What is the value of X?

Answer/Step-by-sep explanation:

To determine whether the lines given in each box are parallel, perpendicular, or neither, take the following simple steps:

1. Ensure the equations for both lines being compared are in the slope-intercept form, y = mx + b. Where m is the slope.

2. If both lines have the same slope value, m, then both lines are parallel.

3. If the slope of one line is the negative reciprocal of the other, then both lines are perpendicular. That is, x = -1/x.

4. If the slope of both lines are not the same, nor the negative reciprocal of each other, then they are neither parallel nor perpendicular.

1. y = 3x - 7 and y = 3x + 1.

Both have the same slope value of 3. Therefore, they are parallel.

2. ⬜ [tex] y = -\frac{2}{5}x + 3 [/tex] and [tex] y = \frac{2}{5}x + 8 [/tex]

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⅖ and the slope of the other is ⅖. Therefore, they are neither parallel nor perpendicular.⬜

3. [tex] y = -\frac{1}{4}x [/tex] and [tex] y = 4x - 5 [/tex]

The slope of the first line, ¼, is the negative reciprocal of the slope of the second line, 4.

Therefore, they are perdendicular.

4. 2x + 7y = 28 and 7x - 2y = 4.

Rewrite both equations in the slope-intercept form, y = mx + b.

2x + 7y = 28

7y = -2x + 28

y = -2x/7 + 28/7

y = -²/7 + 4

And

7x - 2y = 4

-2y = -7x + 4

y = -7x/-2 + 4/-2

y = ⁷/2x - 2

The slope of the first line, -²/7, is the negative reciprocal of the slope of the second line, ⁷/2.

Therefore, they are perdendicular.

5.⬜ y = -5x + 1 and x - 5y = 30.

Rewrite the second line equation in the slope-intercept form.

x - 5y = 30

-5y = -x + 30

y = -2x/-5 + 30/-5

y = ⅖x - 6

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -5 and the slope of the other is ⅖. therefore, they are neither parallel nor perpendicular.⬜

6.⬜ 3x + 2y = 8 and 2x + 3y = -12.

Rewrite both line equations in the slope-intercept form.

3x + 2y = 8

2y = -3x + 8

y = -3x/2 + 8/2

y = -³/2x + 4

And

2x + 3y = -12

3y = -2x -12

y = -2x/3 - 12/3

y = -⅔x - 4

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -³/2 and the slope of the other is -⅔ therefore, they are neither parallel nor perpendicular.⬜

7. y = -4x - 1 and 8x + 2y = 14.

Rewrite the equation of the second line in the slope-intercept form.

8x + 2y = 14

2y = -8x + 14

y = -8x/2 + 14/2

y = -4x + 7

Both have the same slope value of -4. Therefore, they are parallel.

8.⬜ x + y = 7 and x - y = 9.

Rewrite the equation of both lines in the slope-intercept form.

x + y = 7

y = -x + 7

And

x - y = 9

-y = -x + 9

y = -x/-1 + 9/-1

y = x - 9

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -1, and the slope of the other is 1, therefore, they are neither parallel nor perpendicular.⬜

9. y = ⅓x + 9 And x - 3y = 3

Rewrite the equation of the second line.

x - 3y = 3

-3y = -x + 3

y = -x/-3 + 3/-3

y = ⅓x - 1

Both have the same slope value of ⅓. Therefore, they are parallel.

10.⬜ 4x + 9y = 18 and y = 4x + 9

Rewrite the equation of the first line.

4x + 9y = 18

9y = -4x + 18

y = -4x/9 + 18/9

y = -⁴/9x + 2

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⁴/9, and the slope of the other is 4, therefore, they are neither parallel nor perpendicular.⬜

11.⬜ 5x - 10y = 20 and y = -2x + 6

Rewrite the equation of the first line.

5x - 10y = 20

-10y = -5x + 20

y = -5x/-10 + 20/-10

y = ²/5x - 2

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is ⅖, and the slope of the other is -2, therefore, they are neither parallel nor perpendicular.⬜

12. -9x + 12y = 24 and y = ¾x - 5

Rewrite the equation of the first line.

-9x + 12y = 24

12y = 9x + 24

y = 9x/12 + 24/12

y = ¾x + 2

Both have the same slope value of ¾. Therefore, they are parallel.

