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2. In ATVW if VW is three meters longer than TV, TW
is 19 meters shorter than the sum of VW and TV,
and the perimeter of ATVW is 62 meters, find the length of VW.
20.75 m
15.75 m
25.5 m
21.75 m
None of the above

Answers

Answer 1

9514 1404 393

Answer:

  21.75 m

Step-by-step explanation:

The given relations tell us that ...

  VW = TV +3

  TW = VW +TV -19

  VW +TW +TV = 62

__

Solving the first equation for TW gives ...

 TV = VW -3

Substituting that into the second equation gives ...

  TW = 2VW -22

And using these expressions in the third equation, we have ...

  VW +(2VW -22) +(VW -3) = 62

  4VW = 87 . . . . . . . . collect terms

  VW = 21.75 . . . . . . divide by 4

The length of VW is 21.75 meters.


Related Questions

y=5px+5x2+p2 differential equation​

Answers

Answer:

Step-by-step explanation:

y=5px+5x2+p2

y=10p2x2p

Should I get my nose pierced??

Answers

Answer:

no...you can just use a clip on

Answer:

it's absolutely worth it. The pain of getting one isn't that bad, at least for me. It's just a quick pinch. It'll look so good. Just make sure you are also cleaning it.

Step-by-step explanation:

How many solutions are there to the equation below?
8(x-3) = 7x- 20

Answers

Answer:

x = 4 (ONE solution)

Step-by-step explanation:

This is a first order linear equation, so we can expect 1 solution.

Multiplying out the left side, we get:

8x - 24 = 7x - 20, which simplifies to:

x = 4 (ONE solution)

If you drive at a constant speed of 60 miles/hour find the time it would take to travel each of the distances in the following chart. Here are the formulas:

d = s ⋅t

or

t = ds

a. Find the time for each distance. Show your work for at least one trial.

Distance in Miles Time in Hours
10
20
30
40
50
60
b. Graph the points and label the axis



c. What does this graph mean?

Answers

Answer:

b bc it is i got it right

Step-by-step explanation:

Sam is proving the product property of logarithms.

Answers

Answer: c

Step-by-step explanation: edge 2021

w= 2hx - 11x Solve for X. Please and Thank you

Answers

Answer:

[tex]{ \tt{ w = 2hx - 11x}} \\ \\ { \bf{w = x(2h - 11)}} \\ \\ { \bf{x = \frac{w}{2h - 11} }}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = \frac{w}{(2h - 11)} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]w = 2hx - 11x[/tex]

[tex]✒ \: w = x \: (2h - 11)[/tex]

[tex]✒ \: x = \frac{w}{(2h - 11)} [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

What is the midpoint of the line segment connecting the points (-4, 5) and (4,7)?

Answers

Answer:

(0,6)

Step-by-step explanation:

Answer:

(0,6)

Step-by-step explanation:

We need to find the midpoint of the line segment having end points (-4,5) and (4,7). So, here we can use the Midpoint Formula :-

Points :- (-4,5) and (4,7).

Using Midpoint Formula ,

[tex]\rm\implies Midpoint =\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)[/tex]

Substitute the respective values ,

[tex]\rm\implies Midpoint =\bigg(\dfrac{-4+4}{2},\dfrac{7+5}{2}\bigg)[/tex]

Simplify the numbers ,

[tex]\rm\implies Midpoint =\bigg(\dfrac{0}{2},\dfrac{12}{2}\bigg)[/tex]

This equals to ,

[tex]\rm\implies \boxed{\blue{\rm Midpoint =\bigg( 0,6\bigg)}}[/tex]

Hence the midpoint is (0,6) .

A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50. Lin has $300 to spend on renting the hall for a fundraiser.Using only the money she has, can Lin pay for a 6 hour event? Explain or show your reasoning.

Answers

Answer:

No, 6 hours would cost $335, 35 over her limit of $300.

Step-by-step explanation:

she has to pay $200 plus 22.50 for every hour she rents. So, if she rents for 6 hours, she has to pay $200 + 6(22.50) or $200 + 135=335. She only has $300 so she can’t afford the event.

The measures of the angles of the triangle are 32°, 53º,
950. Based on the side lengths, what are the measures
of each angle?
m2A = 95°, mZB = 53º, mZC = 32°
MZA= 32º, mzB = 53º, mZC = 95°
MZA= 43º, mZB = 32°, m2C = 95°
OmZA= 53º, m B = 95°, m2C = 32°

Answers

Answer:

m∠A = 32°

Step-by-step explanation:

8^2 = 12^2 + 15^2 - 2*12*15*cosA

Answer:

B

Step-by-step explanation:

did it on edge

What is the probability of randomly selecting a prime number from the first 30 natural numbers?
A. 11/30 ≈ 36.67%
B. 13/30 ≈ 43.33%
C. 1/3 ≈ 33.33%
D. 12/30 = 40%

Answers

Answer:

33.33%

Step-by-step explanation:

Prime numbers from 1 to 30 are 2,3,5,7,11,13,17,19,23,29.

