Point V is on line segment UW. Given VW = x, UV = 3x – 1, and
UW = 5x – 5, determine the numerical length of VW.

Answers

Answer 1

Answer:

4 units

Step-by-step explanation:

Since V lies on UW,

UV + VW = UW

[tex]3x - 1 + x = 5x - 5 \\ 5x - x - 3x = 5 - 1 \\ x = 4[/tex]

Therefore, VW = 4 units


Related Questions

Connor bought a baseball card eight years ago that has depreciated by $120 since he purchased it. Find the average yearly change in value of the card.

Answers

Answer:

The average yearly change in the value of the card is $15/year

Step-by-step explanation:

Here in this question, we are interested in calculating the average yearly change in the value of the card.

From the question, we can see that the value of the baseball card has depreciated by $120, thus we simply want to calculate the average yearly charge in the card value.

Mathematically, that would be ;

the total depreciation value/ number of years

From the question, the total depreciation value is $120 while the number of years is 8

Thus; the average yearly change in value of the card = 120/8 = $15/year

what number set does 24 belong to?

Answers

Answer:

even numbers

Step-by-step explanation:

its latter digit is divisible by 2

Even number is the answer


Changes to the cities and the environment:

1) List some ways in which the Tokugawa Shogunate strengthened Japan's economy.


2) How did rice production change?


3) Why were more roads required around Edo as the city grew?


4) Why was timber such an important resource in medieval Japan?


5) Describe the environmental policies introduced to protect forests and change the way timber was harvested.


6) Write a paragraph to explain, in broad terms, the impact that the Tokugawa shogunate had on Japan.​

Answers

Answer:

Sorry i don't really know all of the question but I hope the ones I know help.

Step-by-step explanation:

The second questions answers is:

The most significant change in rice production technologies started from 2000 to 2013 and it was the introduction and adoption of new rice seed varieties. Southern rice producers increased it by planting Hybrid and non-genetically modified herbicide.

The third questions answer;

more roads were required cause Edo grew into a huge city with a lot of buildings and they needed road.

The fourth question answer; timber was important cause it was used to supply construction needed for the growing of population in the peaceful time. some places like the Shogun Leyasu and many of the Daimyo started building huge castles and templates to show their power to each other.

What is the answer to this

-5 + 7

Answers

2.


-5+7 is basically 7-5. So since they are equivalent equations they will equal the same thing. 2.

What’s the 10th term in 1,4,6,10

Answers

Answer:

Step-by-step explanation:

Feb 8, 2017 - an=12n(n+1). Explanation: These are recognisable as triangular numbers, but let's use a general method for finding matching polynomial ...

1 answer

A number is five less than one fourth of itself​

Answers

Answer:

x = 1/4x - 5

Step-by-step explanation:

Step 1: Translate from word to math

A number = x

five less = -5

one-fourth = 1/4

of itself = x

Step 2: Combine

x = 1/4x - 5

How do I solve equations bt extracting square roots?
Ex.
[tex]3(x + {4)}^{2} = 8[/tex]

Answers

Answer:

[tex]x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4[/tex]

Step-by-step explanation:

[tex]3(x+4)^2 =8\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3\left(x+4\right)^2}{3}=\frac{8}{3}\\\\Simplify\\\left(x+4\right)^2=\frac{8}{3}\\\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}\\g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+4=\sqrt{\frac{8}{3}}:\\\quad x=\frac{2\sqrt{6}}{3}-4\\\\\\\mathrm{Solve\:}\:x+4=-\sqrt{\frac{8}{3}}:\\\quad x=-\frac{2\sqrt{6}}{3}-4\\[/tex]

[tex]x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4[/tex]

A farmland is 30cm long and 15cm wild what is the area of the farmland

Answers

Step-by-step explanation:

length(l)= 30cm

Breadth(b)=15cm

Area=l×b

=30×15

=450cm^2

it is 30 then 15 cm long its mean 45 answer

what 5 times a number b is

Answers

Answer:

2.5 x 2 = 5 Hope That Is What Your Looking For

Answer:

5b

Step-by-step explanation:

5 times number b is 5 * b.

In math, we can shorten the writing of a multiplication by a variable by not writing the multiplication sign.

