How do I solve this?(tangent segment)

Answer:

x = 2

Step-by-step explanation:

10x - 7 = 7x - 1

10x = 7x + 6

3x = 6

x = 2

Answer:

x = 2

Step-by-step explanation:

Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.

You should be left with 10x - 7x = 7 - 1.

10x - 7x = 3x

7 - 1 = 6

3x = 6

Divide both sides by three to get your answer of x = 2.

Answer:

Transformation: (x,y) → (x - 26, y + 17) or

[tex]T _{-26,17}[/tex](x,y) [translation]

A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.

Explanation:

Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).

Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.

The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.

Given all the points, the more complicated work is shown here:

(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).

When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.

Answer:

13.6 yards

Step-by-step explanation:

The equation for perimeter is P=2L+2W

So P=2(4 yards)+2(2.8 yards)

P=13.6 yards

Or you can write the formula as P=L+L+W+W and get the same answer

Answer:

Option: D is the correct answer.

D) 20.455 <= X <= 20.545

Step-by-step explanation:

We are given The ideal length of a particular metal rod is 20.5 cm.

It is given that:

The measured length may vary from the ideal length by at most 0.045 cm.

By atmost we mean either less than or equal to that amount but not more than that.

It means that:

|X-20.5|≤ 0.045

⇒  -0.045  ≤ X-20.5 ≤ 0.045

⇒    -0.045+20.5 ≤ X ≤ 20+0.045

⇒   20.455 ≤ X ≤ 20.545.

Hope this helped! <3

Answer:

Wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

let the wonka bars be X

and everlasting gobstoppers be Y

the objective is to

maximize 1.3x+3.2y=P

subject to constraints

natural sugar

4x+2y=60------1

sucrose

x+3y=75---------2

x>0, y>0

solving 1 and 2 simultaneously we have

4x+2y=60----1

x+3y=75------2

multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have

 4x+2y=60

 4x+12y=300

-0-10y=-240

10y=240

y=240/10

y=24

put y=24 in equation 2 we have'

x+3y=75

x+3(24)=75

x+72=75

x=75-72

x=3

put x=3 and y=24 in the objective function we have

maximize 1.3x+3.2y=P

1.3(3)+3.2(24)=P

3.9+76.8=P

80.7=P

P=$80.9

Answer:

wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

Answer:

2345, 2034, 2134

Step-by-step explanation:

From the choices available the only options that would samples would be 2345, 2034, 2134. These three samples meet all of the requirements of the ATM cards pin system. Each of them starts with a 2 which is between 1 and 9. The last 3 digits of each of these samples are between 0 and 9 and are also not repeated from any of the other digits in the pin. All of the other options available either start with a 0 or have at least one repeating digit in its pin code.

Answer: Lcm = 600

Step-by-step explanation: Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 5 × 5

LCM = 600

Answer:

600

Step-by-step explanation:

120= 2*2*2*3*5________eq1

200=2*2*2*5*5_________eq2

we get common factor from 1 and 2

2*2*2*5*3*5 = 600

so the least common factor is 600

Answer:

n = 5

Step-by-step explanation:

100,000 = 10^n

Take the log of both sides

log 100,000 = log 10^n

log 100,000 = n * log 10

Dividing both sides by log 10

log 100,000 / log 10 = n * log 10 / log 10

n = log 100,000 / log 10

= 5 / 1

n = 5

Answer:

Your answer is (4,-3)

Step-by-step explanation:

Quadrilateral ABCD is rotated 90 degrees clockwise, to get A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

If a point A(x, y) is rotated clockwise by 90 degrees, the new point is at A'(y, -x)

Quadrilateral ABCD is at A(-1, 0), B(0, -1), C(-2, -3) and D(-3, -2). If ABCD is rotated 90 degrees clockwise, the new point is at A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

Find out more on transformation at: https://brainly.com/question/1548871

Answer:

B)

Step-by-step explanation:

edge

Answer:

once again, the pattern is multiply by 3

Answer:

972

Step-by-step explanation:

the pattern is multiplied by 3

Answer:

1.94

Step-by-step explanation:

Let the number be x

So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,

now the number 3x is subtracted from its own square i guess it should look like this

