Peter and Vivian each wrote a proof for the statement: if 22 23, then 21 is supplementary to 23.
1
Peter used
because
2
Peter's proof:
By the linear pair theorem, 21 is supplementary to 22. So, m/1 + m/2 = 180°. Since 2223, then 22 = 23. Applying the transitive property
of equality, m/1 + m/3 = 180°, which means 21 is supplementary to 23.
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3
Vivian's proof:
Suppose 21 is not supplementary to 23. So, m/1 + m23 180°. By the linear pair theorem, 21 is supplementary to 22. By the definition of
supplementary angles, m/1 + m/2 = 180°. Applying the Transitive Property, m/1 + m23 # m/1 + m2. By the subtraction property of
equality, this implies that m/3 m/2. By definition of congruence, m/3 m/2. However, m/3 m/2 contradicts the given.
What type of proofs did they use?
e because
B. Vivian used

Answer:

Step-by-step explanatihelpson:

is c hope it

Answer:

I can't see a solution from what you have given us

The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.

Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Mean = 10.5 and Total no. of females = 5 = random variable

Now, the Probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5:
P(x > 10.5)

Z = ( x- μ )

=  (σ / [tex]\sqrt{n}[/tex])

=  10.5 / 5

=  2.1

The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.

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Answer:137

Step-by-step explanation:

Answer:

To find the mass in grams, multiply the number of kilograms by the unit rate, 1000 grams per kilogram.

Explanation:

For every kilogram, there are 1000 grams. So, if you have 12 kilograms, you have 12,000 grams.

Answer: -7/1

Step-by-step explanation: When graphing both points and drawing a line through it, count how many times it goes up or down and then count how many times it goes left or right.

Answer:

y=7x

Step-by-step explanation:

Answer: The barrel can only hold less than 42 gallons of water, which means w<42.

The missing side of the right triangle is b = 35.7

Remember that we know that for a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse.

Here we know that c is the hypotenuse, so we can write:

a^2 + b^2 = c^2

We also know that:

a = 13

c = 38

And we want to find the value of b, so we can write:

b^2 = c^2 - a^2

b = √(c^2 - a^2)

b =  √(38^2 - 13^2)

b = 35.7

That is the value of the missing side.

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Answer:

B

Step-by-step explanation:

To eliminate one of the variables from a system of equations, we can multiply one or both equations by constants and then add the equations together. In this case, the correct method to use is to multiply the first equation by 3 and the second equation by 4, and then add the equations together. This will eliminate the y-variable from the system of equations. Thus, the correct answer is option B: multiply the first equation by 3 and the second equation by 4, and then add the equations together.

The correct is option B (i.e.Multiply the first equation by 3 and the second

the equation by 4. Then add the equations.)

multiplying the first equation by 3 and the second equation by 4:

12x - 18y = 54

12x + 16y = 20

subtracting the first equation from the second equation:

     ( 12x - 18y = 54) - (12x + 16y = 20)

                     -2y = -34

                         y = 17

substituting y = 17 in the first equation:

4x - 6(17) = 18

4x = 106

x = 26.5

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Layla can make the box up to 5centimeter long.

       V = l x w x h

Here it is given that,

volume= 45cm³

width= 3cm

height=3cm

volume = width × height × length

45cm³=3cm×3cm×length

45cm³=9cm²×length

length=45cm³÷9cm²

          =5cm.

Hence, Layla can make the box up to 5centimeter long.

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What are variables ?

There are certain things in real life that never change, like your birthday. However, other factors, such as temperature, age, height, etc., change with place and time. These amounts might be referred to as variables because they are changeable.

A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an equation or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.

Typically, "x" and "y" are used to denote unknowable integers. However, it is not required; any letter will do.

If I have $50 in my bank account and i have to make it $130 by mowing a lawn that means i need to earn on $80 by mowing the lawn

($130 - $50 =$80)  

I can earn $8 per hour by mowing the lawn which means in only need to work for 10 hours to earn $80  ($8 per hour x 10 hours= $80 )

Chang and Carlotta method use different operations to simplify the expression in same order

Chang's method uses variable but Carlotta doesn't

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Answer:G(x) = 3/4 |x|, nevertheless that is the same that G(x) = |3/4x|.

