please answer the file question

Please Answer The File Question

Answers

Answer 1

Answer:

  x = 15

Step-by-step explanation:

Corresponding sides have the same ratio:

  UV/PR = TV/QR

  (x +6)/14 = (x -3)/8

  4(x +6) = 7(x -3) . . . . . . multiply by 56

  4x +24 = 7x -21 . . . . . . eliminate parentheses

  45 = 3x . . . . . . . . . . . add 21-4x

  15 = x . . . . . . . . . . . .divide by 3

_____

Alternate solution

The long-side : short-side ratios for the two triangles are ...

  14 : 8 = (x +6) : (x -3)

If we look at the differences between the ratio numbers we see ...

  14 -8 = 6

  (x +6) -(x -3) = 9

That is, the numbers in the second ratio must be 9/6 = 3/2 times the numbers in the first ratio. In other words, ...

  x -3 = (3/2)(8) = 12

  x = 15

Check: x +6 = 3/2(14) ; 15 +6 = 21


Related Questions

Help help help help math math

Answers

Answer:

Oh It's Too Easy...

Step-by-step explanation:

By Pythagoras Theorem

a^2 + b^2 = c^2

7^2 + 5^2 = c^2

49 + 25 = c^2

74 = c^2

C = 74

Hopes that it will help u...

4y^3-9y=0 solve by factoring

Answers

Answer:

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]4y^3-9y=0[/tex]

[tex]y(4y^2-9)=0[/tex]

[tex]y(2y-3)(2y+3)=0[/tex] <-- Difference of squares

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]

Has a slope of -2/5 and goes through (-10,-1)​

Answers

Answer:

Below in bold.

Step-by-step explanation:

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

y - (-1)) = -2/5(x - -10)

y + 1 = -2/5(x + 10)

y  + 1 = -2/5x - 4

y = -2/5x - 5.

In standard form this is:

2x + 5y = -25.

Give an expression for f + g.
A. 12x3 + 16x2 - 6x -8
B. 4x2 + 3x + 2
C. 4x2 + 3x - 8
D. 12x3 + 16x2 - 6x​

Answers

Answer:

A)62x-8

B)11x+2

C)11x-8

D)62x

Step-by-step explanation:

12×3=36

16×2=32

36+32-6=62x-8

Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than the third shelf?

Answers

Using a system of equations, it is found that since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

For the system, we consider that:

x is the number of books on the first shelf.y is the number of books on the second shelf.z is the number of books on the third shelf.

In total, there are 152 books, hence:

[tex]x + y + z = 152[/tex]

The first shelf has 7 fewer books than the second shelf, hence:

[tex]x = y - 7[/tex]

Also, it has 11 more books than the third shelf, hence:

[tex]x = z + 11[/tex]

Then:

[tex]y - 7 = z + 11[/tex]

[tex]z = y - 18[/tex]

Then, replacing in the first equation:

[tex]x + y + z = 152[/tex]

[tex]y - 7 + y + y - 18 = 152[/tex]

[tex]3y = 177[/tex]

[tex]y = \frac{177}{3}[/tex]

[tex]y = 59[/tex]

The number of books in each shelf has to be countable, that is, cannot be decimal.

Then, since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

To learn more about system of equations, you can take a look at https://brainly.com/question/14183076

(a) 3 2. The seventh number in a sequence of numbers is 31 and each number after the first number in the sequence is 4 less than the number immediately preceding it. The 9th number in the sequence is: (b) 43 (c) 39 (d) 47​

Answers

Answer:

23 because its supposed to be 8 numbers less

PLEASE HELP!!!
Bob and Sue are 12 miles apart and moving toward each other. Bob is running at a constant speed of 5mph, and Jada walks at a constant speed of 3mph How long does it take until Bob and Sue meet?

Answers

Answer:

34 miles

Step-by-step explanation:

jn

SOMEBODY PLZ CHECK IF MY ANSWER ARE CORRECT NO LINKS PLZ AND THANK YOU

Answers

Answer:

the first one's right i think

I think there all right but I just started at that so… :)

What is the function rule for the line?

Answers

Answer: It is f(x)= -3/2x-2

Step-by-step explanation: f(x) is the same as y. The formula for a line is slope-intercept form (y=mx+b). The -2 is the y-intercept, and the line intercepts the graph at -2. The slope is -3/2 because it rises 3 and goes to the left -2.

I need help with this and i dont know how to do it

Answers

Answer:

  see attached

Step-by-step explanation:

In general, you plot the solution to an inequality by placing a dot at the bound, then extending a line in the direction indicated by the inequality.

If the inequality symbol is < or >, the dot will be an open circle.

If the inequality symbol is ≤ or ≥, the dot will be a solid dot. That is the kind of dot needed here.

The boundary (dot) location for x ≥ -8 is at -8 on the number line. The inequality indicates that values of x greater than that are in the solution set, so the line will be shaded to the right of the dot.