So There are 10 prime numbers

Therefore,

P(of randomly selecting a prime number from the first 30 natural numbers)=10/30= 1/3 = 33.33%

Please help me with the correct answer

Answers

Answer:

50 books were sold

Step-by-step explanation:

there are 5 books in the Red Crow row, and each book is worth 10 sold.

So one book () is 10 books.
Red Crow has 5 . 5*10=50.
50 Red Crow books were sold

Match the statement using the diagram

Answers

9514 1404 393

Answer:

  d, b, c, a, e

Step-by-step explanation:

The order of the letters in the congruence statement tells you ...

  ΔQOP ≅ ΔABC

  ∠Q ≅ ∠A

  ∠O ≅ ∠B ≅ 115°

  ∠P ≅ ∠C

  QO ≅ AB = 5 m

  OP ≅ BC = 8 m

  PQ ≅ CA

(4x+ 5 = 20
Which best describes the circled part of the statement?
Expression
Coefficient
Term
Variable

Answers

Answer:

B) Coefficient.

Step-by-step explanation:

The coefficient is the numerical constant in the given term.

For example, the given term is 4x, in which:

4 is the coefficient.

x is the variable.

5 is the constant.

20 is another constant.

~

If a and b are zeroes of the x2 + 7 x+7, find the value of a−1+b−1−2ab.

Answers

9514 1404 393

Answer:

  -15

Step-by-step explanation:

If 'a' and 'b' are zeros of the quadratic f(x), its factored form is ...

  f(x) = (x -a)(x -b)

and its standard form is ...

  f(x) = x^2 -(a+b)x +ab

This tells us that ...

  a+b = -7

  ab = 7

for the given quadratic.

Then the expression of interest is ...

  [tex]a^{-1}+b^{-1}-2ab=\dfrac{1}{a}+\dfrac{1}{b}-2ab=\dfrac{a+b}{ab}-2ab\\\\=\dfrac{-7}{7}-2\cdot7=-1-14=\boxed{-15}[/tex]

the sum of three consecutive even number is 27​

Answers

even is impossible but 3 consecutive numbers is 8,9,10

GIVING OUT BRAINLIEST HELP ME PLEASE !! PLS 10 PTS

Answers

Answer:

x2+y2-12x24y+36=36.

2

+

y

2

12

x

+

18

y

=

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x^2-12x+36) + (y^2-24y+144-144) = 0

(X-6)^2 + (y-12)^2=144

Solve the system 6x -2y+z= -2 2x+ 3y - 3z =11 x+ 6y=31

Answers

Answer:

x = 1

y = 5

z = 2

Step-by-step explanation:

System of equations:

6x - 2y + z = -2

2x + 3y - 3z = 11

x + 6y = 31

Isolate one variable in any of the equations:

x + 6y = 31

x = 31 - 6y

Plug in this value for x in another equation:

6(31 - 6y) - 2y + z = -2

186 - 36y - 2y + z = -2

186 - 38y + z = -2

-38y + z = -188

z = -188 + 38y

Plug in these values in the remaining equation:

2(31 - 6y) + 3y - 3(-188 + 38y) = 11

62 - 12y + 3y + 564 - 114y = 11

626 - 12y + 3y - 114y = 11

626 - 9y - 114y = 11

626 - 123y = 11

-123y = -615

y = 5

Plug in value of y into our other answers to solve for x and z:

x = 31 - 6(5)

x = 31 - 30

x = 1

z = -188 + 38(5)

z = -188 + 190

z = 2

Check your work:

6x - 2y + z = -2

6(1) - 2(5) + 2 = -2

6 - 10 + 2 = -2

-4 + 2 = -2

-2 = -2

Correct!

*Note there are several ways to solve for these types of problems. I used substitution*

Imara used these steps to find the length of the hypotenuse of the right triangle.

3 squares are positioned to form a right triangle. The small square is labeled 15, medium square is 20, and large square is not labeled.

Step 1: Find the area of the square with side lengths of 20: 400
Step 2: Find the area of the square with side lengths of 15: 225
Step 3: Find the sum of the areas of the two squares: 625
Step 4: State the length of the hypotenuse: 625

Answers

Answer:

C, "She could have found the sum of 15 and 20 and then squared the sum."

Step-by-step explanation:

I just took the test on Edge :)

The answer is C, I got it right on edge.

Have a nice day everyone <3.

how to write 403.225 in words and how do i get the answer. Thanks!!!!

Answers

Four-hundred three and two-hundred twenty five thousandths

The four is in the hundreds place and the three is in the ones so you pronounce it four-hundred three. The five is in the thousandths place and the second two is in the hundredths place so it’s pronounced two-hundred twenty five thousandths. And you always say “and” to represent your decimal.