5b means 5 * b

Answer: 5b

A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars, lower-deck seats sell for 8 dollars, and upper-deck seats sell for 5 dollars.If all the seats are sold, the total revenue for a game is 70000 dollars.The stadium has 4 times as many upper* deckseats as box seats.How many lower-deck seats are in the stadium?

Answers

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = [tex]x[/tex]

Let number of lower deck seats = [tex]y[/tex]

Let number of upper deck seats = [tex]z[/tex]

As per question statement:

[tex]x+y+z=10000[/tex] ...... (1)

Cost for box seat = $10

Cost for [tex]x[/tex] box seats = 10[tex]x[/tex]

Cost for lower deck seat = $8

Cost for [tex]y[/tex] lower deck seats = 8[tex]y[/tex]

Cost for lower deck seat = $5

Cost for [tex]z[/tex] lower deck seats = 5[tex]z[/tex]

As per question statement:

[tex]10x+8y+5z=70000[/tex] ..... (2)

[tex]z = 4x[/tex] ..... (3)

Putting value of [tex]y[/tex] in (1) and (2):

[tex]x+y+4x=10000\\\Rightarrow 5x+y=10000[/tex] ....... (4)

[tex]10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)[/tex]

8 [tex]\times[/tex] (4) - (5):

[tex]10x =[/tex]10000

[tex]\Rightarrow x = 1000[/tex]

By (3):

[tex]z = 4000[/tex]

Now, by equation (1):

[tex]y[/tex] = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

solve a/3 + 4 = 6
a=

Answers

Answer:

a = 6

Step-by-step explanation:

Given

[tex]\frac{a}{3}[/tex] + 4 = 6 ( subtract 4 from both sides )

[tex]\frac{a}{3}[/tex] = 2 ( multiply both sides by 3 to clear the fraction )

a = 6

Answer:

a=6

Step-by-step explanation:

a/3=6-4

a/3=2

a=6

Find the measures of the angles of a triangle if the measure of one angle is three times the measure of a second angle and the third angle measures 3 times the second angle decreased by 30.

Answers

Answer:

90°,30°,60°

Step-by-step explanation:

hope it helps

Use inductive reasoning to determine the next three terms in the sequence. 3, -6, 12, -24, 48,

Answers

Answer:

The next three terms in this sequence will be, -96, 192, and -384.

Hope this helped have a blessed day

Step-by-step explanation:

what is 1/8 plus 4/5

Answers

Answer: 37/40

=1/8+4/5= 5+32/40
=37/40

Please explain also​

Answers

Answer:

300 m^2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask =)

A triangle has side lengths of (6.4c-2.5)(6.4c−2.5) centimeters, (8.7c-7.8)(8.7c−7.8) centimeters, and (6.4d-1.2)(6.4d−1.2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

15.1c + 6.4d - 11.5

Step-by-step explanation:

Given the following :

Lengths of the side of a triangle :

(6.4c-2.5) centimeters

(8.7c-7.8) centimeters

(6.4d-1.2) centimeters

Assume the sides Given are labeled A, B and C respectively,

The perimeter of a triangle is related vyvtge formula :

Perimeter = (A + B + C)

Perimeter = (6.4c - 2.5) + (8.7c - 7.8) + (6.4d - 1.2)

= (6.4c - 2.5) + (8.7c - 7.8) + (6.4d - 1.2)

= 6.4c - 2.5 + 8.7c - 7.8 + 6.4d - 1.2

= 6.4c + 8.7c + 6.4d - 2.5 - 7.8 - 1.2

= 15.1c + 6.4d - 11.5

Solve for x

x to the power of 2 = 1/4

Answers

The answer is above is just the prior knowledge to understand this and to know this is understand X is a metal volume

k (n) = 4n – 4; Find k (8)
28
4
-32
-24
The answer

Answers

Answer:

Step-by-step explanation:

k(8) = 4(8) - 4

     = 32 - 4

     = 28

answer is A

Someone help please! I really need to finish this today.

Answers

Answer:

             m∠E = 43°

Step-by-step explanation:

AB║CD  ⇒  m∠AGH  = m∠CHF = 119°   {corresponding angles}

m∠BGE = m∠AGH = 119°     {vertical angles}

m∠BGE + m∠B + m∠E = 180°     {sum of angles in triangle}

119° + 18° + m∠E = 180°

m∠E = 180° - 137° = 43°

In 3x² - x + 5 = 0, what is the quadratic term

Answers

Step-by-step explanation:

Quadratic term = Coefficient of x^2 term = 3.

the answer would be x squared for this equation

The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d?

