Point W is on line segment \overline{VX} VX . Given VX=4x,VX=4x, VW=3x,VW=3x, and WX=5,WX=5, determine the numerical length of \overline{VX}. VX .

Divide by the amount of consecutive numbers (4 in this instance)

It will be within a small range of those numbers

ex. The sum of 3 consecutive even integers is 24.

24/3 =8

Now guess and check

4+6+8=18 that's not 24 so don't add 4 instead on the other side of 8 put 10

6+8+10=24

Do roughly the same thing

All four consecutive even integers are;

-226 , -224 , -222 , -220

What is Integers?

An integers is a whole number which can be positive, negative or zero.

Given that;

Sum of four consecutive even integers is -892.

Let four consecutive even integers are;

2x , 2x + 2 , 2x + 4 and 2x + 6

Since, Sum of four consecutive even integers is -892.

Hence, We can formulate;

2x + 2x + 2 + 2x + 4 + 2x + 6 = -892

8x + 12 = -892

Subtract 12 both sides,

8x + 12 - 12 = -892 - 12

8x = -904

Divide by 8,

x = -904 / 8

x = - 113

So, All four even numbers are;

2x = 2 × -113 = -226

2x + 2 = -226 + 2 = -224

2x + 4 = -226 + 4 = -222

2x + 6 = -226 + 6 = -220

Thus, All four consecutive even integers are;

-226 , -224 , -222 , -220

Learn more about the integers visit:

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Answer:

∠2

Step-by-step explanation:

Vertical angles are angles that are opposite to each other. since ∠2 is opposite of ∠5, ∠2 is the answer

Hope this helps :)

Step-by-step explanation:

11/4 then reduce

2 3/4

because 11/4 is just like saying 11 divided by 4

Answer:

2.75

Step-by-step explanation:

Make a division plane

Answer:

-5

Step-by-step explanation:

Answer:-8

Step-by-step explanation:-2 x 2 = -4, -2 x 3 = -6

-4x - -6, -4 x -8 = 32. 32- -6 = 26

:)

4 elephants

20 monkeys

6 zebras

//

z - 2 = elephants

(6) - 2 = 4 elephants

5(e) = monkeys

5(4) = 20 monkeys

20 + 4 + 7 = 30

Answer: At point ([tex]-\frac{1}{2},-\frac{1}{2}[/tex])

Step-by-step explanation: Diagonal is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.

In other words, the diagonals of a square meet at their midpoint, which is found as the following:

(x,y) = [tex](\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})[/tex]

The opposite vertices of the given square are (-2,6) and (1,-7).

So, the intersection is

(x,y) = [tex](\frac{-2+1}{2} ,\frac{6-7}{2})[/tex]

(x,y) = [tex](-\frac{1}{2},-\frac{1}{2} )[/tex]

The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point [tex](-\frac{1}{2},-\frac{1}{2} )[/tex].

Answer:

6,560

Step-by-step explanation:

Answer:

6,560

Step-by-step explanation:

We are given the first four terms of the sequence:

2, 6, 18, 54, ...

We need to find another four terms to find the sum.

I don't know how to explain how I got the pattern but you have to multiply by 3:

2 * 3 = 6

6 * 3 = 18

18 * 3 = 54

To find the next term, we will multiply 54 by 3:

54 * 3 = 162

2, 6, 18, 54, 162, ...

We now have 5 terms.

Next, multiply 162 by 3:

162 * 3 = 486

2, 6, 18, 54, 162, 486, ...

We now have 6 terms.

Next, multiply 486 by 3:

486 * 3 = 1458

2, 6, 18, 54, 162, 486, 1458, ...

We now have 7 terms.

Lastly, multiply 1458 by 3:

1458 * 3 = 4374

2, 6, 18, 54, 162, 486, 1458, 4374, ...

We now have the first 8 terms.

Now, we add all these numbers together:

2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 = 6560

The sum of the first eight terms of the geometric sequence is 6,560

Answer:

17 and 19

Step-by-step explanation:

Answer:

y = -3/4x + 4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1

Answer:

Simplify the expression=

− 3 x^ 2  +  2 x

It's the same thing in standard form.

Step-by-step explanation:

Answer:

-3x^2+2x

Step-by-step explanation:

Answer:

3x+-4

Step-by-step explanation:

8+3(x-4)

8+3x-12

8-12+3x

-4+3x

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Answer:

C)  99 in²

Step-by-step explanation:

you can divide this shape by drawing a horizontal line to create a 4x12" rectangle and a trapezoid with a height of (10-4) in and bases of 12 and 5"

area of rectangle:  12 x 4 = 48

area of trapezoid:  1/2(6)(12+5) = 3(17) = 51

total area = 48 + 51

total area = 99 in²

Answer:

C. 99

Step-by-step explanation:

First, we can split it into two rectangles and a right triangle: (see the image below)

The first rectangle has sides of 5, 10, 5, and 10.

The second has sides of 4, 7, 4, and 7.

The third has sides of 7, 6, and √85.

The first rectangle:

Because opposite sides are congruent in a rectangle, we know that the side across of the measure of 5 is also 5. The side across from 10 is also 10.

The second rectangle:

From the side with a measure of 4, draw a line across to meet the side of the first rectangle.

Because opposite sides are congruent, we know the other side is 4.

Because the whole entire bottom is 12, and the bottom of the first rectangle is 5, the side of the second rectangle must be 7.