Which input value produces the same output value for the two functions


X=-12
X=-9
X=-6
X=-3

Answers

X= -6

Please mark brainliest

An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the infestation and found that 127 trees were affected. what is the value of the z-test statistic?

Answers

Answer:

The value of the z-test statistic is [tex]z = 0.68[/tex]

Step-by-step explanation:

An article claims that 12% of trees are infested by a bark beetle.

At the null hypothesis, we test if the proportion is of 12%, that is:

[tex]H_0: p = 0.12[/tex]

At the alternative hypothesis, we test if the proportion is different of 12%, that is:

[tex]H_1: p \neq 0.12[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.12 is tested at the null hypothesis:

This means that [tex]\mu = 0.12, \sigma = \sqrt{0.12*0.88}[/tex]

A random sample of 1,000 trees were tested for traces of the infestation and found that 127 trees were affected.

This means that [tex]n = 1000, X = \frac{127}{1000} = 0.127[/tex]

What is the value of the z-test statistic?

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.127 - 0.12}{\frac{\sqrt{0.12*0.88}}{\sqrt{1000}}}[/tex]

[tex]z = 0.68[/tex]

The value of the z-test statistic is [tex]z = 0.68[/tex]

Please help me steps please

Answers

to make it easier for you, kuta software has a y0ut0be channel and she posts all of the steps there! search up the name of the worksheet and it’ll be there


Explain how to translate the phrase into an algebraic
expression
a number squared decreased by ten

Answers

Answer:

I think the answer is 1^2 - 10

Which of the following graphs show a
proportional relationship?
Choose all answers that apply:

Help me please I only have 20min left to do this

Answers

Answer:

A

Step-by-step explanation:

the graph that is proportional is A

Solve the system of equations by substitution:
3n + 5m = 7
m - 4n = 6

Answers

Answer:

m=2, n=-1 or (2,-1)

Step-by-step explanation:

Hi there!

We're given this system of equations:

3n+5m=7

m-4n=6

we want to solve by substitution; in one equation, we'll set one variable to equal an expression containing the other variable, substitute that expression as the variable into the other equation, solve for the variable substituted, and use the value of that variable to find the other variable

First, let's get the expression we'll substitute into the other

let's use m-4n=6 as it has 1m (m by itself)

add 4n to both sides

m=4n+6

now substitute 4n+6 as m into 3n+5m=7 to solve for n

3n+5(4n+6)=7

do the distributive property

3n+20n+30=7

combine like terms

23n+30=7

subtract 30 from both sides

23n=-23

divide both sides by 23

n=-1

we found the value of n

now let's substitute -1 as n in m=4n+6 to find the value of m

m=4(-1)+6

multiply

m=-4+6

add

m=2

so the answer is m=2, n=-1. As a point, it's (2,-1)

Hope this helps! :)

Two angles are supplementary. One is 25° more than four times the other. Find the measures of the angles. ​

Answers

Answer:

100

Step-by-step explanation:

I believe it is this answer bur don't hold me to. If it is wrong I'm sorry in advance

Answer:

The two angles are 31° and 149°

Step-by-step explanation:

Let the two supplementary angles be , x and y.

         Then, x + y = 180° ----- ( 1 )

Given :  one is 25° more than 4 times other

           Let y = 25° + 4x ------ ( 2 )

Substitute ( 2 ) in  ( 1 ) :

     x + y = 180°

     x + 25° +4x = 180°

     x + 4x = 180° - 25°

           5x = 155°

             x = 31°

Substitute x in ( 2 ) :

            y = 25° + 4x

               = 25 + 4 ( 31 )

               = 25 + 124

               = 149°

Point D, not shown below, is one of the four (4) vertices of rectangle ABCD. Find its position and state the coordinate of point D.

Answers

Answer:

Hi im not got with graphs

Step-by-step explanation:

(Right angle Trigonometry) Please help me solve and explain!

Answers

Answer:

31.3

Step-by-step explanation:

Reference angle given = 56.1°

Hypotenuse = 56.1

Adjacent side = x = ?

We would apply CAH, which is:

Cos 56.1° = Adj/Hyp

Cos 56.1° = x/56.1

56.1 × Cos 56.1° = x

31.2895006 = x

x = 31.3 (approximated to the nearest tenth)

HW HELP ASAP PLZZzzzzzzzz

Answers

Answer:

Graph 4

Step-by-step explanation:

Eli will photograph a wedding for a flat fee of ​$880 or for an hourly rate of ​$120. For what lengths of time would the hourly rate be less​ expensive?
The hourly rate would be less expensive if the wedding was less than ___ hours long.

Answers

Answer:

7 hours

Just divide 880/120 = 7.3333333

So if 7*120 = 840

An hour more would be more expensive.

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