Answer:

12/14 to 18/w

Step-by-step explanation:

the w would equal 21 (incase you needed it) since the unit rate is 1.5

Answer:

w = 20

Step-by-step explanation:

Answer:

18 years 0 months 0 days

Step-by-step explanation:

or 216 months 0 days

or 939 weeks 2 days

or 6,575 days

or 157,800 hours

or 9,468,000 minutes

or 568,080,000 seconds

Answer:

you will be 18!

Step-by-step explanation:

So if you are born In 2007 add 3 years to that. Now it's 2010 add 10 years to that. Now it is 2020. Now just add another 5 years to that and you get- 18!

17. Longest side

18. Smallest side

19. *i think* parallel

20. hypothesis is false, and a contradiction is reached

21. must be greater

22. SAS (Side-Angle-Side)

23. (To answer this look back in your notes about the section, what other Inequality Theorem is talked about, since i don't know what section this comes from i cannot help you)

Answer: 2

Step-by-step explanation:

Answer:

yes it would make a acute triangle

Step-by-step explanation:

maybe I do

Step-by-step explanation:

or don't sjjajahausos

Answer:

9/2

Step-by-step explanation:

Answer:

B, because it’s Angle Angle, or (A,A)

The given triangles are similar by AA rule of similarity.

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Given are two triangles,

AA rule of similarity:

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Here we see,

∠ K ≅ ∠ Y

∠ J ≅ ∠ X

Hence, we can say that, both are similar by AA rule.

For more references on similarity, click;

https://brainly.com/question/26451866

#SPJ2

Answer:

1/6

Step-by-step explanation:

Convert 17 feet to inches. 17×12 = 204

204 inches to 34 inches.

204/34 = 6

Remember we are scaling down

204× 1/6 = 34

Answer:

z=97 x=21

Step-by-step explanation:

so straight angles always equal 180°

And assuming that your lines are parallel, the angle under angle z should be 83° just like the angle above angle z

There for to solve for x, first subtract 83 from 180 because that's what that angle is equal to.

Now that you have the equation 4x+13 and you know that it's equal to 97 you can solve it just like a normal inequality.

4x+13=97

4x=84

x=21

Answer: $45 + 4n + 3

Step-by-step explanation:

Answer:

T>28

Step-by-step explanation:

Multiply 4 to both sides to get your variable alone.

Answer:

It is correct :)

Step-by-step explanation:

Answer:

HL

Step-by-step explanation:

It's a right triangle.

Answer: HL

Step-by-step explanation: because they are right triangles

Answer:

Felt that

Step-by-step explanation:

Answer:

ee

Step-by-step explanation:

reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

its y+-2+7

Step-by-step explanation:

Answer:

5  minutes

Step-by-step explanation:

because the line intersects at 5 minutes and they each learned 60 words at 5

Answer:

5 minutes

Step-by-step explanation:

:)

Answer:

c=205

Step-by-step explanation:

Answer:

y = - 3x + 4

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) Point-slope form

y = mx + b  Point-intercept form

(1, 1)

(2, - 2)

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

y - 1 = - 3( x - 1 )

y = - 3x + 4

Answer:

Equiangular triangle

Step-by-step explanation:

Answer:

y=2.5x+9

Step-by-step explanation:

pick any two points and plug 2.5 for x and add 9 to the sum

Answer:

k squared minus 4/ A

Step-by-step explanation:

took the test

Answer:A. k squared minus 4

Step-by-step explanation:

Answer:

y  =  [tex]-\frac{1}{2}[/tex] x + 9

Step-by-step explanation:

Given parameters:

  Coordinates = (-2,8)

Equation of the line  y  = 2x + 5;

Unknown:

Linear equation of a line perpendicular = ?

Solution:

From the given expression, a line perpendicular will have a negative inverse of the slope given.

           y  = 2x + 5

Equation of a line  is y = mx + c;

y and x are the coordinates

  m is the slope

   c is the intercepts

    y  = 2x + 5 ;

 The slope is 2;

  A line perpendicular will have a slope of [tex]-\frac{1}{2}[/tex]  

 Since y = 8 and x  = -2, let us find c;

     8  = 2 x [tex]-\frac{1}{2}[/tex]  + c

    8 = -1 + c

     c  = 8+1 = 9

The equation of the line is;

       y  =  [tex]-\frac{1}{2}[/tex] x + 9

Answer:

wrong it is 667.95

Step-by-step explanation: