Point V is on line segment \overline{UW}
UW
. Given VW=5x-4,VW=5x−4, UV=2x,UV=2x, and UW=5x,UW=5x, determine the numerical length of \overline{VW}.
VW
.

Answers

Answer 1

Answer:

Vw=6

Step-by-step explanation:

Answer 2

The numerical length of VW is 16 units.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

For example 12 -2 = 10

Given VW = 5x-4,

VW = 5x−4,

UV = 2x, and

UW = 5x,

By segment addition postulate:  UV + VW = UW

Substituting expressions given for each:

⇒ 2x + 5x − 4 = 5x

⇒ 2x = 4

⇒ x = 4

So, VW = 5(4) - 4

VW = 20 - 4

VW = 16

Hence, the numerical length of VW is 16 units.

Learn more about the arithmetic operations here:

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Related Questions

Johnny filled a 5 gallon bucket with water. How many quarts of water does Johnny have?

Answers

Answer:

20 quarts

Step-by-step explanation:

Five gallons is equal to 20 quarts.

I hope it helps.

Answer:

20 quarts

Step-by-step explanation:

in 1 gallon there is 4 quarts so if theres 5 gallons there would be 4 quarts for each, so multiply 5 by 4, becuase you need 4 quarts in every gallon, the product (answer to a multiplication problem) to that is 20. :)

PLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table. ​

Answers

Answer:

(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)

Step-by-step explanation:

8y + 4y = 24 in function form some one please help 8th grade math

Answers

Answer:

y=2

Step-by-step explanation:

I think

it's been a while since I did functions

Answer:

the answer is y=2

Step-by-step explanation:

you add 8y+4y=12y

and then divide 12 on each side

which 24/12=2

Simplify the following polynomial expression (8x^2-7x+2)+(3x^2-9x-6) help fasttt!!!!!!!!!!!!!

Answers

Answer:

11x^2 - 16x +4

Step-by-step explanation:

In order to simplify, add like terms

(8x^2-7x+2)+(3x^2-9x-6)

8x^2 + 3x^2 = 11x^2

-7x + -9x = -16x

-6 + 2 = 4

now the equation is 11x^2 - 16x +4

Solve each equation. Check your solution.
3(n - 7) = -30

Answers

3(n-7)=-30
3n-21= -30
3n = -9
n= -3
i agree with n as -3 & 3(-3-7)=-30

Graph the line
y = - 4/3x + 3

I need help with the steps.

Answers

Start by putting a dot at (0,3). Then you just need to go four down and three right from that dot and put another dot. Just repeat that a couple times to make sure it is straight, and connect the dots with a line. You can also go four up and three left from the (0,3) for the other side of the axis.

Step-by-step explanation:

First look at the y-intercept or b (in this case it is 3)

The y-intercept tells us where the line touches in the graph on the Y-axis

(In this case you move up in the Y-axis 3 times)

Put a dot on 3 (in the y-axis)

Now from 3 on the y-axis go down -4 and right 3 since the slope is -4/3

(Slope = rise/run -4 is rise [but since it the 4 is a -4 you go down] and 3 is run)

every time you finish going down -4 and right 3 place a dot on it and repeat if you think you can draw a line then stop and draw the line and you are finished

Answer: (This is in Desmos.com)

Which table shows a proportional relationship between x and y?
х
7
14
o
28
35
у
2
4
5
X
1
4
7
o
3 5
у
2
CO
14
х
2.5
الم
5
6
o
y
5
6
10
15
1
2
3
4
O
4
10
12
у
16

Answers

The first table shows a proportional relationship between x and y.

Proportional relationship

A proportional relationship exist between two entities if an increase in one causes an increase in another or vice versa.

First table

x             y

7            28

14           35

Second table

x               y

1               2

4               4

7                5

The first table shows a proportional relationship between x and y, for every value of x, y increases by almost 2 times.

Learn more about proportional relationship here: https://brainly.com/question/2575222

-9h - 15 = 93 Need help. Not that good at solving two step equations. Algebra's tricky. Please solve.

Answers

Answer:

h=12

Step-by-step explanation:

first you want to isolate the variable. since you are subtracting 15, you wanna add fifteen to the 93 and cancel it out on the other side of the equation symbol. that equals 108. how since you are doing 9*h you divide on the opposite side of the equation so 108/9=12. the 9 cancels out meaning h=12

Help!! I need an answer asap!!

