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In geometry "rule of detachment," states that if P leads to Q and P is true, then Q must also be true

The area of mathematics known as geometry is concerned with the dimensions, sizes, forms, and angles of a wide range of everyday objects. The terms "geometry" and "metron" are derived from Ancient Greek words that mean "measuring" and "Earth," respectively.

The most widely applied deductive reasoning premise is the Law of Detachment. This law states that the conclusion is valid whenever a conditional statement and its hypothesis are true. The conclusion can therefore be "separated" from the conditional.

According to the geometry's "rule of detachment," if P leads to Q and P is true, then Q must also be true. Despite the fact that it is stated in a different format, this is still a conditional statement.

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Answer:

answers are given below

Step-by-step explanation:

Stem      Leaf

4             46688

5             2357789

6             5688

7              4689

Answer:

109.

Step-by-step explanation:

62+41+(2)+(4)       we can remove the brackets:

= 62 + 41 + 2 + 4

= 109.

204

You get 204 because first you divided 85 and 5 which equals 17.

Then you multiply 12 and 17 which equals 204.

I hope that this helps! :)

Answer:

204 miles

Step-by-step explanation:

So first we have to divide 85 by 5 which we get 17 then we multiply 17 by 12 which is 204. I hope this help but sorry I'm not that good at explaining thing

To score an A, the score on the third test should be 79.

To lose your B grade, you have to score less than 49 on the third test.

The average of a set of numbers is the sum of the numbers divided by the total numbers.

Average = sum of scores / total numbers

90 = (86 + 85 + x) / 3

90 = (191 + x ) / 3

Where x is the score on the third test

In order to determine the value of x, take the following steps:

Multiply both sides of the above equation by 3

90 x 3 = 191 + x

270 = 191 + x

Subtract both sides of the equation by 191

270 - 191 = x

x = 79

The equation that represents the score that would make you lose the B grade is:

80 = (86 + 85 + x) / 3

80 = (191 + x) / 3

In order to determine the value of x, take the following steps:

Multiply both sides of the equation by 3

80 x 3 = (191 + x)

240 = 191 + x

Subtract 191 from both sides of the equation:

x = 240 - 191

x = 49

To lose your B grade, you have to score less than 49 on the third test.

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Answer: “The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.”

      - https://www.mathplanet.com

Step-by-step explanation:

Answer:

A=2

B=-1

Step-by-step explanation:

a=(23−25)⋅ (4−5)=2

b=(97−123)/(18+8)=−1

Answer:   The three angle bisectors of a triangle intersect at a single point. The point of concurrency of the angle bisectors is called the incenter. The three altitudes of a triangle are concurrent.

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

A repeating decimal can be a rational number.

Rational

Rational and irrational numbers are 2 of the broadest categories within real numbers.

Writing the Number as a Fraction

Rational numbers are defined as numbers that can be written as simple fractions. Simple fractions have integers for the numerator and denominator. This means neither the numerator nor denominator is a fraction or decimal. The number above is 0.25 repeated. When 2 digits are repeated you can place that number over 99 to create an equivalent fraction.

Since this number can be written as a fraction, it must be a rational number.

Bar Notation

Additionally, repeated decimals are always rational. In the example above, the digits .25 are repeated. If you don't want to write it as a fraction, you can use bar notation. Bar notation helps to shorten repeated decimals and show that they are rational. In this notation, you place a bar over the digits that are repeated.

Answer:

1. 12

2. 36

Step-by-step explanation:

3 * 2 / 3

multiply & divide by 2

= 3 * 2 * 2 / ( 3 * 2)

= 12 / 6

12 (twelve) sixths

Study

Answer:

36 tenths

Explanation:

Well the first part to working this out is understanding that there are 10 tenths in a whole. So 3 wholes is 30 tenths.

The second part is 3 over 5 or 3/5. To write this in tenths you have to effectively double it (if you double the denominator you must double the numerator) What ever you do to the top you must do to the bottom and vice versa. So that 3 over five becomes six over ten. Add them together now you can add these fractions because they are over the same denominator (their bottom number is the same)

30 tenths plus 6 tenths equals 36 tenths.

answer:

-30

explanation:

-5/2=-2.5

-2.5*12=-30

Answer:  4 players can play and still have 8 cards each.

39÷8=4.875

Answer:

4 people

Step-by-step explanation:

39 cards / 8 cards = 4.87500

each person must have 8 cards, so only 4 people can play

The measure of the missing angle is 112°.

When you need to find some interior angle of polygons, you can apply the  formula for the sum of interior angle. This formula relate the number of sides of the polygon with the sum of interior angle. The formula is presented below.

S = (n – 2 )*180º, where:

S= sum of interior angles

n= number of sides of the given polygon

The given figure shows:

Applying the formula, S = (n – 2 )*180º, you find:

S=(5-2) * 180

S=3*180

S=540°

Now  that you know the sum of the interior angles for the given polygon, thus:

x+105+118+75+130=540

x+428=540

x=540-428

x=112°

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Answer:

39:2 (simplified)

Step-by-step explanation:

books : students

351 : 18

(divide by 9)

39 : 2

Answer:

if d = -3

1. 2d(-3d)

= 2(-3) × -3(-3)

= -6 × 9

= -54.

