Construct three parallel lines. Then construct two arbitrary non parallel transversal of the parallel lines. Make sure that the transversals cut the three parallel lines at distinct points mark the points of intersection where the transversals cut the parallel lines. Take a screenshot of your construction, save it, and insert the image below.

Answer:

-1/5

Step-by-step explanation:

To find the slope, the formula is y2-y1/x2-x1

1-2/3-(-2) = -1/5

Answer:

Step-by-step explanation:

hope this helps!!!!

Answer:

the missing angle or the exterior angle is 120

Step-by-step explanation:

180-60=120

Answer:

90 degrees.

Step-by-step explanation:

The square symbol at the unlabeled angle means 90 degrees. Also, a triangle's interior angles equal 180. We already have 30 and 60, so 30+60=90. Now, subtract this from 180. 180-90=90. The answer is 90 degrees.

Hope this helps!

A reasonable estimate of the rate of change for the interval

300 ≤ x ≤ 400 considering if the company is making a profit=2.

Consider the Quadratic relationship, between the selling price for its newest tablet and the company's daily profit is given,

f(x)= a x² + b x + c

Differentiating once

f'(x)= 2 a x + b

As we have to find the rate of change for the interval 200 ≤ x ≤ 300.

So,[tex]f(300)= 2 a \times 300 + b= 600a+b[/tex]

[tex]f(400)= 2 a \times 400 + b= 800 a + b[/tex]

Rate of change for the interval 300 ≤ x ≤ 400

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{800 a + b-(600 a + b)}{400-300} \\=\frac{800 a + b-600 a -b)}{100}\\\\=\frac{(200 a )}{100}\\\\=2a[/tex]

As considering, if the company is going through Profit, when the selling of the tablet is in the interval (300 ≤ x ≤ 400),

So, a Reasonable estimate of the rate of change for the interval 300 ≤ x ≤ 400 considering if the company is making a profit=2

Option (A).

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The equation of the given quadratic function is y = x² -9x+18. The correct option is B. y = x² -9x+18

From the question, we are to determine which equation represent the quadratic function

From the given graph,

The roots (zeros) of the function are

x = 3 and x = 6

Now, we will determine the equation of the function from its roots

x = 3 and x = 6

Then, we can write that

x -3 = 0 OR x - 6 = 0

Thus,

(x -3)(x -6) =0

Expanding

x² -6x -3x +18 =

x² -9x+18 = 0

∴ y = x² -9x+18

Hence, the equation of the given quadratic function is y = x² -9x+18. The correct option is B. y = x² -9x+18

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Answer:

10%

Step-by-step explanation:

(26-23.40)/26x100%

Answer:

10%

Step-by-step explanation:

Answer:

hope you can understand

Answer:

  ∠TRV and ∠WRS  or  ∠TRS and ∠WRV

Step-by-step explanation:

Vertical angles are angles that share a vertex and have sides that are opposite rays. That is, the opposites of the rays that form one of the angles are the rays that form the other angle.

__

Where lines cross, two pairs of vertical angles are formed. In your diagram, those pairs are ...

  ∠TRV and ∠WRS . . . . one vertical angle pair

  ∠TRS and ∠WRV . . . . another vertical angle pair

_____

Additional comment

In this diagram, the ray RU is of no consequence with respect to any vertical angles. It can be ignored.

The vertical angles will each have one red ray and one blue ray as sides. These rays have end point R. No sides are shared.

Answer:

see picture for the coordinates

A’ = -2,-4

B’ = -3,-7

C’ = -1,-8

D’ = 1,-6

Step-by-step explanation:

add the translation coordinates to the original to get new coordinates

Answer:

Given translation:

Therefore,

⇒ (x, y)  →  (x - 4, y - 3)

Calculations

A (2, -1) ⇒ (2 - 4, -1 - 3) = A' (-2, -4)

B (1, -4) ⇒ (1 - 4, -4 - 3) = B' (-3, -7)

C (3, -5) ⇒ (3 - 4, -5 - 3) = C' (-1, -8)

D (5, -3) ⇒ (5 - 4, -3 - 3) = D' (1, -6)

Therefore, the new coordinates using prime notation are:

Answer: D.

