Select the correct answer.
Consider figures 1 and 2 shown in the coordinate plane. Figure 1 has been transformed to produce figure 2.
-00
55-
N
2
N
ON
6
80
Which notation describes this transformation?
OA. (x,y) = (x,-)
OB. (x,y)=(x-4,y - 8)
OC. (x,y) = (x - 8,y - 8)
OD. (x,y)= (-2,-y)
9.
8.

The converse of corresponding angles theorem that proves that p║r is stated in the proof explained below (see proof below).

If two corresponding angles are congruent to each other, the converse of the corresponding angles theorem states that the lines on which both corresponding angles lie are parallel to each other.

The vertical angles theorem is the theorem that justifies that when two angles are vertically opposite to each other, then they are congruent angles.

Given that, angle 1 is congruent to angle 5, to prove that lines p and r are parallel to each other, the statements and reasons stated below explains why they are parallel lines:

Statement                               Reason                                          

1. <1 ≅ <5                                 Given

2. <4 ≅ <1                              a. vertical angles theorem

3. <4 ≅ <5                             b. transitive property

4. p║r                                    c. converse of corresponding angles                        

                                                 theorem

Therefore, the converse of corresponding angles theorem that proves that p║r is stated in the proof explained above.

Learn more about the converse of corresponding angles theorem on:

https://brainly.com/question/7066290

#SPJ1

If Javier paid $92 for 5 notebooks and 3 pencils and Laura paid $56 for 2 notebooks and 6 pencils, then the price of each notebook is $16 and that of each pencil is $4, calculated using linear equations.

As per question statement, Javier paid $92 for 5 notebooks and 3 pencils while Laura paid $56 for 2 notebooks and 6 pencils.

We are required to calculate the price of each notebook and each pencil.

To solve this question, let us assume that the price of each notebook is  "x" and that of each pencil is "y". Now, we will form two linear equations, each with the two assumed variables, based on the conditions mentioned in the question statement, and solving the equations, we will obtain our desired answer.

Since Javier bought 5 notebooks and 3 pencils for $92 and the price of each notebook is assumed to be "x" and that of each pencil is assumed to be "y", we can write that

[tex][(5x+3y)=92]...(1)\\or,5x = 92-3y\\or,x=\frac{(92-3y)}{5}...(2)[/tex]

And in Laura's case, she bought 2 notebooks and 6 pencils for $56, i.e.,

[tex][(2x+6y)=56]...(3)\\or, 2(x+3y)=56\\or, (x+3y)=\frac{56}{2}\\ or,(x+3y)=28\\or,x=(28-3y)...(4)[/tex]

Now, equating (2) and (4), we get,

[tex]x=\frac{(92-3y)}{5}=(28-3y)\\ or, \frac{(92-3y)}{5}=(28-3y)\\ or, (92-3y)=5(28-3y)\\or, 92-3y=140-15y\\or,(15y-3y)=140-92\\or,12y=48\\or,y=\frac{48}{12}=4[/tex]i.e., Price of each pencil is $4.

Now, using (y = 4) in the equation (4), we get,

[tex]x=[28-(3*4)]\\or,x=(28-12)\\or,x=16[/tex]i.e., Price of each notebook is $16.

Hence, the correct answer is

option(C) $16 for a notebook and $4 for a pencil.

To learn more about Linear Equations, click on the link below.

brainly.com/question/27664510

#SPJ9

The labels in the spreadsheet are in column B, while the score values are in column A. Column C's cells are where the command operations take place. The test results are distributed between 82.516 and 87.85 by adding and subtracting the test score confidence value of 2.667 from the mean of 85.183. Excel instantly translates the formula to the result when you enter the command functions and press "Enter," giving the confidence level of 97% given the alpha value of 0.03, or 3%.

