Why can you use Linear Pairs and Vertical Angles to prove lines are parallel?

Using the Law of Syllogism, the conclusion that you can draw from the two given premises is: C. If a figure is a square, then it is not a triangle.

The law of Syllogism is a method of deductive reasoning which involves drawing a conclusion from two premises.

Applying this law, there are usually three statements.

Statement 1: If a, then b (premise)

Statement 2: If b then c (premise)

Statement 3: If a, the c (conclusion)

In the question above, in the same vein, from the first and second statement, we can conclude that:

If a figure is a square, then it is not a triangle, because a square has 4 sides and a triangle doesn't.

Therefore, using the Law of Syllogism, the conclusion that you can draw from the two given premises is: C. If a figure is a square, then it is not a triangle.

Learn more about the Law of Syllogism here:

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Answer:

12+4x=52

x=10

Step-by-step explanation:

the amount of money for each ride times x amount of rides is the 4x part. then -12 from the left and from 52. then divide 40÷4 equalling 10

Answer:

Fraction: y= 3/2x-3

or

Decimal: y= 1.5x-3

Step-by-step explanation:

Turn 3x-2y=4 into y=mx+b form

Subtract 3x from both sides

-2y=4-3x

Divide -2 from both sides

y= -2+3/2x

y= 3/2x-2

Since the line is parallel, use slope 3/2

Put point (6,6) into equation to find b

6=3/2(6) + b

6=9 + b

-3 = b

Put into equation

y= 3/2x-3

Answer:

Step-by-step explanation:

y= 3/2x-3

Step-by-step explanation:

The denominators are 2, 3, and 4.  The least common denominator is the least common multiple (LCM) of these numbers.

To find the LCM, first write the prime factorizations.

2 = 2¹

3 = 3¹

4 = 2²

The LCM is therefore 2² × 3 = 12.

Rewrite the fractions with a denominator of 12.

⁷/₄ + ¹/₂ + ⁵/₃ + ¹/₃ + ¹/₄ + ¹/₂

= ²¹/₁₂ + ⁶/₁₂ + ²⁰/₁₂ + ⁴/₁₂ + ³/₁₂ + ⁶/₁₂

Now that the denominators are the same, we can simply add the numerators.

= ⁽²¹⁺⁶⁺²⁰⁺⁴⁺³⁺⁶⁾/₁₂

= ⁶⁰/₁₂

= 5

Answer:

y = x - 5 :)

Step-by-step explanation:

use point-slope form to create an equation for this line.

find the slope first by subtracting the y-values from each other, and the x-values from each other.

-3-(-8) = 5                       <- y-value

2-(-3) = 5                        <- x-value

5/5 = 1                            <- slope

plug the slope and one of the points into the point-slope equation.

y - (-3) = 1(x - 2)

y + 3 = x - 2

subtract 3 from both sides.

y = x - 5

graph this by placing a point on -5 on the y-axis, and going up by 1 and right by 1 for the slope of 1.

hope this helped! xoxxo

Step-by-step explanation:

Hey there!

The line passes through points; (-3,-8) and (2,-3).

Now; use formula for double point.

[tex](y - y1) = \frac{y2 - y2}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y + 8) = \frac{ - 3 + 8}{2 + 3} (x + 3)[/tex]

Simplify it.

[tex](y + 8) = \frac{5}{5} (x + 3)[/tex]

[tex]y = x + 3 - 8[/tex]

[tex]y = x - 5[/tex]

Therefore, the equation is y= x-5.

Hope it helps...

Answer:

x ≈ 39.8

Step-by-step explanation:

cos∅ = adjacent / hypotenuse

Since we are given a right triangle, we can use trigonometry to help us solve for missing values:

cos34° = x/48

x = 48cos34°

x = 39.7938

x ≈ 39.8

Answer:

1

Step-by-step explanation:

the answer will be D.

Answer:

D

Step-by-step explanation:

According to Newton's second law of motion, mass is inversely proportional to acceleration. As mass increases, acceleration decreases and the opposite.

Answer:

x = -9

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

kjhghjklkjhgh

Answer:

i think it's fractions

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

5 less than a number is equivalent to 1 more than three times the number

number = x

x - 5 = 3x + 1

now im going to get the numbers and variable on different sides

x - 5 + 5 = x

3x + 1 - 3x = 1

x + 3x = 4x

1 - 5 = -4

4x = -4

lastly im going to divide each side by 4

4x / 4 = x

-4 / 4 = -1

x = -1

Answer:

170

Step-by-step explanation:

You have to multiply the amount of ounces you want converted by 28.35. Then you have your ounces converted to grams.

