Which statement is true about this argument?

Premises:

If two angles form a linear pair, then they are supplementary.

If two angles are supplementary, then the sum of their measures is 180∘.

Conclusion:

If two angles form a linear pair, then the sum of their measures is 180∘.


A The argument is valid by the law of detachment.

B The argument is valid by the law of syllogism.

C The argument is not valid because the conclusion does not follow from the premises.

D The argument is not valid because the premises are not true.

Answer:

think of the numbers as the grid. zero being the middle and each square being 1 2 3 4 5 6 etc to the right of 0 are your positive, -1 -2 -3 etc move to the left of that line, your other access from zero goes up to positive one positive 2 positive 3 etc, from zero down you would be negative one negative 2 negative 3 etc

Answer:

1) (-7, 8) and (-7, 0) - Undefined Slope.

2) (3, 5) and (-1, 2) - Positive Slope.

3) (2, 4) and (5, 1) - Negative Slope.

4) (6, -3) and (4, -3) - Zero Slope.

1) In the coordinates (-7, 8) and (-7, 0), we can see that the first number in both coordinates (the x point) is -7. If the x values are the same, that means that the line does not change at all horizontally/on the x-axis. The only solution to a line that passes through these points would be a vertical line. Vertical lines always have an undefined slope. To test, use the slope formula with the coordinates. y2 is the y in the second coordinate, y1 is the y from the first coordinate, x1 is the x from the first coordinate, and x2 is the x from the second coordinate.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{0 - 8}{-7 - (-7)} = slope[/tex]   0 - 8 = -8 and -7 - (-7) = -7 + 7 or 0. Any number divided by 0 is undefined.

2) In the coordinates (3, 5) and (-1, 2) there isn't any obvious abnormality in the coordinates that may cause undefined or 0. We can use the slope formula to find if it has a positive or negative slope.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{2 - 5}{-1 - 3} = slope[/tex]   2 - 5 = -3 and -1 - 3 = -4.  [tex]\frac{-3}{-4}[/tex]  simplifies to 3/4, so the slope is positive.

3) (2, 4) and (5, 1) also don't have any repeating numbers in the coordinates so we can find the slope using the formula.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{1 - 4 }{5-2} = slope[/tex]   1 - 4 = -3 and 5 - 2 = 3   [tex]\frac{-3}{3}[/tex] = -1, so the slope is negative.

4) (6, -3) and (4, -3) have the same y values in them, -3. If the y value stays constant then that means the line does not move along the y-axis. This means that it must be a straight line through 1 point on the y-axis. It is a horizontal line. The slope of a horizontal line is always 0 because is straight. You can check using the slope formula.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{-3 - (-3) }{4 - 6} = slope[/tex]   -3 - (-3) = -3 + 3 = 0 and 4 - 6 = -2. [tex]\frac{0}{2}[/tex] = 0. The slope is 0.

Let me know if you have any questions!

Answer:

894

Step-by-step explanation:

Answer:

point

Step-by-step explanation:

the dot has no connectives or no paths

The best describes the geometric figure is a point. SO option B is correct.

A line segment is a part of a line that connects two points which are considered to be its endpoints.

If points A and B are connected by a series of points that extended infinitely in opposite direction then AB is a line.

Therefore, The best describes the geometric figure is a point. SO option B is correct.

Find out more information about line segment here;

brainly.com/question/25727583

#SPJ5

Answer:

see below

Step-by-step explanation:

m/3 + 4 = 7

Subtract 4 from each side

m/3+4-4 = 7-4

m/3 = 3

Multiply each side by 3

m/3*3 = 3*3

m =9

Answer:

X is grater than or equal to 6

Step-by-step explanation:

4x -5 > 2x + 17

+5 > 2x - 5

4x > 2x + 12

--

4

Answer:

3/8\

Step-by-step explanation:

you do one half minus one eight and you get 3/8

Hi there! :)

We are given 2 points. It means we can use the following formula to find the slope:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{0-(-6)}{-2-0\\} \\\frac{0+6}{-2}\\\frac{6}{-2} \\-3[/tex]

So the slope is -3

First, let's write the equation of the line in point-slope form.

y-y1=m(x-x1)

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

y+6=-3(x+0)

y+6=-3x+0

y=-3x+0-6

y=-3x-6

Hope this helps!

~Just an emotional teen who listens to her favorite song "Try Everything"

[tex]SilentNature[/tex]

Answer:

welcome❤ though❤ you can be there in the afternoon and you can be there with me

Answer:

b) more than two ties are too tight

Step-by-step explanation:

20% of 15

15 = 100%

x = 20%

100x = 15 * 20

x = 300/100

x = 3

ps: I always wear my tie loose at any circumstance, guess I'll never be a good businessman with reduced blood flow to the brain =/

Answer:

69

Step-by-step explanation:

by eliminating 20 from 84 we get 64 then add the 3 to get 67 and then we know that we always add 2 to our answers and therefore get 69

Answer:

(x + 3)(x + 4)

x(x+4)+3(x+4)

[tex] {x}^{2} + 4x + 3x + 12[/tex]

[tex] {x}^{2} + 7x + 12[/tex]

Answer:

It's x2 + 7x + 12 by added the two X at the start then added 3 + 4 to get 7 then 3×4 to get 12

Answer:

I think the answer is 1. The problem is unclear though

Step-by-step explanation:

Step-by-step explanation: Given the expression sin(11pi/2 +x) =-1/2. Take the arcsin of both sides. sin⁻¹[sin(11pi/2 +x)]

Answer:

Napakadali lang sagutin nyan pre basic mangiba naman dapat Ang sagot ay SAS hopefully all

Answer:

27/7

Step-by-step explanation:

by calculator..

or you can do these steps

1/4(4t-9)=1/8(t+9) "divided l.h.s and r.h.s by ⅛"

2(4t-9)=t+9.