The boundary (dot) location for x ≤ -2 is at -2 on the number line. The inequality indicates that values of x less than that are in the solution set, so the line will be shaded to the left of this dot.

Since the values of x must satisfy both inequalities (the conjunction is "and"), the solution set is where the lines overlap—between -8 and -2 on the number line.

_____

Additional comment

I find it useful to write inequalities with the "arrow" pointing to the left. Here, the inequalities would be written ...

  -8 ≤ x and x ≤ -2

Note that x is in the middle when the far left number is less than the far right number. (-8 < -2). That means, the inequality can be written as the compound ...

  -8 ≤ x ≤ -2

When the inequalities are written in this way, with arrow(s) pointing left, the location of the variable relative to the constant is the location of the shaded line relative to the dot representing the constant. Here, the appearance of ...

  -8 ≤ x ≤ -2

effectively shows you that the number line is shaded between solid dots at -8 and -2.


Troy is buying a car that costs $15,000. He
plans to get a 5-year loan to pay for it. He
can get a loan for $15,000 or he can pay
$3,000 from his savings and get a loan
for the rest. The savings account pays 2%
simple interest per year. The simple interest
rate for the loan is 0.5% per year.
a. How much interest over a 5-year

Answers

Answer:

300/75

Step-by-step explanation:

Cost of the Car = $15,000

a) Rate of interest received on savings(r) = 2%

Amount in savings account(p) =$3000

Time period(t) = 5 years    

simple intrest.

Interest received on savings account = $300

b) Rate of interest on loan = 0.5%

IF P= 15000

intrest.

Difference between the interest = $75

c) Taking loan of the whole amount that is of $15,000 is more reasonable because though the interest is more but Troy will receive interest($300) from his savings account as well. But if he withdraws $3000 from savings and takes the loan for the rest of the amount, he would have no earnings.

whats the perimeter of a semi circle which's radius is 100cm

Answers

Answer:

257 cm

Step-by-step explanation:

hope this helps Please inform me when it hepls

and Please mark me as Brainlist

Which characteristics did early Japanese, Chinese, and Korean civilizations share?

They were friendly nations that shared culture and customs.
They were nations at war that shared a common religion.
They were neighboring countries that shared a common history.
They were countries with dissimilar culture and customs.

Answers

Answer:They were nations at war that shared a common religion.

Step-by-step explanation:

edge

Answer:

B. They were nations at war that shared a common religion.

Explanation: I got it right.

Tom is applying for a visa.
He has to pay £2,400 for the visa as well as a 8% charge on the visa price for an on-the-day service.
If Tom has 1 year to save, how much money should he save per month to be able to cover his costs?
Round your answer to the nearest £10.

Answers

Answer:

100

Step-by-step explanation:

The total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).

What is the amount?

" Amount is defined as the total of all the given quantities as per given conditions."

According to the question,

The amount required to pay for a visa [tex]= \£ 2,400[/tex]

Percentage charges on the visa price as day service[tex]= 8\%[/tex]

Amount as day charge  [tex]= 8\%[/tex] of [tex]2400[/tex]

                                        [tex]= \frac{8}{100} \times 2400\\\\= \£192[/tex]

The total amount required for a visa [tex]= \£ (2400 + 192)[/tex]

                                                             [tex]= \£ 2592[/tex]

Tom has one year to save,

Therefore,

Amount Tom save in one month  [tex]= \frac{2592}{12}[/tex]

                                                        [tex]=\£ 216[/tex]

                                                        ≈[tex]\£ 220[/tex] ( round to nearest [tex]\£ 10[/tex])

Hence, the total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).

Learn more about the amount here

https://brainly.com/question/13024617

#SPJ2

Malika knows that 230 - 39 = 191.
How can she use that to help her solve 233 - 42 = ?
Use the space and/or the lines below to answer.

Answers

Answer:

she has to minus just as she did before.

Step-by-step explanation:

230-39=191

233-42=191

the reason as to why they have the same answer is because it was first 230 but it later it was 233.so just minus as before.hope it will help goodbye

Answer:

See below

Step-by-step explanation:

She knows the answer is the same because both numbers are 3 higher than the other. She doesn't need to do anything.

A factory employs 1274 people across three departments. The second department employs 70 more people than the first department, and the third department employs 84 more people than the second department. How many people work in each department?


50 POINTS + BRAINILEST TO CORRECT ANSWER <3
also please show step by step if you can :D

Answers

Answer:

350

Step-by-step explanation:

Write out the equation

d + d + 70 + d + 154 = 1274

Simplify

3d + 224 = 1274

Solve

3d = 1050

d = 1050 / 3

d = 350

Answer:

350

No probelm

Suppose in the year 2000 the population of a country is 20 million. In the year 2010 the
population is now 24 million. If the growth of the population is exponential, approximate what the population would be in the year 2021.

