what is the degree measure of f?

Answer/Step-by-step Explanation:

To determine if segment AB and CD are parallel, perpendicular, or neither, calculate the slope of each.

✍️If the slope of AB and CD are the same value, then they are parallel.✅

✍️If the slope of one is the negative reciprocal of the other, then they are perpendicular.☑️

✍️If their slopes are different, or the slope of one is not the negative reciprocal of the other, then they are neither.❌

1. AB formed by (-2, 13) and (0, 3)

CD formed by (-5, 0) and (10, 3)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 13}{0 -(-2)} = \frac{-10}{2} = -5 [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{10 -(-5)} = \frac{3}{15} = \frac{1}{5} [/tex].

☑️-5 is the negative reciprocal of ⅕, therefore segments AB and CD are perpendicular

2. AB formed by (3, 7) and (-6, 1)

CD formed by (-6, -5) and (0, -1)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{-6 - 3} = \frac{-6}{-9} = \frac{2}{3} [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 -(-5)}{0 -(-6)} = \frac{4}{6} = \frac{2}{3} [/tex].

✅Segment AB and CD have the same slope value of ⅔. Therefore, they are parallel.

3. AB formed by (-6, 2) and (-2, 4)

CD formed by (-1, 11) and (5, -7)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{-2 -(-6)} = \frac{2}{4} = \frac{1}{2} [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - 11}{5 -(-1)} = \frac{-18}{6} = -3 [/tex].

❌The slopes of Segments AB and CD are not the same (½ and -3). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.

4. AB formed by (-3, 8) and (2, 3)

CD formed by (-4, 6) and (-8, 2)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 8}{2 -(-3)} = \frac{-5}{5} = -1 [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 6}{-8 -(-4)} = \frac{-4}{-4} = 1 [/tex].

❌The slopes of Segments AB and CD are not the same (1 and -1). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.

5. AB formed by (-8, -1) and (-4, 2)

CD formed by (0, -3) and (12, 6)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 -(-1)}{-4 -(-8)} = \frac{3}{4} [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 -(-3)}{12 - 0} = \frac{9}{12} = \frac{3}{4} [/tex].

✅Segment AB and CD have the same slope value of ¾. Therefore, they are parallel.

6. AB formed by (6, 5) and (3, -1)

CD formed by (2, -5) and (-4, 7)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 5}{3 - 6} = \frac{-6}{-3} = 2 [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 -(-5)}{-4 - 2} = \frac{12}{-6} = -2 [/tex].

❌The slopes of Segments AB and CD are not the same (2 and -2). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.

To determine if the given equations are parallel, perpendicular, or neither, ensure both equations are in the slope-intercept form, y = mx + b, where m is the slope.

7. 3x + 2y = 6 and y = -³/2x + 5

Rewrite the first equation in slope-intercept form

3x + 2y = 6

2y = -3x + 6

y = -3x/2 + 6/2

y = -³/2x + 3

The slope of the first equation is -³/2.

The slope of the second equation is -³/2.

✅Both equations have the same slope value of -³/2. Therefore, they are parallel.

8. 3y = 4x + 15 and 9x + 12y = 12

Rewrite both equations in slope-intercept form.

3y = 4x + 15

y = 4x/3 + 15/3

y = ⁴/3x + 5

And

9x + 12y = 12

12y = -9x + 12

y = -9x/12 + 12/12

y = -¾x + 1

The slope of the first equation is ⁴/3.

The slope of the second equation is -¾..

☑️-¾ is the negative reciprocal of ⁴/3. Therefore both AB equations are perpendicular.

9. 8x - 2y = 4 and x + 4y = -12

Rewrite both equations in slope-intercept form.

8x - 2y = 4

-2y = -8x + 4

y = -8x/-2 + 4/-2

y = 4x - 2

And

x + 4y = -12

4y = -x - 12

y = -x/4 - 12/4

y = -¼x - 3

The slope of the first equation is 4.

The slope of the second equation is -¼..

☑️-¼ is the negative reciprocal of 4. Therefore both AB equations are perpendicular.

10. 3x + 2y = 10 and 2x + 3y = -3

Rewrite both equations in slope-intercept form.

3x + 2y = 10

2y = -3x + 10

y = -3x/2 + 10/2

y = -³/2x + 5

And

2x + 3y = -3

3y = -2x - 3

y = -⅔x - 1

The slope of the first equation is -³/2.

The slope of the second equation is -⅔.

❌The slopes of the first equation and second equation are not the same (-³/2 and -⅔). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.

11. -4y = -2x + 8 and 3x - 6y = 6

Rewrite both equations in slope-intercept form.

-4y = -2x + 8

y = -2x/-4 + 8/-4

y = ½x - 2

And

3x - 6y = 6

-6y = -3x + 6

y = -3x/-6 + 6/-6

y = ½x - 1

The slope of the first equation is ½.

The slope of the second equation is ½.

✅Both equations have the same slope value of ½. Therefore, they are parallel.