8t-18=t+9

7t=27

t=27/7

Answer: The inequality is: n ≥ 36/37

Step-by-step explanation:

Let's solve your inequality step-by-step.

n − 5n + 6 ≥ −7(5n−6)−6

----------------------------------------------------------------------------------------------------------------

Step 1: Simplify both sides of the inequality.

−4n + 6 ≥ −41n + 42

----------------------------------------------------------------------------------------------------------------

Step 2: Add 41n to both sides.

−4n + 6 + 41n ≥ − 41n+ 42 + 41n

37n + 6 ≥ 42

----------------------------------------------------------------------------------------------------------------

Step 3: Subtract 6 from both sides.

37n + 6 − 6 ≥ 42 − 6

37n ≥ 36

----------------------------------------------------------------------------------------------------------------

Step 4: Divide both sides by 37.

37n/37 ≥ 36/37

n ≥ 36/37

----------------------------------------------------------------------------------------------------------------

Answer:

n ≥ 36/37

Source: https://www.mathpapa.com/calc.html?q=x+y%3D7%2C%20x+2y%3D11

,  Hope this helps :)

Have a great day!!

9514 1404 393

Answer:

  x = 54

  y = 114

Step-by-step explanation:

The angle marked y° corresponds to the one marked 114°. Corresponding angles in this geometry are congruent, so ...

  y = 114

__

The angle marked (x+12)° and the one marked y° form a linear pair, so are supplementary:

  (x +12)° +114° = 180°

  x +126 = 180 . . . . . . . . divide by °, collect terms

  x = 54 . . . . . . . . . . . . subtract 126

Answer:

She can make 18 bows.

Step-by-step explanation:

0.4 x 18 = 7.2, and you cannot go over since she only has a supply of 7.5.

Hope it helps!

Please mark brainliest if you want to, it'd mean a lot :)

Answer:

skilled readers make use context and predictionskilled readers make use context and predictionskilled readers make use context and prediction

Step-by-step explanation:

Answer:

the answer is 924.8 round it up and you get 925

Step-by-step explanation:

Answer:

The amount is $18548.38 and the interest is $2548.38

Steps for solution:

First you want to use the formula A=P(1+[tex]\frac{r}{n}[/tex])^n*t. A= total amount, P= principle or amount of money deposited, r= annual interest rate, n= number of times compounded per year. and t= time in years. In the problem we have P= $16000, r= 3%, n= 1 and t= 5 years. The first picture is the formula used to find the total amount. After we use the formula A=P+I, since A=18548.38 and P=16000. The second picture represents the interest after 5 years.

Answer:

x>80000

Step-by-step explanation:

3600+1.02x<2000+1.04x=x>80000

Answer:

i got you

Step-by-step explanation:

40% because it is

Answer:

Dont worry man take a deep breath just try your best and if worse case you do bad and on the test take your time and don’t feel pressured

Step-by-step explanation:

Answer:

nope. you only go to summer school if you flunked about 60% of your core subjects. and/or if you also flunked your PAT'S/SAT'S. don't worry buddy.

Answer:

In slope-intercept form, y = -17/34 - 34

Step-by-step explanation:

For the two points, you have (-68, 0) and (0, -34). To get the slope, you take (y-y) / (x-x). Stay consistent on the order you do those. After I did (-34 - 0) / (0 - 68), simplified it, and got a slope of -17 / 34. You are already given the y-intercept, so you just write the equation from there (y = -17/34 - 34)

Answer:

Step-by-step explanation:

For A, 7x=21, it is asking, 7 multiplied by what number is 21? We can try to figure it out. Let's start with 0.

7(0)≠21

Then 1.

7(1)≠21

7(2)≠21

7(3)=21

Therefore, for question a, the answer is 3.

For question b, it's asking 6 minus what is 2.

With this one, we can say it is 4, since 6-4=2.

Now moving on to B.

a) 2x+4=16

We need to isolate x in order to find it's value.

So we can begin with subtracting 4 from both sides, getting us:

2x=12

Then, if we divide both terms by 2, we get x.

x=12/2

x=6.

b)

3 x (z/4)=9

Again, we need to isolate z.

So, we multiply both sides by 4, getting us

3z=36

then we divide by 3

z=36/3

z=12

c) 16-x=2

Here we simply subtract 16 from each side, then flip the signs to get positive x.

So, 16-x=2

-x=-14

x=14

d) 4k=20

This is essentially asking, 4 times what number is 20?

So we can divide both sides by 4 and get

k=20/4

k=5

Answer:

209

Step-by-step explanation:

Find one factor

[tex](x-2)(x^{2} +2x-3)[/tex]

Find one factor

[tex](x-2)(x-1)(x+3)[/tex]

[tex]solution:(x-2)(x-1)(x+3)[/tex]

First:

X = 15

Step-by-step explanation:

So the two angles are congruent, or they are the same angle. So you write the equation as 5x + 9 = 84.

5x + 9 = 84

      -9     -9

5x = 75

(divide) 5 from both sides

x = 15

Second:

X = 27

Step-by-step explanation:

For this one I believe the answer is X = 27 because both equations should equal 180 degrees.

So you write the final equation:

(x + 72) + (3x) = 180

     -72                -72

(combine X's):

4x = 108

Divide both sides by 4

X = 27

Third:

X = 40

Step-by-step explanation:

For this one, the angles match again, so you write it s:

4x - 50 = 2x + 30

    +50           +50

4x = 2x +80

-2x  -2x

2x = 80

Divide both sides by 2

X = 40

End

I super hope this helped!

Maybe brainliest? No pressure!

Let me know if this works or you need more help!

Product of the roots = c/a = c

Hope this helped you- have a good day bro cya)