This makes the other sides also 7.

The right triangle:

Because the lines are all perpendicular (indicated by right angle symbol), this is a right triangle.

We know that one of the sides is 7 (because of opposite sides being congruent in a rectangle). The whole side is the side of the first rectangle, so it's 10. That means that the other side of the right triangle is 6.

With the Pythagorean Theorem, we can find that the hypotenuse is √85.

Area of First Rectangle: A = l h

                                        A = (5) (10)

                                        A = 50

Area of Second Rectangle: A = l h

                                              A = (4) (7)

                                              A = 28

Area of Right Triangle: A = (1/2) (b) (h)

                                      A = (1/2) (7) (6)

                                      A = 21

21 + 28 + 50 = Area

Area = 99

Answer:

I think it's non of these.

Answer:

your answer is 139/ 250

Step-by-step explanation:

I did this already good luck! hope this helps

Answer:

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex

Step-by-step explanation:

Answer:

cube a geometrical shape which is a three-dimensional figure. It has 6 faces, 12 edges and 8 vertices.

Step-by-step explanation:

GLOSSARY

Faces: The flat surfaces which are squre in shape

Edges: Where 2 surfaces meet (i.e, length of cube)

Vertices: Corners

Answer:

The perimeter of triangle ΔABC is approximately;

(A) 20.0

Step-by-step explanation:

In ΔABC, the coordinates of the vertices are given as follows;

A(-4, 1), B(-2, 3), C(3, -4)

The length, 'l', of the sides of the triangle with known 'x', am]nd 'y' coordinates are given as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, we have;

The length of segment [tex]\overline {AB}[/tex] = √((3 - 1)² + (-2 - (-4))²) = 2·√2 ≈ 2.83

The length of segment [tex]\overline {BC}[/tex] = √(((-4) - 3)² + (3 - (-2))²) = √74 ≈ 8.6

The length of segment [tex]\overline {AC}[/tex] = √(((-4) - 1)² + (3 - (-4))²) = √74 ≈ 8.6

The perimeter of a geometric shape is equal to the sum of the length of sides of the figure

The perimeter of triangle ΔABC = (The length of segment [tex]\overline {AB}[/tex]) + (The length of segment [tex]\overline {BC}[/tex] ) + (The length of segment [tex]\overline {AC}[/tex])

∴ The perimeter of triangle ΔABC = 2·√2 + √74 + √74 ≈ 20.0.

Answer: 20.0

Step-by-step explanation: Khan Academy

Answer:

What do you need help on.

Step-by-step explanation:

16 model airplanes on his shelf

4 times as many model airplanes as model trains

let's denote the number of model trains as m

So,

m=16×4

m=64

Therefore,there are 64 model trains.

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Answer

3

6

18.85

28.27

Step-by-step explanation:

O can help with the rest if needed but the basic equations is

Circumference = 2 times pie times the radius (on this case 3)

Area = pie times radius squared

Solution :

It is given that Z is the incenter

So, we get from the figure

[tex]$5x +1= 8x -14$[/tex]

⇒ [tex]$-3x = -15$[/tex]

⇒ x = 5

So, [tex]$5x+1 = 26 ^\circ \text{ and}\ 8x-14 = 26^\circ$[/tex]

We have to find ∠ ZTU.

In Δ UTV,

∠ TUV + ∠ UTV + ∠ TVU = 180°

⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°

⇒ ∠ UTV  = 180° - 52° - 42°

                = 86°

So, [tex]$\angle ZTV = \frac{1}{2} \ \angle UTV$[/tex]

                 [tex]$ = \frac{1}{2} \times 86^\circ$[/tex]

                 [tex]$=43^\circ$[/tex]

Therefore, m ∠ ZTU = 43°

Answer:

Kg de carne= 15 kg

Step-by-step explanation:

Dada la siguiente información:

Una persona compra 2.5kg de carne por día.

Tenemos que calcular cuántos kg de carne compra en 6 días. Para esto debemos usar la siguiente formula:

Kg de carne= kg por día*cantidad de días

Kg de carne= 2.5*6

Kg de carne= 15 kg

Answer:

ratio of a is 44:56, ratio of b is 97:3

fraction of a is 44/100, fraction of b is 97/100

decimal of a is 0.44, decimal of b is 0.97

percent of a is 97%, and percent of b is 97%

if this is wrong im so sorry :()()()()(

step-by-step explanation:

Answer:

The answer is (3,5)

Step-by-step explanation:

Sana Maka tulong

Answer:

9.2 times greater

Step-by-step explanation:

Given that :

Half life :

Helium - 9 = 7x10^-21 seconds

Helium - 5 = 7.6x10^-22 seconds

To obtain the number of tunes helium - 9 half life is greater than helium - 5 ; we divide the half life of helium-9 by the half life of helium 5

7x10^-21 seconds / 7.6x10^-22 seconds

0.9210526 x 10^(-21 - (-22))

0.9210526 * 10^1

= 0.9210526 * 10

= 9.2105

About 9.2 times greater

Answer:

Even has 12 pens

Step-by-step explanation:

Charlie has 24 pens

Answer:

3 pens

Step-by-step explanation:

20% of 30 is 6. 6 divided by 2 is 3.

Answer: 36 pt = 21.6171 qt. There are 1.66535 pints in a quart.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 pints are in 1 quart