What is the minimum additional information would you need in order to be able to state that the triangles are congruent by AAS? ​

PX ≅ QX, as ΔGXP ≅ ΔIXQ is congruent by the AAS property.

Given, GHIJ is a parallelogram.

Given, HP ≅ JQ

GH ≅ JI, as both are on opposite sides it is a congruency property.

GP ≅ QI, the definition of congruency.

GP + PH ≅ JQ + QI, segment addition property.

∡PXG ≅ ∡ IXQ, vertical angles are congruent.

GH || JI, opposite sides are parallel

∠ PGH ≅ ∠QIX, alternate interior angles

PX ≅ QX, corresponding parts of congruent triangles are congruent.

ΔGXP ≅ ΔIXQ is congruent by the AAS property.

Therefore, PX ≅ QX

Learn more about congruency at

https://brainly.com/question/7724089?referrer=searchResults

#SPJ1

The  amount of taxes owed on a taxable income of $49,652 is 10,293.44.

The amount of additional tax paid for each new dollar of income received is known as the marginal tax rate. Total taxes paid divided by total income earned is the average tax rate. With a marginal tax rate of 10%, tax would be deducted from the following dollar of income at a rate of 10%.

For instance, if a person has a taxable income of $24,750, they will pay taxes on the first $19,900 of that income at a rate of 10%, and on the remaining $5,000 at a rate of 12%.

Given:

Income= $49652

The above amount lies in the range of 41176- 89075 which has tax rate pf 22%.

So, the amount of taxes

= 49652 x 22%

=49652 x 22/100

= 49652 x 0.22

= 10,293.44

Hence, the amount of taxes owed on a taxable income of $49,652 is 10,293.44.

Learn more about marginal tax rate here:

https://brainly.com/question/12395856

#SPJ1

Answer:

$6,600.44

Step-by-step explanation:

$49,652 falls into the 22% bracket.

Basically you take the taxable amount from each bracket and then multiply each by the corresponding marginal tax rate.

Then we take the income $49,652 and subtract it by the maximum of the last tax bracket which would be $41,175.

$49,652 - $41,175 = $8,477.

Multiply this by 22% = 1,864.94 then add the other brackets' taxes owed which should total to $6,600.44

Answer: $2.80 a day

Step-by-step explanation:

you would need to save at least $2.80 a day, just take the total (19.60) and divide it by the number of days you have till its due, in this case a week (7 days) than divide. 19.20/7= 2.8

Answer:

x = 1

Step-by-step explanation:

3(5x-2)=3x+8-2x

Apply the Distributive Property

15x - 6 3x+8 - 2x

Combine like terms

15x-6= x+8

Rearrange variables to the left side of the equation

15x-x=8+6

Combine like terms

14x 8+6

(I don't know if you want me to answer it)

Answer:

.15 × $154,500 = $23,175 down payment

The area of a circle with a radius r is given by the following formula:

In this case we know that the diameter is 8cm which means that its radius is 4cm. Using 3.14 for pie we get:

Then the answer is 50.24 cm².

Answer: 6:30

Step-by-step explanation: every number you count by 5 and the short hand is the hour hand.

Answer:

Step-by-step explanation:La media, mediana y moda de las edades de 9 estudiantes son 7,67, 9 y 9 respectivamente

Explicación paso a paso:

Medidas de Tendencia Central:

Moda: es el valor que mas se repite en la distribución

9 es el valor que mas se repite

Media: es el valor promedio de la distribución  

μ = ΣXi*fi/n

μ = [3 + 7*3 + 9*5] /9

μ = 7,67

Mediana: es el valor de la posición central en un conjunto de datos ordenados

6  7  7  7  9  9  9  9  9

Mediana = 9

Planning, designing, gathering data, analyzing, creating relevant interpretations, and publishing the research findings are all statistical approaches that go into conducting a study.

The statistical analysis lends meaning to the abstract numbers, giving the data some life. Only when appropriate statistical tests are applied will the results and inferences be accurate. Science's field of statistics deals with gathering, organizing, analyzing, and extrapolating data from samples to the entire population. This necessitates the use of an acceptable statistical test, an adequate study design, and an appropriate study sample selection.  However, if we want additional information about these, a consulting company may be able to assist us. we will benefit more from Silver Lake Consulting for our project.

Learn more about Statistical here-

https://brainly.com/question/23091366

#SPJ4

The constant of proportionality to convert gallons to pints given the information in the table is 8.

The constant of proportionality is the ratio that equates to variables in a directly proportional relationship. A directly proportional relationship is a relationship where the two variables move in the same direction.

