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proof showing that alternate interior angles are
congruent.
We know that lines a and b are parallel and that line c
is a transversal because that is given. We can tell that
angles 2 and 5 are congruent because
V angles are congruent. Angles 5 and
7 are congruent because
angles by
parallel lines cut by a transversal are congruent.
Therefore, angles 2 and 7 are congruent based on the

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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Answer:

2)

Step-by-step explanation:

y is 1 to y is 3

x is 1 to x is 3

the scale 1/3

If the resulting coordinate is rotated 90° about the origin in the counterclockwise direction, the final coordinate will be at A'' = (-4, -7), B'' =(-5, -4), C'' = (-4, -3) and D'' =(-3, -4)

Given the coordinate of the vertices ABCD given as

A = (-5, 1)

B = (-2, 2)

C = (-1, 1)

D (-2, 0)

If the coordinates are translated by (x − 2, y + 3), the resulting coordinates will be at:

A' = (-5-2, 1+3) = (-7, 4)

B' = (-2-2, 2+3) = (-4, 5)

C' = (-1-2, 1+3) = (-3, 4)

D' (-2-2, 0+3) = (-4, 3)

If the resulting coordinate is rotated 90° about the origin in the counterclockwise direction, the final coordinate will be at (-y,x)

A'' = (-4, -7)

B'' =(-5, -4)

C'' = (-4, -3)

D'' =(-3, -4)

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The apothecary system uses the minim as the basic unit of liquid measure and the grain as the basic unit of solid measure.

What is apothecary measurement?

What are the units of the apothecary system?

The grain, scruple (20 grains), dram (3 scruples), ounce (8 drams), and pound—a ancient scale of weight used in the British Isles for measuring and distributing pharmacological goods (12 ounces).

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Answer:

64 and 34

Step-by-step explanation:

Given

a + b = 8 ( square both sides )

(a + b)² = 8² = 64

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

(a + b)² = 64 ← expand left side

a² + b² + 2ab = 64 ← substitute ab = 15

a² + b² + 2(15) = 64

a² + b² + 30 = 64 ( subtract 30 from both sides )

a² + b² = 34

The population of interest is: A. all people in Emerald, Queensland.

The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.

Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.

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Answer:

Step-by-step explanation:

x= -2

y=2

Answer:

use the distance formula : √(x2-x1)^2 +(y2-y1) ^2

Chebyshev's Theorem can be applied to any data set

Chebyshev's Theorem: Chebyshev's Theorem estimates the minimum proportion of observations that fall within a specified number of standard deviations from the mean. This theorem applies to a broad range of probability distributions. Chebyshev's Theorem is also known as Chebyshev's Inequality.

it is asked that Chebyshev's theorem is applicable to,

Chebyshev's Theorem is a fact that applies to all possible data sets. It describes the minimum proportion of the measurements that lie must within one, two, or more standard deviations of the mean

So, we can say that it is applicable to any data set

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Answer: 55.5 (A.)

Step-by-step explanation:

Since angle A = 29 and angle B = 41, angle C must be equal to 110

180 = m<A + m<B + m<C

180 = 29 +41 + m<C

180 = 70 + m<C

110 = m<C

Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.

Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.

Law of Sines: sinA/a = sinB/b = sinC/c

sinA/a = sinB/b

sin29/41 = sin41/b

b(sin29/41) = sin41

b = 41(sin41)/(sin29)

b = 55.48

b = 55.5

Answer:Range

Step-by-step explanation:the set of all images of the elements in the domain of a function is called the Range .

The set of all images of the elements in the domain of a function is called the range. The range is the set of all possible outputs or y-values that a function can produce for its corresponding inputs or x-values in the domain.

The range can be determined by either analyzing the function algebraically or by graphing it. It is important to note that not all functions have a defined range, as some may produce infinite or undefined outputs. The range plays a crucial role in understanding the behavior and characteristics of a function, as it helps identify its domain and any possible restrictions or limitations.

The set of all images of the elements in the domain of a function is called the range of the function. The range represents the output values of a function that result from applying the function to every element within its domain. In other words, the range consists of all possible values that the function can produce when it is applied to the elements in its domain.

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Answer:

center:(0,4) radius:6

Step-by-step explanation:

In the expression 8ab + 3b + 16 - 4a ,

(a) the number of terms are four .

(b) the factors of 8ab are  1 , 8 , a , b , 8a , 8b , ab , 2ab .

(c) the third term "16"is a constant .

In the question ,

the expression is given as 8ab + 3b + 16 - 4a .

Part(a)

the number of terms that are there in the expression is 4 ,

the terms are 8ab , 3b , 16 , 4a .