12. y = 8 and x = -1

The first equation is a horizontal line. The slope of am horizontal line is always zero.

The second equation is a vertical line. The slope of a vertical line is undefined.

❌Therefore, they are neither parallel nor perpendicular.

Answer:

7 times 5x

Step-by-step explanation:

4 plus x and x has value

Answer:

one could be (7*x) (7*4)

Step-by-step explanation:

Answer:

try 15 / 2.25

Step-by-step explanation:

Answer: y=15/4x+35/4

Step-by-step explanation:

Answer:

420 funny number

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

It would be three coconuts hope this helped

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

7 4/10= 7.4

7.4<7.421

Answer:

Step-by-step explanation:

expresion can be simplified is they have like terms such as

x+x=2x

y+2y=3y

expresions can NOT be simplified if they have difrerent variables or just one number suchh as

2x+3y

7y+1

4y+4x

I do not know what is 4r+

Answer:

can - y +2y

9x+6x

4x+x

can't 4y+4x

7y+1

2x+3y

Answer:

hmm, imma have to do the problem

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

The correct answer is D.

Step-by-step explanation:

Option A establishes that 4 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 60 and 12 hours on bagels. In total, $ 90 and 15 hours will be spent, so this option is not correct.

Option B establishes that 2 dozen bagels and 6 dozen muffins will be prepared, thus spending $ 60 and 6 hours on muffins and $ 30 and 6 hours on bagels. In total, $ 90 and 12 hours will be spent, so this option is not correct either.

Option C states that 3 dozen bagels and 1 dozen muffins will be prepared, which will spend $ 10 and 1 hour on muffins and $ 45 and 9 hours on bagels. In total, $ 55 and 10 hours will be spent, so this option is not correct.

Finally, option D establishes that 1 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 15 and 3 hours on bagels. In total, $ 45 and 6 hours will be spent, with which this option is within the predetermined parameters, that is, the expense is less than $ 60 and the time is less than 8 hours.

Answer: The slope of the line can be determined from the gradient equation, rise (y axis)/ run (x-axis)

Hence let (-1, 8) be A and (2, -4) be B. The slope from A to B is (-4-8)/(2-(-1))= (-12)/3= -4

Hence the gradient/ slope of the line is -4.

Step-by-step explanation:

Answer:

graph below

Step-by-step explanation:

Graph in image below

Answer:

66

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

No explanation bc due in 5 mins

Answer:

when x=1 y=7, when x=2 y=10, when x=3 y=13

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

j > - 108

Step-by-step explanation:

Step 1:

j / - 12 > 9          Equation

Step 2:

j > 9 × - 12         Multiply - 12 on both sides

Answer:

j > - 108

Hope This Helps :)

Answer:

j<−108

Step-by-step explanation:

j

−12

>9

Step 1: Simplify both sides of the inequality.

−1

12

j>9

Step 2: Multiply both sides by 12/(-1).

(

12

−1

)*(

−1

12

j)>(

12

−1

)*(9)

j<−108

Answer:

j<−108

Answer:

Attachment given answer

Step-by-step explanation:

I gave you the answer but if you have any questions let me know.

Answer:

6.7

Step-by-step explanation:

This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.

Soh in Soh cah toa

                  So  sin(42)=x/10

                        10 times sin(42)=x

                             Evaluate using a calculator=6.69130606 and so on

                                 Rounded to the nearest tenth is 6.7

So the answer is 6.7

Answer:

The 2-yard pièce of cotton cloth for $13.26

Step-by-step explanation:

2 yards is 6 feet then it would be $2.21 per foot.

The 17 foot piece would cost $3.29 per foot.

To answer this question, you need to determine which one has a lower price per unit.  In this scenario, you must divide the price of the cloths by their length in feet.

For the 2-yard piece of cotton cloth, first convert the length to feet.  There are three feet in a yard, so the cloth is 6 feet.  Then divide:

13.26/6=2.21

For the 17-foot piece of cotton cloth, simply divide:

55.93/17=3.29

The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.

Hope this helps!!

Answer:

binomial and not a polynomial

I Hope this helps u out

Answer:

[tex]the \: slope \: is \to \boxed{-3} \\ the \: y \: intercept \to \boxed{18}[/tex]

Step-by-step explanation:

[tex]the \: solpe \: \boxed{m} = \frac{9 -1 2}{3 - 2} = -3 \\ y = mx + c \\ 12 = (-3)(2) + c \\ c = 12 + 6 = 18[/tex]

Answer:

Sasha stopped working at 12:10 PM

Step-by-step Explanation

8:30 + 3 hours and 40 minutes = 12:10 PM

Mark as brainliest if it's right!

Answer:

12:10 p.m

Step-by-step explanation:

3 hours from 8:30 is 11:30 a.m.

Now we add 30 minutes to 11:30 and you get 12:00

Add the remaining 10 minutes and you get 12:10 p.m

I hope this helped, please mark Brainliest, thank you!