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Answer:

The length of the line segment UV is 76 units

Step-by-step explanation:

In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length

In Δ ONT

∵ U is the mid-point of ON

∵ V is the mid-point of TN

→ That means UV is joining the mid-points of two sides

∴ UV // OT

∴ UV = [tex]\frac{1}{2}[/tex] OT

∵ UV = 7x - 8

∵ OT = 12x + 8

∴ 7x - 8 = [tex]\frac{1}{2}[/tex] (12x + 8)

→ Multiply the bracket by [tex]\frac{1}{2}[/tex]

∵ [tex]\frac{1}{2}[/tex] (12x + 8) =  [tex]\frac{1}{2}[/tex] (12x) +  [tex]\frac{1}{2}[/tex] (8) = 6x + 4

∴ 7x - 8 = 6x + 4

→ Add 8 to both sides

∴ 7x - 8 + 8 = 6x + 4 + 8

∴ 7x = 6x + 12

→ Subtract 6x from both sides

∴ 7x - 6x = 6x - 6x + 12

∴ x = 12

→ Substitute the value of x in the expression of UV to find it

∵ UV = 7(12) - 8 = 84 - 8

∴ UV = 76

∴ The length of the line segment UV is 76 units

Answer:

1) x = 7

2) x = 15

3) x = 19

4) x = 2

5) x = - 6

6) x = 10

7) x = 17

Step-by-step explanation:

1) 2x + 5= 12 +x

  -x                -x

2x -x + 5 = 12

          -5     -5

x = 7

2) 5x = 30 + 3x

   -3x          -3x

2x = 30

x = 15

3) 2 + x/3 = 7

3(2 + x/3) = (7) 3

2 + x = 21

-2         -2

x = 19

4) 15 - x = 17 - 2x

       +2x       +2x

15 - x + 2x = 17

-15               -15

x = 2

5) 6x = - 42 - x

   +x            +x

7x = -42

x = - 6

6) 36 - 4x = 26 - 3x

         +3x           +3x

36 - x = 26

-36        -36

-x = -10

x = 10

7) -2 + x = 15

   +2         +2

x = 17

hope this helps!

Answer:

The answer is "[tex]=24x+ \frac{28800}{x}+20[/tex]"

Step-by-step explanation:

The perimeter of the fence [tex]=2x+y[/tex]

cost of fence[tex]=12(2x+y)[/tex]

cost of corner ports[tex]= 4 \times 5=20[/tex]

cost of pen[tex]= 24x+12y+80.............(1)[/tex]

area of pen[tex]=2400[/tex]

[tex]xy=2400\\\\y=\frac{2400}{x}[/tex]

cost c(x)[tex]=24x+ \frac{12 \times 2400}{x}+20[/tex]

             [tex]=24x+ \frac{28800}{x}+20[/tex]

Given:

An annual pass to a park costs $120.

To find:

The 200% of the full price using percent model.

Solution:

In the percent model,

100% = 1 box

It means 1 box represents park costs $120.

200% = 2 box

[tex]120+120=240[/tex]

It means 2 box represents park costs $240.

Therefore, 200% of the full price is $240.

Answer:

C

Step-by-step explanation:

We are given a line that contains the two points (-3, 3) and (-1, -1) and we want to determine the slope of the line.

To find the slope of a line given any two points, we can consider using the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are the two points.

We have the two points (-3, 3) and (-1, -1).

So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).

Substitute and evaluate:

[tex]\displaystyle\begin{aligned} m&=\frac{(-1)-(3)}{(-1)-(-3)}\\ \\ &= \frac{-1 -3 }{-1 + 3} \\ \\ &= \frac{-4}{2} \\ \\ &= -2\end{aligned}[/tex]

So, the slope of the line is -2.

In conclusion, our answer is C.

Answer:

m=-2

Step-by-step explanation:

Its just -2 I cant explain sorry

Answer:

SPANISH TALK ENGLISH OK

Step-by-step explanation:

OKKK

Answer:

113

Step-by-step explanation:

Answer:

diameter =6 cm

radius =3cm

shaded area =area of square- area of circle

= a^2 - πr^2

=(6)^2-3.142(3)^2

=36-3.142×9

=36-28.278

=7.622

Answer:

No, because 3 students would be left over and we have to make an extra so 35. Mr.Smith is wrong.