The Excel Statistical Functions section contains the CONFIDENCE Function. The confidence interval for a population mean will be calculated using the normal distribution, and it will then be returned. For financial analysis, Excel's confidence interval tool is quite helpful. That enhances financial decision-making by enabling financial analysts to anticipate and adjust for a variety of financial goals. To do this, financial data is graphically represented together with a set of distribution parameters. Based on the statistical data offered by the normal distribution, analysts can make better financial decisions. For example, they can determine the relationship between revenue made and income spent on luxuries.

To know more about excel confidence interval function, visit:

https://brainly.com/question/14601622

#SPJ4

Answer: The diagram shows a rectangle.

Step-by-step explanation:

A rectangle Expression for "a": a = 12b - 30,Expression for "b": b = (12b² - 30b) / (12b - 30),Length of the rectangle: Length = a = 12b - 30,Perimeter of the rectangle: Perimeter = 2 × (13b - 30)

Let's break down the given information step by step:

The area of the rectangle is given as 12b² - 30b.

The expression for "a":

The area of a rectangle is equal to its length (a) multiplied by its width (b). So, set up the following equation:

Area = Length ×Width

12b² - 30b = a × b

To find the expression for "a," divide both sides of the equation by "b":

a = (12b² - 30b) / b

Simplify the expression for "a":

a = 12b - 30

The expression for "b":

From the same equation as above,  that:

Area = Length × Width

12b² - 30b = a × b

To find the expression for "b," divide both sides of the equation by "a":

b = (12b² - 30b) / a

Substitute the value of "a" from the previous expression:

b = (12b² - 30b) / (12b - 30)

The length of the rectangle:

The length of the rectangle is represented by "a," so the expression for the length is: a = 12b - 30

The perimeter of the rectangle:

The perimeter of a rectangle is given by the formula: Perimeter = 2 ×(Length + Width)

Since the rectangle has two pairs of equal sides (opposite sides are equal in a rectangle), the expression for the perimeter will be:

Perimeter = 2 × (a + b)

Substitute the value of "a" from the expression we found earlier:

Perimeter = 2 × ((12b - 30) + b)

Simplify the expression for the perimeter:

Perimeter = 2 ×(13b - 30)

To know more about rectangle  here

https://brainly.com/question/15019502

#SPJ2

The expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks is 4(700t- 750c) .

What is an expression in math example?

time taken by tatenda to mow a square meter of lawn = t seconds

time taken by Ciara  to mow a square meter of lawn = c seconds

area mowed by tatenda in a week = 700 square meters

area mowed by Ciara in a week = 750 square meters

the expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks

time taken by tatenda for mowing in 4 weeks = 4 * 700 * t seconds

time taken by Ciara for mowing in 4 weeks = 4 * 750 * c seconds

more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks = [4 * 700 * t ] - [4 * 750 * c]

= 4(700t- 750c)

Therefore, the expression used to calculate how many more seconds Tatenda spends than Ciara spends mowing lawns during 4 weeks is 4(700t- 750c).

Learn more about mathematical expression

brainly.com/question/14462529

#SPJ4

The total number of games won by Jamie is not 11 according to the conditions given in the question.

What is an equation?

The equation is illustrated as a mathematical statement having an equal symbol in between two expressions, '='. It depicts that both sides of the equal sign are equal to each other.

Calculation of the number of games played by Jamie

Let us assume that x and y be the number of games that Jamie and Imani have won

According to the question, Imani has won 5 fewer games than Jamie i.e.

y = x - 5    —-- 1

The total number of games won by Jamie and Imani together is 30

x + y = 30

Using equation 1, put the value of y,

x + x - 5 = 30

2x - 5= 30

Now, substitute x by 11, and we get that the equality does not net

Thus, we can conclude that 11 is not the number of games won by Jamie

Hence, the total number of games won by Jamie is not 11 using the given equations.

To learn more about the equations, visit here:

https://brainly.com/question/13763238

#SPJ4

Answer:

slope = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m = [tex]\frac{4-0}{0-(-3)}[/tex] = [tex]\frac{4}{0+3}[/tex] = [tex]\frac{4}{3}[/tex]

Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator and teacher support for allowing students to miss class for the group sessions.