The equation for direct proportionality:

y = bx

where:

16 = 2b

b = 16/2 = 8

40 = 5b

b = 40 / 5 = 8

56 = 7b

b = 56 / 7 = 8

To learn more about constant of proportionality, please check: https://brainly.com/question/22620356

#SPJ1

Answer:

45 × 60'× 60'' + 30 × 60'' ( 1⁰ =60')

16200''+ 1800''= 18000''

I hope it wil be helpfull for you.

Answer:

163200 "

Step-by-step explanation:

45 ° 20 '  =

45 °  * 60 minutes/degree * 60 seconds/minute   + 20' x 60 seconds/minute

=  45 * 60 * 60   +  20 * 60 = 163200 seconds

Answer: an even number is divisible by 2, so that means it has 2 as a factor

Step-by-step explanation:

Answer:Two is a prime because it is divisible by only two and one.

Step-by-step explanation:

All the other even numbers are not prime because they are all divisible by two.

The condition that satisfies the criteria for rectangles is

m∠SRZ=40°. Option A

This is further explained below.

Generally, The diagram illustrates the rectangle RSTW, which contains the angle RTW with a measurement of forty degrees.

1. The sides SR and TW are perpendicular to one another as opposed sides of the rectangle. Next, the angles SRZ and RTW are alternative inner angles. The alternative inner angles theorem states that because they are congruent, mSRZ must equal 40 degrees. This option should be selected.

2. The angles STZ and RTW are complimentary to one another (they sum up to 90 degrees), and then

m∠STZ=90°-40°=50°. This choice is not a valid option.

3. The SRW angle represents a right angle (in a rectangle all angles are right angles). According to the textbook definition of a right angle,

m∠SRW=90°. This choice is not a valid option.

4. Angle TWR is a right angle (in a rectangle all angles are right angles). According to the textbook definition of a right angle,

m∠TWR=90°. This choice is not a valid option.

Read more about rectangles

https://brainly.com/question/15019502

#SPJ1

CQ attached

The probability that a customer loses on their first two bottles and wins on their third bottle is 0.968

The likelihood of an event happening is gauged by probability.

The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.

The chance of every event in a sample space is 1, overall.

∵ the customer can not win on first or second bottle i.e.

0.2×0.2×0.8 = 0.032

∴probability that a customer loses on their first two bottles and wins on their third bottle is given by:

= 1 - 0.032

= 0.968

To know more about probability please visit:

https://brainly.com/question/16722133

#SPJ4

The two expressions are:

The greatest common factor of the two expressions is found below:

The greatest common factor of the two expressions is 4x²u⁴

Answer:

si Noew

Step-by-step explanation:

no puede ser porque es muy esxtrqño

The solution to the fraction -1/2 + 1/6 is -1/3

The expression is given as

-1/2 + 1/6

Rewrite the terms of the expression as equivalent fractions

So, we have the following equation

-1/2 + 1/6 = -3/6 + 1/6

Take the LCM of the equation

So, we have the following equation

-1/2 + 1/6 = (-3 + 1)/6

Evaluate the sum

So, we have the following equation

-1/2 + 1/6 = -2/6

Simplify the quotient

-1/2 + 1/6 = -1/3

Hence, the value of the fraction is -1/3

Read more about fractions at

https://brainly.com/question/1622425

#SPJ1

Using a discrete probability distribution, it is found that:

1. The table is completed at the end of the answer.

2. The expected earnings for a single play of the game are of $1.5. Since $3 is greater than the average earnings, a person should not pay $3 to play this game.

The expected value, also called the mean, of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For this problem, we have that:

The table completed with these probabilities is given at the end of the answer.

Hence the expected earnings for the game are given as follows:

E(X) = 1/2 x 0 + 1/6 x (1 + 3 + 5) = $1.5.

If a person paid $3, the expected earnings would be of:

1.5 - 3 = -$1.5.

Negative earnings, hence the person should not pay $3 to play this game.

More can be learned about discrete probability distributions at https://brainly.com/question/24802582

#SPJ1

Answer:

23cm

Step-by-step explanation:

in this case, you don't have to actually care both the 4 because it is not a side. whoever did that is trying to trick you. now you are left with 7cm,6cm, and 10cm.

10+6+7=23

Answer:

3

The answer is three cuase I did the math but it's hard to explain on here

Answer:

then answer is never going to give you up never going to let you down

The number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 9876 ways.

The box contains 400 computer chips. Of these 400 chips 24 are defective and 376 are good.

A quality control inspector samples 2 computer chips.

The number of ways to select at least 8 defective chip is:

n (At least 8 defective chip) = n (1 defective chip) + n (2 defective chips)+n (3 defective chips)+n (4 defective chips)+n (5 defective chips)+n (6 defective chips)+n (7 defective chips)+n (8 defective chips)

The number of ways to select 1 defective chip is:24C1*400C1=24*400=9600  ways.