Part(b)

the first term is 8ab ,

the factors of 8ab is 1 , 8 , a , b , 8a , 8b , ab , 2ab .

Part(c)

the constant term is 16 , because there is no variable .

Therefore , In the expression 8ab + 3b + 16 - 4a ,

(a) the number of terms are four .

(b) the factors of 8ab are  1 , 8 , a , b , 8a , 8b , ab , 2ab .

(c) the third term "16"is a constant .

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Answer:

No, only people in 12th. everything else is a promotion

Answer:

18

Step-by-step explanation:

I just know

Answer: 22 meters

Step-by-step explanation:

I dont need to show

The probability that the ace of diamonds and a black card will come is 1 / 51 .

Case A :

probability of first getting an ace of diamonds = 1 / 52

probability of getting a black card given first card is ace of diamond = 26 / 51

Hence , probability that the ace of diamonds and a black card will come is  ( 1 / 52 ) * ( 26 / 51 ) = ( 1 / 102 )

Case B :

probability of first getting a black card = ( 26 / 52 )

probability of getting an ace , given first card is a black card = ( 1 / 51 )

Hence , the probability that the ace of diamonds and a black card will come is  ( 26 / 52 ) * ( 1 / 51 ) = ( 1 / 102 )

P ( A ∪ B ) = P ( A ) + P (B ) + P ( A ∩ B )

                  = ( 1 / 102 ) + ( 1 / 102 )

                = 1 / 51 .

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Answer:

B.) \(6^{\frac{1}{2}}\)

Step-by-step explanation:

Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\).  For this problem, let

a=6

m=2

So,

\(\sqrt6=6^{\frac{1}{2}}\)

The decimal form of the given terms are

2/20 = 0.1

3/20 = 0.15

4/20 = 0.2

5/20  = 0.25

Carlos knows that the decimal form of 1/20= 0.05

The decimal form of the first term is

2/20=2×(1/20)

Substitute the value of 1/20

=2×0.05

=0.1

The decimal form of the next term is

3/20= 3×(1/20)

= 3×0.05

= 0.15

The decimal form of the next term is

4/20= 4×(1/20)

=4×0.05

=0.2

The decimal form of the next term is

5/20= 5×(1/20)

= 5×0.05

=0.25

Hence, the decimal form of the given terms are

2/20 = 0.1

3/20 = 0.15

4/20 = 0.2

5/20  = 0.25

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Answer:

a

Step-by-step explanation:

its a because 12cm×10cm×9cm = 1,080cm

Solution

The intercept is only on y axis (0,-5)

The vertex (-1, -2)

The axis of symmetry is x = -1

The Domain is all real numbers

The range is

Answer:

\( \boxed{\sf D. \ x^2 + 2} \)

Step-by-step explanation:

\( \sf Simplify \ the \ following: \)

\( \sf \implies (2 {x}^{2} + 2x + 3) - ( {x}^{2} + 2x + 1)\)

\( \sf - ( {x}^{2} + 2x + 1) = - {x}^{2} - 2x - 1 : \)

\( \sf \implies (2 {x}^{2} + 2x + 3) - {x}^{2} - 2x - 1\)

\( \sf Grouping \ like \ terms: \)

\( \sf \implies (2 {x}^{2} - {x}^{2}) + (2x - 2x)+ (3 - 1)\)

\( \sf 2 {x}^{2} - {x}^{2} = {x}^{2} : \)

\( \sf \implies {x}^{2} + (2x - 2x)+ (3 - 1)\)

\( \sf 2x - 2x = 0 : \)

\( \sf \implies {x}^{2} + 0+ (3 - 1)\)

\( \sf 3 - 1 = 2 : \)

\( \sf \implies {x}^{2} +2\)

Centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment: FALSE

As it is given in the description, centipedes have only one pair of legs on each body segment. So, the whole statement becomes False.

Therefore, the statement "centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment" is FALSE.

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Complete question:

Centipedes differ from millipedes in that centipedes are cylindrical, have poison claws, and 2 pairs of appendages per body segment. TRUE or FALSE

If Rene started with the below equation;

The addition and subtraction properties of equality states in order to keep both sides of the equation balanced, you have to subtract or add the same value to both sides.

But Rene added 12 to the left side and subtracted 3 from the right side instead of adding or subtracting the same value to both sides.

So all we need to do balance the equation again is add 15 to the right side of the equation;

Answer:

41.2

Step-by-step explanation:

By the alternate interior angles theorem, the angle of depression is congruent to the angle of elevation.

This means that tan(27)=21/x.

x(tan 27)=21

x=21/(tan 27), which is about 41.2

48397*15%*5= 36297.75

answer = 36397.75