Elementary education,  can as well be described as the  primary education, which is the first stage of education that is followed in the traditional  formal education,  children at  about age 5 to 7 are those that are usually found in the elementary seetings of school.

Its should be noted that Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator .

Learn more about Elementary School on:

https://brainly.com/question/25887038

#SPJ4

the inequality is:

$38 + $3*x < $80

And the solution is:

x < 14.

We know that Violet's plan has a flat cost of $38 plus $3 per gigabyte.

So, if we define x as the number of gigabytes that Violet uses, then the monthly cost is given by:

C(x)=  $38 + x*$3

And she wants to spend less than $80 per month, so we can write the inequality:

$38 + $3*x < $80

Solving that for x we get:

$3*x < $80 - $38 = $42

x < $42/$3

x < 14

We conclude that she needs to use less than 14 gigabytes per month.

If you want to learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Answer:

Step-by-step explanation:

$1.94.Step-by-step explanation:Initial box of figurine = 32Price increase = 2.32Current worth = $144.24Let x be the initial cost of boxes of figurine. (32 * x) * 2.32 = $144.24.74.24x = $144.24.x = $144.24/74.24= $1.94.Therefore the original cost of the box of figurine is $1.94.

If a player is standing 10 feet from the net, he could make approximately option (b) 5 baskets.

What is Distance?

A basketball player recorded the number of baskets he could make depending on how far away he was standing from the net.

The distance from the net in feet is plotted against the number of baskets made.

Now, we see from the graph that when the distance from the net in feet is 10, the ordinate of the point is 5.

So, he could make approximately 5 baskets.

So, the answer is

Using the best fit line, if a player is standing 10 feet from the net, he could make approximately option (b) 5 baskets.

Learn more about distance

brainly.com/question/18246609

#SPJ4

The complete question is -

A basketball player recorded the number of baskets he could make depending on how far away he stood from the basketball net. The distance from the net (in feet) is plotted against the number of baskets made as shown below. Distance from Net vs. Number of Baskets 25 20 15 . Number of Baskets 10 5 0 0 2 10 12 4 6 8 Distance from Net (feet) Using the best-fit line, approximately how many baskets can the player make if he is standing ten feet from the net?

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the vertices of the pre-image are given as follows:

D(-5,2), E(1,5), F(0,-1).

The vertices of the transformed image are given by:

D'(-2, -5), E'(-5,1), F(1,0).

From this, we the rule is given by:

(x,y) -> (-y,x).

Which is equivalent to the rotation rule of a rotation of 270º clockwise.

Hence:

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

$32.52

Step-by-step explanation:

Hope it helps! =D

Chlorine will be more reactive.

From the question, we are to predict whether the atoms of chlorine or atoms of sulfur would be more likely to attract electrons

The electronic configuration of chlorine (Cl) is

2,8,7

This means Cl needs only one electron to complete its octet configuration

and

The electronic configuration of sulfur (S) is

2,8,6

This means sulfur needs two more electrons to complete its octet configuration

Since chlorine needs fewer electrons to complete its octet configuration, then it will be more likely to attract electrons.

Thus, chlorine will be more reactive.

Learn more on Reactivity of elements here: https://brainly.com/question/23767405

#SPJ1

Answer:

25/11

Step-by-step explanation:

Convert to improper fractions

25/2 ÷ 11/2

take reciprocal of divisor and multiply

25/2 x 2/11

50/22

25/11

[tex]{ \bold{(i)}} \: { \blue{ \tt{4.125}}}[/tex]

[tex]{ \bold{(ii)}} \: { \blue{ \tt{1.50}}}[/tex]

Step-by-step explanation:

[tex]{ \bold{(i)}} \: { \green{ \bold{ \frac{3}{8}}}} \times { \green{ \bold{11}}}[/tex]

[tex] = { \green{ \bold{0.375}}} \: \times \: { \green{ \bold{11}}}[/tex]

[tex] = { \red{ \tt{4.125}}}[/tex]

[tex]{ \bold{(ii)}} \: { \green{ \bold{ \frac{3}{4}}}} \: \times \: { \green{ \bold{2}}}[/tex]

[tex] = { \green{ \bold{0.75}}} \: \times \: { \green{ \bold{2}}}[/tex]

[tex] = { \red{ \tt{1.50}}}[/tex]

If A,B, and C are the letters selected and we use A twice, B twice, and C once. The number of ways different passwords exist in this scenario are 30.