Step-by-step explanation:

x + 3 > 2       Original equation

x > -1             Subtract 3 on both sides

Number line that has an open circle and on -1 that goes right = D.

Answer:

I belive c angle bisector

Answer:

Unless im being completely braindead right now there isn't a whole number that works with this. When simplified its 5/2 or 2.5 but because it isn't an actual whole number (like 2, 4 and 6) they don't count.

Answer:

between two whole numbers 2 and 3 or just 3.

Step-by-step explanation:

The answer to 250/100 would be 2.5 but that is a decimal and not a whole number. You couod round 2.5 to 3 to make it a whole nunber or you say that it is in between two whole nunbers which are 2 and 3 if you are allowed to. (since 2.5 alone is not a whole number)

The equivalent expression of the given expressions is 2x + 5.

Expressions are statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is,

3 + 2x - 9 - 4x + 11 + 5x - x

There are like terms in the expression, which can be operated together.

Write terms with variables together and the constants together.

3 + 2x - 9 - 4x + 11 + 5x - x

= (2x - 4x + 5x - x) + (3 - 9 + 11)

= 2x + 5

Hence the given expression can be simplified to 2x + 5.

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The set that represents the same relation as the graph given is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

A relation is defined as a relationship between the input and output, which can be displayed on a graph on a coordinate plane.

From the graph as shown in the image attached below,

The set that has same coordinate points as indicated on the graph is:

B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

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Answer:

4. false 1 is nor prime nor composite

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given 40 positive tiles are broken up into 10 groups of 4 positive tiles. The expression that represents this situation is 40 divided by 10.

Hence, the correct option is B.

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Answer:

b

Step-by-step explanation:

The amount invested in the account that earns 10% interest  is $2000.

The amount invested in the account that earns 13% interest  is $3000.

a + b = 5000 equation 1

0.1a + 0.13b = 590 equation 2

Where:

Multiply equation 1 by 0.1

0.1a + 0.1b = 500 equation 3

Subtract equation 3 from equation 1

90 = 0.03b

Divide both sides by 0,03

b = $3000

Subtract $3000 from $5000: 5000 - 3000 = $2000

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see the attachment photo!

The linear factors of the function are the x-intercepts which are (x + 5), (x + 2), (x - 1) and (x - 6)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the graph of the function. The linear factors of the function are the x-intercepts which are (x + 5), (x + 2), (x - 1) and (x - 6)

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35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of black tea worth 1.80 per pound to be mixed to get the final mixture for 2.10 per pound, hence:

2.4(35) + 1.8(x) = 2.1(x + 35)

x = 35 pounds

35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound

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Answer:

the answer is 45.

Step-by-step explanation:

45 + 23 = 68.

Answer:

She might be from 50 - 59 inches. So its Option C or B. Hope this helps!!

Answer:

24 people

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

From the given choices, the answer is option A: It is symmetric and has no gaps.

A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark.

The horizontal axis label is Dollar per hour.

There are 2 dots above 4 dollars, 3 dots above 5 dollars, 3 dots above 6 dollars, and 2 dots above 7 dollars.

The title of the line plot is Babysitting Rates.

A dot plot is the same as a histogram but it uses dots instead of bars.

The dot plot as described by the problem is shown in the picture.

A bell shape is drawn for symmetrical data.

From the given choices, the answer is option A: It is symmetric and has no gaps.

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Answer:x = 0.449

Step-by-step explanation:

You will find it in the screenshots! up there☝️

Answer:15

Step-by-step explanation:

A ladder is resting against a wall.The top of the ladder touches the wall at a height of 9 feet.Find the length of the ladder if the length is 3 feet more than its distance from the wall.