Step-by-step explanation:

Note that given that 3/4 is less than 1 the original function is compressed.

- Take care <3

The function that can be represented by this graph is defined as follows:

f(x) = 2x³ + x - 3.

The function is defined looking at the features of the graph.

The first feature which we look at is the y-intercept, as the graph of the function crosses the y-axis at y = -3, hence the function can be defined as follows:

f(x) = ax^n + x - 3.

The function has an inflection point, as it has a change in it's concavity, thus the function has a second derivative of the first degree, meaning that the function is of the third degree, that is:

n = 3.

The x-intercept is when the function crosses the x-axis, meaning that when x = 1, y = 0, then the leading coefficient a is obtained as follows:

0 = a + 1 - 3

a = 2.

Which means that the function rule can be given by:

f(x) = 2x³ + x - 3.

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Applying the exterior angle theorem, the measure of the exterior angle to angle X is: B 112.55°.

In other to find the measure of the exterior angle to angle X, we have to recall the theorem known as the exterior angle theorem, which states that the measure of an exterior angle is equal to the two interior remote angles that are opposite to it.

In triangle XYZ, angle Y and Z are the remote interior angles. We are given the following:

Measure of angle Y = 38.25°

Measure of angle Z = 74.3°

Therefore:

The measure of the exterior angle to angle X = measure of angle Y + measure of angle Z

Substitute

The measure of the exterior angle to angle X = 38.25° + 74.3°

The measure of the exterior angle to angle X = 112.55°

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Given restriction is an example of Time-of-day restrictions

The correct answer is an option (C)

In this question we have been given a friend tells you that tellers

are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday through Saturday.

We need to identify the type of restriction in this example.

We know that time-of-day restrictions are the restrictions that often used to limit the hours during which a user is allowed to log into or access a system.

This type of restrictions helps prevent unauthorized access outside that user's normal working hours .

Therefore, given restriction present in this example: Time-of-day restrictions

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The complete question is:

A friend of yours who works in the IT department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday

through Saturday. What is this restriction an example of?

A. User auditing

B. Least privilege

C. Time-of-day restrictions

D. Account verification

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

TRUE: The given condition is correct that m ≤ 10 and m > 4.

For the given statement;

m ≤ 10 and m > 4, the number for the value of m be;

m = 5, 6, 7, 8, 9, 10.

Thus, the given condition is correct that m ≤ 10 and m > 4.

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In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. ,m∠2 = 40°.

An unending, one-dimensional figure with no breadth is a straight line. It consists of an infinite number of points connected on either side of a point. A straight line has a 180° measurement.

In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. Alternatively said, it divides two smaller congruent angles. Given below is an image of an angle bisector of ∠AOB.

The graphic XYQ is the straight line, m∠3 = 40°, and m∠4 = 25°. YZ is the angle bisector of ∠s.

m∠2 =  40°  the reason is YZ is the angle bisector of ∠s

∠s = m∠2  + m∠3  

m∠2  = m∠3

therefore m∠2 =  40°

m∠1  + m∠2 +  m∠3  + m∠4 = 180° the reason is XYQ is the straight line.

substitution of all values

m∠1  + 40° +  25° + 40° = 180°

m∠1  + 105° = 180°

m∠1 =  75°  (straight line, substitution of all values )

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Answer: 99.

If you take 275 and subtract it by 176, it should be 99, if I’m correct.

The radius of a circle is 5 feet, 23.55 feet is the length of an arc.

The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc.

The arc length formula may be used to get a circle's arc length from its radius and central angle.

The distance between two places in a curve's section is known as the arc length of a circle. Any portion of a circle's circumference is an arc. An arc's angle at any given location is the angle created by the two line segments connecting that point to the arc's endpoints.

Given that,

radius (r) = 5 feet

angle (θ) = 3π/2

Now as we know,

Arc length = radius x subtended angle in radians

or, Arc length = 5 feet x (3π/2 radians)

or, Arc length = 15π/2

or, Arc length = 23.55 feet

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Answer:24

Step-by-step explanation: 4(4÷2 + 4) = 24/1 = 24

Spelled result in words is twenty-four.

Divide: 4 / 2 = 2

Add: the result of step No. 1 + 4 = 2 + 4 = 6

Multiple: 4 * the result of step No. 2 = 4 * 6 = 24

This calculator adds two fractions. When fractions have the same denominators calculator simply adds the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.

Answer:

24

Step-by-step explanation:

We have to solve this according to BODMAS Theorem.

That is,

B ⇒ Brackets

O ⇒ Of

D ⇒ Division

M ⇒ Multiplication

A ⇒ Addition

S ⇒ Subtraction

Let us solve it now.

4 ( 4 ÷ 2 + 4 )

4 ( 2 + 4 )

4 × 6

24

There are 90000 palindromes 10-digit numbers.

In this question we need to find the number of 10-digit integers are there which are palindromes.

We know that a palindrome is a number that reads the same forward and backward.

The numbers that remain same even if they are reversed.

For exa., 131, 5225

We can observe that for even digit palindromes first half should be equal second half in reversed order.

we can generalize it as variables:

abcdeedcba, for a not equal to 0

So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.

There are 10 digits in total (0 - 9)

Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)

The second, third, fourth and fifth digit has all 10 choices.

So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.

Therefore, the total 10-digit numbers which are palindromes =  90000

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The box plot for given minimum, maximum, median, Q1 and Q3  is plotted below.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

The given data set is 14, 13, 13.5, 16, 14, 15.5, 14.5.

Order of data is 13, 13.5, 14, 14, 14.5, 15.5, 16.

Here, minimum is 13

Maximum is 16

Median is 14

Lower quartile range(Q1) is 13.5

Upper quartile range(Q3) is 15.5

Therefore, the box plot for given minimum, maximum, median, Q1 and Q3  is plotted below.

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Answer:

0.93 km

Step-by-step explanation:

The White Chuck Glacier lost 70% of its area between 1958 and 2002, which means that its area was reduced by 70/100 = <<70/100=0.7>>0.7.

Since the glacier-covered 3.1 km. in 1958, its area was reduced by 0.7 * 3.1 km? = <<0.7*3.1=2.17>>2.17 km.

Therefore, the area of the White Chuck Glacier in 2002 was 3.1 km. - 2.17 km? = <<3.1-2.17=0.93>>0.93 km.

According to the question,

Given data,

The correlation between cost and distance is 0.791.

The farther the house is from a first station, the higher cost of damage tends to be.

the correlation between cost and distance

The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.

How is correlation measured?

The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.

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The ingredient will the bakery department need in order to make 3 banana bread Loaves is 3/2 cup butter, 9/4 cup brown sugar, 6 eggs, 27/4 cups flour, 3 teaspoon baking soda, 3/4 teaspoon salt, and 9 ripe bananas.

The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given:

The ingredient for the 1 loaf of bread,

Butter = 1/2 cups,

Brown sugar = 3/4 cups,

Eggs = 2,

Flour = 2 1/4 cups,

Baking soda = 1 teaspoon,

Salt = 1 / 4 teaspoon,

Ripe bananas = 3

To make 3 banana bread loaves, we have to multiply the ingredient by 3,

Thus, the ingredients for 3 3 banana bread loaves will be,

Butter = 1/2 × 3 = 3/2 cups

Brown sugar = 3/4 × 3 = 9/4 cups,

Eggs = 2 × 3 = 6,

Flour = 2 1/4 = 9 / 4 × 3 = 27 / 4 cups,

Baking soda = 1 × 3 = 3 teaspoons,

Salt = 1 / 4 × 3 = 3 / 4 teaspoons,

Ripe bananas = 3 × 3 = 9

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The percentage of change is 10.17%.

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given are the two measures 3.25 centimetres and 2.95 centimetres

The percentage change, of a quantity, is the ratio of the difference in the quantity to its initial value multiplied by 100.

Therefore, The percentage of change = [(3.25-2.95)/3.25]x100

= 0.3/3.25x100

= 10.17%

Hence, the percentage change = 10.17%

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Answer:

B

Step-by-step explanation:

[tex]7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}[/tex]