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

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

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]

Simplify please explain step by step

Answers

Answer:

-4.4

Step-by-step explanation:

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

=-4.4

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

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.

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)"

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

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

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]

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

Answers

I HOPE IT WILL HELP YOU.

Have a great day ahead.

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

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.

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

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

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

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]

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

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

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!

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

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.

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.

Pre-Calc HELPP I’ll give brainliest

Answers

The answer is: 1/3 (5)

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:

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

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.

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

Answers

Answer:

Integer, whole number, and a rational number

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

Other Questions
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