Given a∥b, find m∠1 = 71º.
Find: m∠5, m∠8

Answers

Answer:

m<5 = 71 and m<8 = 109

Step-by-step explanation:

m<1 is equivalent to m<5 and m<2 is equivalent to m<8.

Answer:

∠5 = 71°

∠8 = 109°

Step-by-step explanation:

∠1 = 71°

∠5 = 71°  (the same as ∠1 = 71°) its a corresponding angle

∠8 = 180 - ∠5

∠8 = 180 - 71

∠8 = 109°

Evaluate the function for the given value of x.

Answers

The answer is 32.
You essentially multiply 2 by itself 5 times.

Choose the one alternative that best completes the statement or answers the question

Answers

Answer:

whaat are you talking about coward

6y=3y-18 What is thee slope intercept and what is the slope​

Answers

Answer:

y = (1/2)x - 3

The slope is m = 1/2 and the y-intercept is (0, -3).

Step-by-step explanation:

Assuming that you meant 6y = 3x - 18, we solve this equation for y to obtain the slope-intercept formula y = mx + b for this particular case:

y = (3/6)x - (18/6), or

y = (1/2)x - 3

The slope is m = 1/2 and the y-intercept is (0, -3).

Is this correct??? Someone please help

Answers

Answer:

the line is inconsistent:)

Step-by-step explanation:

Yes it’s correct it’s inconsistent

What numbers lie between 42 square root

Answers

Answer:

√ 42  lies between  6  and  7

Step-by-step explanation:

We know that  √ 42  will lie between  √ 36  and  √ 49

And  √ 36 = 6  ;  √ 49 = 7

Hence we can be sure that  √ 42  lies between 6  and  7

what is Evaluate 3 × 5 to the 2 power?

Answers

Answer:

225

Step-by-step explanation:

3x5 is 15, 15 to the 2nd power is 225

The original Volkswagen Beetle follows
a quadratic curve, write an equation if
the height is 5 feet long and the length
is 14 feet long. Show your work in the
sketchpads below.

Answers

Answer:

[tex]y= -\frac{5}{49}x^{2}+5[/tex]

Step-by-step explanation:

In order to solve this, we need to start by drawing a sketch of what the problem looks like (see attached picture).

From the picture, we can see that the graph of the equation should be a parabola with a vertex located at the point (0,5) and x-intercepts located at (-7,0) and (7,0) respectively.

So, there are two ways in which we can build a quadratic equation:

Standard form:

[tex]y=ax^{2}+bx+c[/tex]

or

Vertex form:

[tex]y=a(x-h)^{2}+k[/tex]

Since we already have the vertex and two points on the equation, we can directly use the vertex form. Where vertex is located at the coordinates (h,k)

So in this case: h=0 and k=5, which simplifies our equation a lot:

[tex]y=a(x-0)^{2}+5[/tex]

[tex]y= ax^{2}+5[/tex]

So we only need to find the value of a for our equation to be complete. We can use either x-intercept to find this. Let's use the point (7,0) so we get:

[tex]0=a(7)^2+5[/tex]

and now we can solve for a:

[tex]-5=49a[/tex]

[tex]a=-\frac{5}{49}[/tex]

so this completes our equation:

[tex]y= -\frac{5}{49}x^{2}+5[/tex]

whose graph looks like the one in the attached picture.

please answer fast! teehee

Answers

Answer:

y = 9

Step-by-step explanation:

∆KLH is congruent to ∆FLH by the Hypotenuse-Leg Congruence Theorem.

Therefore,

m<KHL = m<FHL

Thus:

6y = 4y + 18

6y - 4y = 18 (subtraction property of equality)

2y = 18

y = 18/2 (division property of equality)

y = 9

Answer: teeheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Yo u soooo cool wannaaaaaa be be friends itsa song LOL..........

Ten thousand place is how many times the value of thousand

Answers

Answer:

thousands

Step-by-step explanation:

it is in the thousands places

|There is 1/2 of a liter of soda left after a class party. The 3 students on the clean-up crew are going
to split the soda equally. How many liters of soda does each student get?

Answers

Answer:

Each student will get 1/6 liters of soda.

Step-by-step explanation:

In order to do this, we need to divide 1/2 by 3.

All we had to do is multiply 2 by 3.

1/6 is smaller than 1/2, and because 6 is 2 x 3, it's 3 times smaller, or less.