2. 8d + 14

= 8(-3) + 14

= -24 + 14

= -10.

3. -3d

= -3(-3)

= 9.

4. 12d - 28

= 12(-3) - 28

= -36 - 28

= - 64.

5. -5d -8

= -5(-3) - 8

= 15 - 8

= 7.

*can't see the last one tho

Ian got a discount of 3.4 and percent discount is 10% after buying the items he wants in the local grocery store

Given data

price before tax and discount = $34

price after discount = $30.60

solving for discount

$34  -  $30.60 =  $3.4

percent discount

= 3.4 / 34 * 100 / 1

= 0.1 * 100

= 10%

Therefore we can say that Ian got a discount of 3.4 and percent discount is 10% after buying the items he wants in the local grocery store

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Answer:

The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).

Step-by-step explanation:

The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).

Answer:

x= -5

Step-by-step explanation:

(3x-4) (x+5).=0

=3x-4x+5=0.

x=-5

The guarantee period of the electronic components by Accrotime manufactures is 38 months.

mean = μ = 24 months

standard deviation = σ = 5 months

2 years = 24 months

a) P(x < 24)

= P[(x - μ ) / σ < (24 - 28) / 5]

= P[(x - μ ) / σ < -0.8

= P(z < -0.8 )

Using z table,

= 0.212

Percentage = 21.2%

b) Use standard normal table,

Refund percentage = 12%

P(Z > z) = 12%

= 1 - P(Z < z) = 0.12

= P(Z < z) = 1 - 0.12

= P(Z < z ) = 0.88

= P(Z < 0.174 ) = 0.94  

z = 0.174

Using z-score formula,

x = z ×σ  + μ

x = 1.74 × 5 + 28

x = 36.7

The guarantee period = 38 month

Thus, the guarantee period of the electronic components by Accrotime manufactures is 38 months.

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Answer:

Is there any picture to go with it perhaps?

Step-by-step explanation:

Answer:

The measure of angle 3 is 30 (C).

Step-by-step explanation:

m<1, m<2, and m<3 have a sum of 180        Linear Pair Postulate

So 2x + 3x - 20 + x - 4 = 180

6x - 24 = 180

6x = 204

x = 34

Then you substitute and get 34 - 4 for angle 3 which = 4

Hope this helps!

The correct answer is [a]. As value of the x increases the value

According to this function, the value of f(x) grows closer to a constant as the value of x rises.

A relationship between a group of the inputs and one output each is referred to as a function.

The function specified is;

[tex]f(x)= (\frac{1}{5})^{x}-2[/tex]

According to this function, value of f(x) travels in the direction of a constant as the value of x rises.

(-2,00) is function's domain.

The y-intercept of function is at (0,-2).

The performance is the deteriorating.

As a result, statement that this function advances toward a constant value as x rises is accurate.

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The solution for the trigonometric expression 2sin²θ = -sinθ are θ = 0, π, 2π/3, 7π/6, and 11π/6 which are lies between 0 ≤ θ<2π.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

It is given that:

The trigonometric expression is:

2 sin²θ = -sinθ where 0 ≤ θ< 2π

2 sin²θ + sinθ = 0

sinθ(2sinθ + 1) = 0

sinθ = 0    or   sinθ = -1/2

θ = 0, π  or  θ = 2π/3, 7π/6, 11π/6

θ = 0, π, 2π/3, 7π/6, and 11π/6

Thus, the solution for the trigonometric expression 2sin²θ = -sinθ are θ = 0, π, 2π/3, 7π/6, and 11π/6 which are lies between 0 ≤ θ<2π.

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The inequality represented by the given number line is; -4 ≥ x ≥ 5

From the given number line we can find the inequality. Some of the rules are that;

For a shaded circle pointing to the left means less than or equal to (≤)

For a shaded circle pointing to the right means greater than or equal to (≥).

For an unshaded circle pointing to the left means less than (<)

For a shaded circle pointing to the right means greater than (>)

Thus, applying the above to the inequality line gives;

-4 ≥ x ≥ 5

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The equation of the ellipse, circle, and parabola will be written as (x + 9)² / 4 + (y - 1)² / 16 = 1, (x + 4)² + (y - 3)² = 40, and y = - (x + 3)²/ 4 + 1, respectively.

Equation A is transformed as,

16x² + 4y² + 96x - 8y + 84 = 0

16(x² + 6x + 9 - 9) + 4(y² - y + 1 - 1) + 84 = 0

16(x + 9) - 144 + 4(y - 1)² - 4 + 84 = 0

16(x + 9)² + 4(y - 1)² = 64

(x + 9)² / 4 + (y - 1)² / 16 = 1

This is the equation of the ellipse.

Equation B is transformed as,

x² + y² + 8x - 6y - 15 = 0

x² + 8x + 16 + y² - 6y + 9 - 15 = 16 + 9

(x + 4)² + (y - 3)² = 40

This is the equation of the circle.

Equation C is transformed as,

x² + 6x + 4y + 5 = 0

x² + 6x + 9 - 9 + 4y + 5 = 0

y = - (x + 3)²/ 4 + 1

This is the equation of the parabola.

The graph of the function is given below.

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