Let the distance of the ladder from the wall be x

The length of the ladder = x+3

The ladder touches the wall at a vertical height of 9 feet.

(x+3)^2 = x^2 + 9^2 ( using the pythagoras theorem

x^2 + 6x+ 9 = x^2 + 81

x^2- x^2 +6x = 81-9

6x= 72

x= 12

Therefore the length of the ladder will be x+3 = 12 + 3 =15 Answer.

Answer:

second option, x + 2y = 3

Step-by-step explanation:

The slope intercept form is y = mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

The y - intercept is when x = 0

In the table its shown that (0, 3), y = 3 so b = 3

The slope (gradient) is a number that describes both the direction and the steepness of the line.

slope = rise / run = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

(x_1, y_1)   = coordinates of first point in the line

(x_2, y_2)  = coordinates of second point in the line

x is increasing by 1 (run)

y is decreasing by 2 (rise)

rise / run = -2 / 1 = -2

so the slope is -2

our slope intercept equation is, y = -2x + 3

Choice:

Some choice are in standard form so we need to convert to slope intercept

subtract 2x from both sides, 2x - 2x + y = 3 - 2x

subtract x from both sides, x - x + 2y = 3 - x becomes 2y = 3 - x

divided both sides by 2, 2y / 2 = (3 - x) / 2

subtract x from both sides, x - x - y = 0 - x than switch signs

which option matches?!

THE SECOND ONE

Answer:

the visible number of cubes is 7

Step-by-step explanation:

Assuming that there are no hidden cubes, the # of visible cubes is 7

Answer: 83.5

Step-by-step explanation:

[tex]\frac{\sin x}{34}=\frac{\sin 26^{\circ}}{15} \\\\\sin x=\frac{34 \sin 26^{\circ}}{15}\\\\x=sin^{-1} \left(\frac{34 \sin 26^{\circ}}{15} \right) \approx \boxed{83.5}[/tex]

Answer:

  x ≈ 83.5° or 96.5°  (two possible values)

Step-by-step explanation:

The relationship between side lengths of a triangle and their opposite angles is given by the Law of Sines: side lengths are proportional to the sines of their opposite angles.

__

In this problem, the Law of Sines tells us ...

  sin(A)/BC = sin(C)/AB

  sin(C) = sin(A)·AB/BC

Using x for angle C, solving for x, and using the inverse sine function, we find ...

  x = arcsin(sin(26°)·34/15) ≈ arcsin(0.993641)

The arcsine function returns a value in the range 0–90°, but the supplemental angle in the rangle 90°–180° can have the identical sine value.

  x ≈ 83.5° or 96.5°

_____

Additional comment

For the graph in the attachment, we have set the angle mode to degrees. The solutions to f(x)=0 are solutions to the problem: 83.5° and 96.5°.

The triangle in the figure appears to be an acute triangle. The value of x for an acute triangle would be 83.5°. Often, we cannot take these figures at face value.

Answer:

[tex](5v + 2)(v - 5)[/tex]

Step-by-step explanation:

Hello!

The expression is written in the form of [tex]ax^2 + bx + c[/tex]

Let's factor by grouping:

[tex]ac = -50[/tex]

The sum of the factors of -50 should add up to -23.

-25 and 2 work for this.

Expand and factor:

The factored expression is [tex](5v + 2)(v - 5)[/tex]

The missing length in triangle A given the similarity between the two triangles is 18.67

Triangle A is similar to triangle B

Triangle A:

Triangle B:

Ratio of side 1 to side 2 of the triangles respectively

(x + 2) : 8 = 14 : 6

(x + 2) / 8 = 14/6

(x + 2) × 6 = 8 × 14

6x + 12 = 112

6x = 112 - 12

6x = 100

x = 100/6

x = 16.67

Therefore, Triangle A:

Side 1 = (x + 2)

= 16.67 + 2

= 18.67

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