Therefore, each student will get 1/6 liters of soda.

Hope this helps! :D

question is in png pls help me

Answers

Answer:

30 is the answer

Step-by-step explanation:

i hope it help you

Answer:

30 is the correct answer

hope it helps u dear ❤

Which of the following represents the greatest percent of change?

A. Boots that were originally priced at $90 are on sale for $63
B. A baby that weighed 7 pounds at birth now weighs 10 pounds
C. A bracelet that costs $12 to make is sold for $28
D. A savings account increased from $500 to $600 in one year

Answers

Answer:

c

Step-by-step explanation:

a. 63(new) - 90(old) =  -27 / 90 = 0.4285*100  = 42.9%

b. 10(new) - 7(old) = 3 / 7 = -0.3*100 = -30 = 30%

c. 28(new) - 12(old) = 14 / 12 = 1.166 * 100 = 116.6%

d. 600(new) - 500(old) = 100 / 500 = 0.2 = 20%

The greatest percentage change will be a bracelet that costs $12 to make and is sold for $28 as 133.33% thus option (C) is correct.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

% change = (change)/original x 100

A): (90 - 63)/90 x 100 = 30%

B): (10 - 7)/10 x 100 = 30%

C); (28 - 12)/12 x 100 = 133.33%

D):(600 - 500)/500 x 100 = 20%

Hence "The greatest percentage change will be a bracelet that costs $12 to make and is sold for $28 as 133.33%".

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What is 15/22 as a repeating decimal?

Answers

Answer:

0.6818

Step-by-step explanation:

0.6818 is the correct answer

PLEASEEEEE IM DESPITE Xd-
Anyone
Will mark branliest

Answers

Answer:

B 8.42 seconds

Step-by-step explanation:

421 in 50 seconds

421//50

8.42 seconds

Hope this helps!

Most likely B, because if you divide 421 and 50, you will get the inches per sec.

The amount of gasoline at a gas station change from 58432.4 gallons to 56495.2 gallons from 2 o'clock p.m. to 4 o'clock p.m. what rational number represents the average change in amount of gasoline per hour

Answers

Answer:

thanks 4 the points

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

A drought effects 9 out of 12
Midwestern states. What percent
of midwestern states are affected
by
the drought?

Answers

Answer:

You just have to divide 9 by 12 to get your answer of 75%

Answer:

75 %

Step-by-step explanation:

Simplify. 3 x 25 4 X 25 100 Write the numerator with a percent symbol. So, 75% of the midwestern states are affected by the drought.

Rachel can walk 2.5 miles in 40 minutes at this rate how far can she walk in one hour

Answers

My answer~

3.75 miles

Explination~first you would start by finding out how many miles she walks in 1 minute by dividing 2.5 by 40

2,5 ÷ 40 =

0.0625

Then you would times that by 60, because 60 minutes equals 1 hour

0.0625 × 60 =

3.75

So, Rachel can walk 3.75 miles in 1 hour :))------------------------------------------------------------------------

Hope I helped!!

Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°
.

Answers

Answer:

The sum of all the external angles of a triangle is 360°.

Step-by-step explanation:

Let there are n sides in a polygon.

So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.

The measure of external angle corresponding to ∠i1,  ∠1= 180°-∠i1,

The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,

Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3  and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

                 =540°=180°

                 =360°.

Hence, the sum of all the external angles of a triangle is 360°.


Please help if u know

Answers

Answer:

(-3,0), (1,0),(-5,0)

Step-by-step explanation:

(-3,0), (1,10), (5,0)

Find the equation of the linear relationship

Answers

answer is 10---- i think

Answer:

y = -2x + 170

Step-by-step explanation:

(30, 110)    (40, 90)                          y = mx + b

x1      y1     x2    y2                         90 = -2 (40) + b

90  -  110 =   -20   =  -2                 90 = -80 + b

40  -  30        10                           +80   +80

                                                     170 = b

really hope this helps :)

Three numbers are in the ratio 2:3:4. What are the numbers if their sum is 72?

Answers

Step-by-step explanation:

2N+3N+4N=9N

9N=72

N=72/9

N=8 ANS

hope it helps!

.......

Answer:

16:24:32

Step-by-step explanation:

2+3+4 = 9

72÷9 = 8

One part of the ratio is therefore worth 8.

8 x 2 = 16

8 x 3 = 24

8 x 4 = 32

16:24:32

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