If you use this formula then you would have, 170 X 28.35 = 170.1

When you round 170.1 to the nearest whole number you will get 170.

The conversion of 6 ounces into grams is 170 grams.

Multiplication or division by a numerical factor, selection of the correct number.

Multiply the number of ounces you want to be converted by 28.35. Use the conversion.

1 ounces = 28 .35 grams

6 ounces = 6 x 28.35 grams

6 ounces = 170 grams.

Hence, 6 ounces is equal to 170 grams.

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Answer:

10

Step-by-step explanation:

multiply the numerators or the top numbers 5/7 * 14/1

14*5=70

divide it by the denominator or the bottom number 70/7=10

Answer:

-30.78!

Step-by-step explanation:

Answer:

x = (d + b/c)/a

or x = d/a + ba/c

Step-by-step explanation:

1. ax - b/c = d

2. ax = d + b/c

3. x = (d + b/c)/a  (can also be written as x = (d + b/c)*1/a)

4. x = d/a + ba/c

Step 1 is given.

In step 2, b/c was added to both sides of the equation. This works because division is ahead of subtraction in the order of operations.

In step 3, both sides were divided by a.

(optional) In step 4, 1/a was multiplied by the values inside the parenthesis as a means to further simplify the equation.

Answer:

170

Step-by-step explanation:

Ann, Ben, and Cindy were eating strawberries.

The ratio of the numbers of berries they ate is 5:5:7.

If Cindy ate 30 strawberries less than Ann and Ben together,

find:

what is the total number of strawberries the three of them ate?

solution:

add the ratios 5 + 5 + 7 = 17

since Cindy ate 30, less than Ann and Ben together so, the equation is

7x = 5x + 5x - 30

7x - 10x = -30

x = 30/3

x = 10

ann 5 x 10 = 50

ben 5 x 10 = 50

cindy 7 x 10 = 70  

total            = 170

Answer:

2.50

Step-by-step explanation:

Answer:

$108

30% discount=30/100*(108)

.......(30*108)/100

........3240/100

=$32.4

Discount=$108-$32.4=$75.6

Step-by-step explanation:

Answer:

$32.4

Step-by-step explanation:

Answer:

r i r

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

First, distribute. 12r + 16 = -16r - 40

Then get r on one side by adding 16r to both sides then subtracting 16 from both sides.                  28r = -56

Finally, divide by 28 on both sides to get r by itself.

r = -2

Answer: 896

(1)/(2)12*14*6=504

(1)/(2)8*7*14=392

504+392=896

Answer:

a^2 b^3 (b^2 - a b + a^2)

Step-by-step explanation:

Factor the following:

a^2 b^5 - a^3 b^4 + a^4 b^3

Hint: | Factor common terms out of a^2 b^5 - a^3 b^4 + a^4 b^3.

Factor a^2 b^3 out of a^2 b^5 - a^3 b^4 + a^4 b^3:

Answer: a^2 b^3 (b^2 - a b + a^2)

Answer:

I think it would be group B due to the fact that they are the closest to 25 g

Step-by-step explanation:

Answer:

B Group A 28.5 g, 28.4 g, 28.5 g

Step-by-step explanation:

Answer:

X=60+6×2

Step-by-step explanation:

Sorry im not great at math but i think that this would be the answer because Murphy is 6 years younger than Emma. It then says TWICE so i assume it means multiply by two. 6×2= 12 so Emma is 12 years older.

Answer:

5x^3 + 6x^2 + 14z

Step-by-step explanation:

When combining like terms with exponents, you just add them together as long as they have the same exponent. 3x^3 + 2x^3 = 5x^3

9z+5z=14z

6x^2 has no like terms.

Answer:

its d you welcome

Step-by-step explanation:

you need -6 times 2 = 12 in absolute value

Answer: 12

Step-by-step explanation:

12/-1=12.000000

Answer:

Decimal form: 1.6

Fraction Form: 1    6/10

Answer:

y=1/2x+4

Step-by-step explanation:

Because I took the quiz and got it right  ;)

Answer:

y=1/2x+4 i took the quiz too

tep-by-step explanation: