to 6x+2y = 10and passing through (-3,5). He is always late for the class- (negative Helpppp pleeeassseee What is the density of a substance that has a volume of 14 milliliters and a mass of 13.2 grams Please answer these, Im willing to give plenty of points. Does a person with a family history of a breast cancer have a higher chance of developing breast cancer during her life?IV:_________DV:__________Hypothesis:__________Does grass grow faster under shade of a tree or in direct sunlight? IV:_______DV:_______Hypothesis:_________Observation: students do not eat very much of their food in the lunchroom.Question: will students eat more food in lunch room if more fresh fruit and vegetables are used?IV:_________DV:__________Hypothesis:_______Observation: my dog wont stop barking whenever someone rings the doorbell.Question: will my dog bark less when the doorbell rings if he exercises for an hour everyday?IV:_____DV:_______Hypothesis:________ Create your own question.Observation:___________Question:_____________IV:________DV:_________ Hypothesis:____________ Please send help before school starts!!!!!