Answers

Answer:

9km

Step-by-step explanation:

If the distance on the map of 8cm between her house and school is equal to 12km actual distance. This means that each cm on the map represent 1.5km in actual distance (12/8=1.5).

This means that D is equal to 9km actual distance, because if each cm represents 1.5km, then 6 cm represents 9km (6x1.5=9).

Hope this helped!

Answer:

       B

Step-by-step explanation:

9 km

Your school's drama club charges $10 per person for admission to a play. The club borrowed $400 to pay for costumes and props. After paying back the loan, the club has a profit of $100. Write an equation. Let x represent the number of people who attended the play.

Answers

Answer:

10x + 400 - y = 100

Step-by-step explanation:

Answer:

50 people came to the play

Step-by-step explanation:

Let x be the amount of people that attended the play

10x=400+100

10x=500

divide by 10 on both sides

50 people came to the play

400+100=500

40 people is $400 for the props

10 people makes $100

Hope this helps :-)

Simplify the expression: y9 * y-2

Answers

Answer:

[tex]y^7[/tex]

Step-by-step explanation:

If we want to simplify the expression [tex]y^9 \cdot y^{-2}[/tex], we have to note that exponent rules state that [tex]x^a \cdot x^b = x^{a+b}[/tex].

This means that if we add the exponents, that will be what we raise y to the power of.

[tex]9 + -2 = 9-2 = 7[/tex]

So [tex]y^7[/tex].

Hope this helped!

find the light of the third side

Answers

Answer:

I'm not sure if this is what your looking for but the answer should be √11

Step-by-step explanation:

its in the picture....

please do give me brainliest if i was able to help you.

thank you and have a good day

Heather is putting together a square bulletin board for her new room, and the area of the bulletin board is 196 cm2. What is the total distance around the bulletin board?

Answers

Answer:

the total distance is 56 cm

Step-by-step explanation:

Given that the area of the bulletin board is 196 cm^2

Based on this, the total distance around the bulletin board is

But before that we need to find out the side

As the area of square is

= side^2

196 = side^2

So side = 14

Now there are four sides, so the total distance is

= 4 × 14

= 56 cm

Hence, the total distance is 56 cm

Answer:

56 cm

Step-by-step explanation:

Solve the equation 8x
- 5 = 7.​

Answers

X = 12 / 8 = 1.5
Mark as branliest

Answer:

[tex]8x - 5 = 7[/tex]

[tex]8x = 7 + 5[/tex]

[tex]8x = 12[/tex]

[tex]x = \frac{12}{8} [/tex]

[tex]x = \frac{3}{2 } \: or \: 1.5[/tex]

Which expressions are equivalent to 4(4a + 5) ? 3 answers ​

Answers

Answer:

16a+20

Step-by-step explanation:

4(4a+5) -----Distributive property

16a+20

Hope this helps ;) ❤❤❤

whats bigger 0.32 or 1/4??

Answers

Answer:

0.32 is bigger

Step-by-step explanation:

change 1/4 to decimal

can I get brainliest

Answer:

0.32

Step-by-step explanation:

Its bigger because if you turn 1/4 into a fraction it's 0.25

What is the length of NO?
N= (7,-4)
O=(-7,-4)

Answers

Answer:

I believe it would be 14.

Step-by-step explanation:

The distance between 7 and -7 should be 14.

The length of NO is 14 units

What is the length of NO?

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the length is given by:

d =√((x2 – x1)² + (y2 – y1)²)

We:

N= (7,-4) : x1 = 7 , y1 = -4

O = (-7,-4): x2 = -7 , y2 = -4

Using the formula with the given values:

d=√((-7 – 7)² + (-4 – (-4))²)

d=√((-14 )² + (0)²)

d=√196

d= 14

Therefore, the length of NO is 14 units

Learn more about the distance between two points on:

brainly.com/question/17704491

#SPJ6

help to! this is also due today !

Answers

Answer:

9.

Step-by-step explanation:

The square root of 81 is 9 so therefore the answer is 9.

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