A password, sometimes known as a passcode (in devices made by Apple, for instance), is a hidden piece of information that is typically a long string of characters and is used to verify a user's identity. Passwords were always thought to be memorized, but today's average person has access to a huge number of password-protected services, making it difficult to remember a different password for each one. The secret is kept by a party known as the claimant, and the person confirming the claimant's identity is known as the verifier, according to the nomenclature of the NIST Digital Identity Guidelines. The verifier can determine the identity of the claimant when the claimant successfully uses a recognized authentication technique to show the verifier that they know the password.

A, B and C are selected

A is used twice B is used twice and C is once

Total ways = 5!/2!.2! = 30

To learn more about password ,visit:

https://brainly.com/question/14580131

#SPJ4

Answer:

24

Step-by-step explanation:

Answer:

[tex]\frac{15}{56} a^2[/tex]

Step-by-step explanation:

Answer:

124.8 miles 

Step-by-step explanation:

We know that if the rate of change of distance with respect to time remains constant, then the distance and time are proportional .Given : A small airplane flew 104 miles in 50  minutes. Let x be the distance traveled in 1 hour. Also, it is given that Then we have the following proportional equation:-

Hence, it can fly 124.8 miles in an hour.

The answer is 4/8 or 1/2 or 0.5 or 50%

Step-by-step explanation:

A nickel has two faces, heads and tails
Equation of probability = Number of chances/Total Numbers of chances

So, 4 chances of heads / 8 chances of heads or tails, thus, there is a chance of 50% if Harry tosses the coin 4 times to get a head

The mean absolute deviation of the data is 0

Given that

          24, 26, 28, 28, 30, 30, 32, 32, 34,36

To find

So, according to the question

We have,

          24, 26, 28, 28, 30, 30, 32, 32, 34,36

                    [tex]mean = \frac{sum\;of\;data}{number\;of\;data}[/tex]

                              = [tex]\frac{24+26+ 28+ 28+ 30+30+ 32+ 32+ 34+36}{10}[/tex]

                              = [tex]\frac{300}{10}[/tex]

      mean of data = 30

For mean absolute deviation of the data, first we have to find the difference of each data value from mean of data.

So,

      24 - 30 = -6

      26 - 30 = -4

      28 - 30 = -2

      28 - 30 = -2

      30 - 30 =  0

      30 - 30 =  0  

      32 - 30 =  2

      32 - 30 =  2

      34 - 30 =  4

      36 - 30 =  6

                   ∑D = | (-6-4-2-2+0+0+2+2+4+6) |

                   ∑D = 0

                MAD  = [tex]\frac{The \;sum \; of \; data \;after \; subtracting \;it's \;mean }{number \;of \;data}[/tex]

                MAD  = [tex]\frac{\sum D}{10}[/tex]

                MAD  = [tex]\frac{0}{10}[/tex] = 0

the mean absolute deviation of the data = 0.

To learn more about mean please click on the link:

https://brainly.com/question/10528201

#SPJ9

Answer:

c is the correct answer!

Answer:

[tex] {} {7}^{x} = 40353607[/tex]

[tex]x = log_{7}(40353607) [/tex]

[tex]x = 9[/tex]

Answer:

D. Rhombus

Step-by-step explanation:

The most specific name for this figure is a rhombus.

Hope this helps!

Please mark as brainliest if correct!

Answer: the unknown number is -4.

Step-by-step explanation:

Hope this helps!

Answer:

-4

Step-by-step explanation:

6x-18=-42

6x=-42+18

6x=-24

x=-24/6

x=-4