Solve for the value of x

Solve For The Value Of X

Answers

Answer 1

Answer:

x=9

Step-by-step explanation:

To solve for x, you can set up a proportion between the 2 triangles we see.

The small triangle can be written as [tex]\frac{16}{20}[/tex], and the large triangle can be written as [tex]\frac{16+12}{20+2x-3} = \frac{28}{2x+17}[/tex].

Set both proportions equal to each other.

[tex]\frac{16}{20}=\frac{28}{2x+17}[/tex]

Cross multiply and solve for x.

[tex]16(2x+17)=(28)(20)[/tex]

32x+272=560

32x=288

x=9


Related Questions

2 1/2 divided by 5/2

Answers

[tex]\dfrac{2 \tfrac 12 }{\tfrac 52}\\\\\\\\= \dfrac{\left(\tfrac 5 2\right)}{\left(\tfrac 52 \right) }\\\\\\\\=1[/tex]

Rob is saving to buy a new MP3 player. For every $15 he earns babysitting, he saves $10.On Saturday, Rob earned $45 babysitting. How much money did he save?

Answers

Answer:

$30

Step-by-step explanation:

Okay, so we can solve this problem using fractions; $10 saved for every $15 made..

10/15=x/45

Using cross multiplication we can conclude 10*45=15x

450=15x

x=30

Hope this helps :)

Three Numbers are in the ratio of 2:3:7. What is the largest number if the sum is 288

Answers

Answer:

2x + 3x + 7x = 288

12x = 288

x = 24

The largest number is therefore 7 * 24 = 168

Step-by-step explanation:

If you live 1.5 miles from school and you walk at a rate of 3mph, when should you leave home in order to arrive at school by 9:00?

Answers

Answer is  8:30

Work Shown:

time = distance/speed

time = (1.5 miles)/(3 mph)

time = (1.5/3) hours

time = 0.5 hours

time = 30 minutes

It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.

Which of the following is a right triangle based on the given figure?

Answers

Answer:

BDE

Step-by-step explanation:

Simplify Exponents and Roots

Answers

The answer is A: 2 square root 2.

Someone help me it’s number 12
You need to find the x value

Answers

k(x)=34
k(34)=-5(34)+14
-5(34)+14=-156
I think

help with this please

Answers

Answer:

8

Step-by-step explanation:

we conformed the 8s by 4 and 3

NEED HELP JUST SEND ME QUESTIONS

Answers

What 2x2??(•ิ_•ิ)?hmmmm

A child has the magnet numbers 1 through 50 on their fridge. What is the probability that the child will choose a number that is not a multiple of 9?

Give your answer in fraction form.

Answers

Answer:

9/10

Step-by-step explanation: the magic mushroom said so

what is the value of x?

Answers

Answer:

132

Step-by-step explanation:

corresponding angles are the same

100 points please help will give brainliest

Answers

Answer:

The two angles ADB and BDC are congruent since they are both right angles.

The segment AD and CD are congruent since D is the midpoint of AC.

Segment BD is in common for the two triangles.

The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED

If we identify the points as follows, what are
the inputs to the slope formula?
(-1, -2) and (3, 0)

Answers

Answer:

B

Step-by-step explanation:

Answer:

it is -2

Step-by-step explanation:

i got it right

Integrated project 4

Answers

Answer:

what about the integrated project please

PLEASE HELP DUE NOW!!

Answers

Answer:

✓ C. f(x)= sqrt 1/x

Step-by-step explanation:

i hoep this answer your question

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 18 feet and a height of 15 feet. Container B has a diameter of 16 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.

To the nearest tenth, what is the percent of Container A that is full after the pumping is complete?

Answers

Answer:

5.2%

Step-by-step explanation:

Volume of cylinder= πr²h

In Container A,

D= 18ft, r=18/2=9ft, h=15ft

volume= 22/7 × 9² × 15

= 26730/7 cubic ft.

In Container B,

D=16ft, r= 16/2=8ft, h=18ft

volume= 22/7 × 8² × 18

= 25344/7 cubic ft.

percent of amount of water left in Container A= percent of container A that is full after pumping

Amount of water left in Container A,

26730/7 - 25344/7 = 1386/7

Therefore, % of container A that is full= 1386/7 ÷ 26730/7 × 100

(1386×7×100)/(7×26730)= 5.185

To the nearest tenth= 5.2%

Lila earns 2,725,98 per month how much money does she have left after paying all these bills
Rent 1,250,00 groceries 325,78 electricity 55,27

Answers

Answer:

$1,094.93

Step-by-step explanation:

The income is how much money you make. You lose the money you spend. To find how much money you have left, just subtract the income with everything you spent.

This means the final answer is: 2725.98 - (1250.00 + 325.78 + 55.27) = $1,094.93

I been on this for days and no one can give me a right answer ​

Answers

Answer:

2x²=6x-5= x=3+i/2

-x²-10x=34= x = -(5+3i)

Step-by-step explanation: 2x²=6x-5 and -x²-10x=34 are the answers

Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work
3x + y = -2
y = 2x +3

Answers

The substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation or elimination method.