[tex](3x)^2-3x[/tex]

and the answer is 28 so the final form of the problem should be

[tex](3x)^2-3x=28[/tex]

[tex]9x^{2} -3x-28=0[/tex]

now we solve the quadratic equation by using the quadratic formula and we two values for x

one is a positive value and the other is negative value we take the positive value as said in the question itself  "when three times a number which is positive" so that value of x is 1.94

Answer:

270

Step-by-step explanation:

[tex] - 10 \times ( - 3) \times 9[/tex]

[tex]30 \times 9[/tex]

[tex]270[/tex]

Answer:

The answer is Answer = 270x

Answer:

22

Step-by-step explanation:

You can just put it in your calculator

Answer:

22

Step-by-step explanation:

Answer:

The differences between a physical change and a chemical change are as follows :

Hope I helped!

Best regards ! :D

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

Step-by-step explanation:

3(-3) - 2 = -9 - 2 = -11

3(1) - 2 = 3 - 2 = 1

3(5) - 1 = 15 - 1 = 14

Answer:

It is 3/13

Step-by-step explanation:

it is because there are 13 total marbles and 3 yellow ones

Let the digit in one's place be y and digit at ten's place be x.

Sum of the digits = 11

⟶ x + y = 11

⟶ x = 11 - y -- equation (1).

And,

The number formed by reversing the digits is 27 more than the original number.

⟶ Reversed number = Original number + 27

reversed number = 10y + x.

⟶ 10y + x = 10x + y + 27

⟶ 10y + x - 10x - y = 27

⟶ 9y - 9x = 27

Substitute the value x from equation (1).

⟶ 9y - 9(11 - y) = 27

⟶ 9y - 99 + 9y = 27

⟶ 18y = 27 + 99

⟶ 18y = 126

⟶ y = 126/18

⟶ y = 7

Substitute the value of y in equation (1).

⟶ x = 11 - 7

⟶ x = 4

The number = 10(4) + 7 = 40 + 7 = 47.

∴ The required two digit number is 47.

I hope it will help you.

Regards.

Answer:

D

Step-by-step explanation:

Here we want to select which of the options best define open end credit.

When we talk of open end credit, we are referring to a loan system in which the borrower of the loan can payback and consistently borrow the loan from the lender.

In this case, what we are saying is that the borrower can payback a certain amount and still get an amount of money from the balance of the loan.

In simple case, it is a system of borrowing and loan repayment simultaneously

Answer:

Tissue

Step-by-step explanation:

Forgive me if I'm wrong but I'm 90 percent sure I'm not.

Happy almost Halloween!!

/_ b = /_ e

2x + 31 = 7x - 24

5x = 55

x = 11

If a triangle is equilateral, then each of its angles measures 60°. Therefore, option D is the correct answer.

An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60° therefore, it is also known as an equiangular triangle.

The given statements are

(1) If a triangle is equilateral, then it has three congruent sides.

(2) If all the sides of a triangle are congruent, then each of its

Here, if a triangle is equilateral, then each of its angles measures 60°.

Therefore, option D is the correct answer.

To learn more about an equilateral triangle visit:

https://brainly.com/question/17824549.

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Answer:

1.07x

Step-by-step explanation:

Since they both have a x, you can simply add .05 + 1.02 to get 1.07x.

Answer:

It is 1.07x (✿◠‿◠)

Answer:

Slope= 1/2

Step-by-step explanation:

The slope of the given line is 0.5.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The points on the table lie on a line, as follows;

x: (-2), 0, 2, 4

y: 3,4,5,6

To determine the slope of a line, you can use the formula:

(change in y)/(change in x)

As per the points in the table,

the change in x is (4-(-2)) = 6, and the change in y is (6-3) = 3.

Slope =  (3)/(6)

Slope = 1/2

Apply the division operation, and we get

Slope = 0.5

Therefore, the slope of the line is 0.5.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

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Answer:

The correct calculation is 180 - 56

Step-by-step explanation:

From the question, we have DCG and DCF

looking at the diagram, we can see that both lie on a straight line and are a linear pair

So the addition of both will give 180

But DCG is 56

So;

DCF + 56 = 180

So;

DCF = 180 - 56