Answers

Answer:

Grows by 2.4 million each year

Step-by-step explanation:

Help help math math math please

Answers

Answer:

x = 5

Step-by-step explanation:

2x+15 = 4x+5 (because they are corresponding angles)

10 = 2x

x = 5

Answer:

x = 5

Step-by-step explanation:

Solve the following inequalities. Graph the solution on a number line and express it in interval notation. You can use the back page for your solution. 26. x+47 > 36 27. x-8 -2x PLEASE HELP ME​

Answers

[tex]\\ \sf\longmapsto x+47>36[/tex]

[tex]\\ \sf\longmapsto x>36-47[/tex}

[tex]\\ \sf\longmapsto x>-11[/tex]

Graph attached

Find the area of the figure.

7cm

8cm

11cm


Area is ___ square cm?

Answers

Answer:

616cm³

Step-by-step explanation:

you just need to multiply those numbers

7 x 8 x 11= 616

[tex]\text{Perimeter of the triangle,}\\\\ 2s = 7 + 8 +11 =26}\\\\\\\implies s = \dfrac{26}2 = 13\\\\\\\text{Apply Heron's formula to find the area of the triangle,}\\\\A = \sqrt{s(s-8)(s-7)(s-11)}\\\\\implies A = \sqrt{13(13-8)(13-7)(13-11)}\\\\\implies A = \sqrt{780} \\\\\implies A = 27.93~~ \text{cm}^2[/tex]

Hello please help straight up answer I’ll give points thanks I’m just trying to pass

Answers

Answer:

I think it's 34°.

Step-by-step explanation:

The angle to the right of 3x+7 is the alternate interior angle to 2x+3, meaning that they are the same.

Now, that angle, 2x+3, and 3x+7, are on a line, which I'm assuming is a straight line with an angle of 180°. If it is, then (2x+3)+(3x+7)=180

Now you can solve for x.

2x+3+3x+7=180

5x+10=180

5x=170

x=34

Therefore, x=34°

Hope I helped!

Grandma Maude wanted a tall cake for her 80th birthday. The baker made a cake with 4x3 – x layers. Each layer was 2 + 3x2 cm. Which expression shows the total height of Grandma Maude’s cake?

Answers

Using proportions, it is found that the expression that shows the total height of Grandma Maude’s cake is:

[tex]t = 12x^5 + 5x^3 - 2x[/tex]

This question is solved by proportions, using a rule of three.The measure of one layer, in cm, was of [tex]2 + 3x^2[/tex]. In total, there were [tex]4x^3 - x[/tex] layers.

The rule of three is:

1 layer - [tex]2 + 3x^2[/tex] cm

[tex]4x^3 - x[/tex] layers - t cm

Applying cross multiplication:

[tex]t = (4x^3 - x)(2 + 3x^2) = 12x^5 + 5x^3 - 2x[/tex]

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:

12x5 + 5x3 – 2x cm

Step-by-step explanation:

Sandra signed up for the gym during the spring special.
Her credit card was charged $220.87. Is this the correct amount? Explain.
A sign that says workout jazz spring special. Sign up now and get 12 months for just 16 dollars and 99 cents per month asterisk. The asterisk is given as paid in advance.



No; the gym should have only charged Sandra $16.99.



No; the gym charged Sandra $16.99 less than it should have.



No; the gym charged Sandra $16.99 more than it should have.



Yes; the gym charged Sandra the correct amount.

Answers

Answer:

yes the gym charged Sandra the correct price

PLS HELP ME WITH GEOMETRY :0000

Answers

Answer:

GM = 18

Step-by-step explanation:

HJK is congruent to HKL (RHS congruency)

so, JK = KL

JK = 2

GHJ is congruent to MHL (SAS congruency)

so, GJ = LM

LM = 7

GM = 7 + 2 + 2 + 7 = 18

Choose the equation that is modeled by the graph below:

A - y=4x
B - y=−2.33333x+4
C - y=4x−2.33333
D - y=−42.33333x+4

Answers

Answer:

B - y=−2.33333x+4 I think

QRS is similar to XYZ.of QR=5,QS=7,and XY=30 find the value of XZ

Answers

QR is equal to XY so 30 divided by 5 is 6. So QS is also equal to XZ, multiply 7 by 6. The answer is 42

i will give you brainly if help

Answers

Answer:

i think its D im not sure tho

Step-by-step explanation:

HELP! I don't understand

Answers

Answer:

Step-by-step explanation:

Please hurry!! This assignment is almost due!!

Answers

Answer: x = 17

Step-by-step explanation:

Hi there!

First, since we know that these two lines are parallel, 3x+14 is going to be congruent to the supplementary side of 7x-4. Given this, we are able to solve for x as we know that the sum of supplementary angles is 180. All you have to do is set up 3x+14+7x-4=180

Now, just use simple order of operations and combining like terms to isolate x. you will end with 17! :)

Hope this helps!

For which value of x is line L parallel to line M?

Answers

Answer:

x=8

Step-by-step explanation:

5x+10+130=180

5x+140=180

5x=40

x=8

The answer would be 8
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