From the information given;

3x + y = -2      ----- (1)

y = 2x +3        ----- (2)

By using substitution method, we will replace the value of equation (2) into equation (1), by doing so, we have:

3x + (2x + 3) = -2

3x + 2x + 3 = -2

5x + 3 = -2

5x = -2 - 3

5x = - 5

x = -5/5

x = -1

From equation (2), let's replace the value of x = - 1 into equation (2);

y = 2x + 3

y = 2(-1) + 3

y = -2 + 3

y = 1

Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

Learn more about substitution method here:

https://brainly.com/question/14619835?referrer=searchResults

Help me please, thank you very much.

Answers

Answer:

8.9274

Step-by-step explanation:

you need to square both sides then add it together and then find the square root of the new number

Which of the following is a correct interpretation of the expression 3+(-7)
Thanks

Answers

[tex]\huge\underline\mathtt\colorbox{cyan}{3-7}[/tex]

Step-by-step explanation:

The correct interpretation of 3+(-7) is 3-7, simply

Answer:

The answer will be

3+(-7)

The sum of positive and negative is negative

So 3+(-7) is 3-7

= -4

Step-by-step explanation:

Hope it helps

Please Mark as brainliest

An auditorium has 72 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 2 more seats than the previous row. How many seats are in the 24 th row

Answers

The number of seats on the 24th row is 3220.

The number of chairs in the 24th row is a function of the rate at which the chairs increase and the number of rows. The formula that can be used to determine the number of seats on the 24th row is:

P x [r x (n - 1)]

Where:

P = number of seats on the first row = 72r = rate of growth of the seats = 2n = number of the row = 24

70 x [2x  (24 - 1)]

70 x  (2 x 23)

= 70 x 46

= 3220

A similar question was answered here: : https://brainly.com/question/18760477

THE LENTH OF A RECTANGLE IS 6 CM AND ITS AREA IS (6XPLUS18) SQUARCM WRITE A EXPPRESIONFOR THE WIDTH

Answers

[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]

my bro has homework and he needs help but I don't have the time to help him

Answers

Answer: 25

Step-by-step explanation:

Subtract 46.50 - 46.25 and you’ll get 25


2. If Jordan's section contains 35 rows, how many seats are in her section?
seat(s)

Answers

Answer:

5

Step-by-step explanation:

If ^ ABC ≈ ^ DEC, what is the value of x?

Answers

Answer:

D. x=1

Step-by-step explanation:

4x-1=x+2

you cancel out the 1 by adding it to both sides so then it will be 4x=x+3

then subtract x by both sides then it will be 3x=3

then simplify then it will be x=1

Given [tex]cot(\alpha )=-\sqrt{3}[/tex] and [tex]\pi/2 \ \textless \ \alpha \ \textless \ \pi[/tex], find the exact values of the five remaining trigonometric functions:
1. [tex]sin(\alpha )[/tex]
2. [tex]cos(\alpha )[/tex]
3. [tex]tan(\alpha )[/tex]
4. [tex]csc(\alpha )[/tex]
5. [tex]sec(\alpha )[/tex]

Answers

Immediately, by definition of cotangent, we find

tan(α) = 1/cot(α) = 1/(-√3)

⇒   tan(α) = -√3

Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.

Recall the Pythagorean identity,

cos²(α) + sin²(α) = 1

Multiplying both sides by 1/sin²(α) recovers another form of the identity,

cot²(α) + 1 = csc²(α)

Solving for csc(α) above yields

csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4

⇒   csc(α) = 2

⇒   sin(α) = 1/2

Solve for cos(α) using the first form of the Pythagorean identity:

cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)

⇒   cos(α) = -√3/2

⇒   sec(α) = -2/√3

The library had 201 shelves of books. Each shelf had 12 books. Librarians checked out 809 books to students. How many books does the library have remaining?

Answers

We can multiply 201*12 to figure out how many books the library has. This gives us 2412. 2412 - 809 is 1603.

The library has 1,603 books remaining.

Answer:

Mr. Pham should expect about 45165 books to have no damage or minor damage.

What is the equation, in point-slope form, for a line that goes through (2, – 6) and has a slope of -3/4?

y-6 = 3/4 (x-2)

y–6=-3/4(x+2)

y+6= -3/4 (x+2)

y+6= -3/4 (x– 2)

Answers

Answer:

y+6=-3/4(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=-3/4(x-2)

y+6=-3/4(x-2)

Find the slope of the line.

Answers

Y=Mx+b. M refers to slope, which is rise over run. The rise (up and down movement) is -1 (because it goes down 1 to reach the next exact graph point). The run is 1 (because it moves 1 unit right to each the next exact point on the graph). The slope is -1/1, or just -1. B refers to the y intercept, which is the point where the graph hits the y axis. In this case. The y intercept is (0,3), or y=3. Your equation would then be y= -X+3
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