The number of ways to select 2 defective chips is: 24C2*400C0=276*1=276ways.

n (At least 1 defective chip) = n (1 defective chip) + n (2 defective chips)

                                             = 9600+276

                                             = 9876

Thus, the number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 9876 ways.

learn more about of probability here

https://brainly.com/question/14840206

#SPJ4

Answer:

  1/3

Step-by-step explanation:

You want to know the slope of the line through points (10, 4) and (7, 3).

The slope of the line through two points (x1, y1) and (x2, y2) is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For the given points, the slope is ...

  m = (3 -4)/(7 -10) = -1/-3 = 1/3

The slope of the line is 1/3.

If Tricia buys 18 apples  for $27 and the total cost c of the apples is proportional to the number of number of apples a that she buys, then the cost of one apple is $1.5 and the relationship between c and a is c = 1.5a

The cost of 18 apples = $27

Here we have to use unitary method to find the cost of one apple

The cost of one apple = 27/18

= $1.5

Consider the total cost of the apples as c and the number of apples she bought as a

Then the relationship will be

c ∝ a

c = ka

Here the k is the constant that will be the cost of one apple

The cost of one apple = $1.5

Then the relationship will be

c = 1.5a

Hence, if Tricia buys 18 apples  for $27 and the total cost c of the apples is proportional to the number of number of apples a that she buys, then the cost of one apple is $1.5 and the relationship between c and a is c = 1.5a

Learn more about unitary method here

brainly.com/question/22056199

#SPJ1

Answer

It'll take Jake 40 minutes to type the 1,000 word paper.

Explanation

Working at that same speed, let the number of minutes it will take Jake to type 1,000 word paper be x minutes.

25 words = 1 minute

1,000 words = x minutes

We can write a mathematical relationship for this by cross mutiplying

(25) (x) = (1,000) (1)

25x = 1,000

Divide both sides by 25

(25x/25) = (1,000/25)

x = 40 minutes

Hope this Helps!!!

The graph that results from placing the coordinates on the graph is shown below.

Consequently, the graph's coordinates are (-1,1), (0,3), and (1,5)

We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.

There are 3 methods for graphing a linear equation:

1.displaying the graph of a linear equation using two points.

2.Use a linear equation's slope and y-intercept.

3.using a linear equation's x- and y-intercepts.

So we take 3 values to substitute in place of x like

-1,0,1

values of y we get are

1,3,5

Now placing the co ordinates on the graph we get the following graph,

Therefore, the co-ordinates constituting the graph are (-1,1), (0,3), (1,5)

to learn more about solving linear equations graphically, click here:
https://brainly.com/question/1060504

#SPJ13

Given data

The length of the square L = 25 in

Use the formula for the perimeter of a square below, to find the perimeter.

Use the formula for the area of a square below, to find the area.

The College employee in total count will be 60 professors and 168 lecturers in the college community.

As given total number of faculty member in the school is 228.

Also we have information that for every 14 lecturers the college community has 5 professors counting ratio.

∴ Let's Combine the number of professor and number of lecturers and make one group as a set.

∴ Total of one set will be 5 + 14 = 19.

Now as we have total 228 members and we have the set value as 19 so we can find the total number of set that can be possible with the given members as follows [tex] \frac{228}{19} = 12 [/tex]

Hence total number of set will be 12.

As one set contains 5 number of professors so 12 sets will contain in total ( 12 * 5 ) = 60 number of professors.

As one set contains 14 number of lecturers so 12 sets will contain in total ( 12 * 14 ) = 168 number of lecturers .

For more details about college/school proportion visit the link below

https://brainly.com/question/27049030

#SPJ9

The mean of the sample will be less than 200 pounds is .571 using standard deviation

What is standard deviation?

The standard deviation is a statistician's way of gauging how much a group of numbers can vary or be dispersed. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high.

Given that ,
mean = μ = 196

standard deviation = σ= 22
P(x < 200) = P((x - μ) / σ < (200 - 196) / 22)

= P(z < 0.18)

Using the standard normal.

P(x < 200) = 0.5714

Probability = 0.5714

Hence the Probability will be .571 using standard deviation

Learn more about standard deviation, by the following link.
https://brainly.com/question/475676
#SPJ4

40 Km/h will be the average speed of the lorry for the overall journey from factory P to Q and again from factory Q to P.

The distance between the factories can be calculated by the Speed-Time relation.

Total Distance = Total Speed x Total Time = 45Km x 2 = 90Km

To calculate the Average Speed, Total Distance and Total Time are the essential parameters.

Total Distance = 90 + 90 = 180Km

Total Time = 2 + 2.5 = 4.5h

As per the formula of Average speed:

                          Average speed = Total Distance/ Total Time

                           Average speed = 90+90Km / 4.5h

                                                      = 40Km/h

Learn more about Average speed:

https://brainly.com/question/4931057