Step-by-step explanation:

Answer:

A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin

Step-by-step explanation:

Plz mark as Brainliest!

Answer:

103 is ur answer hope this helps

Answer:

The answer is 0 or C on Edge.

Step-by-step explanation:

Got it right. 2021.

Answer:

it's 2

Step-by-step explanation:

a= -3/4

b=0

c=2

Answer:

Mean = 32.25

median = 31.5

Answer:

Median = 31.5

Mean  = 32.25

Step-by-step explanation:

Number of data = 8

Ascending order:

    30 , 30 , 31 , 31 , 32 ,  33 , 35, 36

Median = Average of 4th and 5th term

             = (31 + 32) / 2

              = 63/2

              = 31.5

Mean = Sum of all the observations /number of observations

         = (31 + 32 + 36 +31 + 30 + 35 + 33 +30) / 8

         = 258/8  

         = 32.25

Answer:

Bertha picked up more than anica.

Step-by-step explanation:

10 1/3 = 10.33333 which is greater than anica

Answer:

6:2

Step-by-step explanation:

This simply means for every 6 triangles there are going to be 2 circles, so if you had 12 triangles there would be 4 circles.

So think of it kinda like:

6 triangles = 2 circles and so on.

Answer:

1:3

Step-by-step explanation:

Since the question says ratio of circles to triangles , we will arrange the answer in that order

So,

2:6

Breaking it down,

1:3

Answer:

$15

Step-by-step explanation:

if one pound is $5 and we need 3, then we can multiply the price of one pound by 3. (3×$5) This gives $15

Answer:

a. Only the x-value is given.

Step-by-step explanation:

Taking a look at the graph of both equations, both equations are graphed correctly, because the slope (m) and y-intercept (b) values corresponds of each equation corresponds with what we have on the graph representing each equation.

The solution of two linear equations ought to be in a coordinate pair, (x, y). This means the x-value and it's correaponding y-value of the solution needs to be stated, not just the x-value.

Thus, the correct solution. Of the two linear equations are x = 4, when y = 3.

Solution in coordinate pair form is (4, 3).

Therefore, the statement that describes the error is:

a. Only the x-value is given.

Answer:

It's A

Step-by-step explanation:

A parallelogram only has 4 sides, but pentagon has 5. Also like the name, a parallelogram opposite sides are parallel to each other.

Answer:

5 3/4 > 6 1/4

Step-by-step explanation:

Answer:

4333.23777

Step-by-step explanation:

.just type it in the calculator

Answer:

Step-by-step explanation:

-20x + 12 + 15

-20x + 27

Answer:

C

Step-by-step explanation:

Answer:

Pretty sure it's

D. None of the above

Answer:

-7y

Step-by-step explanation:

As long as the variable and exponent is the same, they are like terms

Answer: 68y

There are infinitely many ways to answer this. All you need to do is pick your favorite number and then stick y at the end of it. The terms -5y and 68y are like terms because they have the same variable attached.

You can think of 68y-5y as having 68 yoyos and then subtracting off 5 yoyos to get 63 yoyos when all is said and done. In terms of algebra, we would write 68y-5y = 63y.

Answer:

the 3rd one

Step-by-step explanation:

Answer:

It is the second one

Step-by-step explanation:

Answer:

Step-by-step explanation:

the conversion for farenheit to celsius is to subtract 32 and multiply by 5/9.

-40-32 is -72. multiply that by 5/9 and that is -40

50-32 is 18. multiply that by 5/9 and you get 10. so no she's wrong

Answer:

Step-by-step explanation:

Vitamin c=3/4×cup of orange juice

Answer:

Range is 44

mean is 29.7

variance is 289.56

standard deviation is 17.016

Step-by-step explanation:

The data given as follows

3, 24, 30, 47, 43, 7, 47,13, 44, 39

Range = maximum - minimum

             = 47 -3 = 44

mean = [tex]\frac{3+24+30+47+43+7+47+13+44+39}{10}[/tex] = 297/10 = 29.7

variance = [tex]\frac{sum xi^2 }{N} - mean^2 }[/tex]

              = 289.56

SD = [tex]\sqrt{variance}[/tex]  = 17.016

The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.

Answer:hi how’s it going

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

d So yah plz tell me if I am right it has Ben a while since I have done this

Step-by-step explanation:

it is d so yah