HELP ME PLSSSS!!! The Parker's family owns a house , but have only paid $200,000 of the $500,000 total cost? They also have 2 cars. One car is paid off and worth $20,000. The other car they bought for $30,000 and have paid $15,000 towards. Other assets they have total $100,000. What is the family net worth?

Answers

Answer 1

Answer:

335,000 is the Parker family's NET WORTH

Step-by-step explanation:

The car they own is 20,000; then they  have paid $200,000 of the $500,000; then on the other car 15,000 of the 30,000; and the other assets (things they own) are worth 100,000. It all adds up to 335,000

SOO:

20,000 + 200,00 + 15,000 + 100,000 = 335,000$

Answer 2

The Parker's family net worth is $20,000

What is net worth?

Net worth can be defined as the total assets minus total outside liabilities of an individual or a company.

House = $500,000

Asset = $200,000

Liability = $300,000

Cars:

Asset = $35,000

Liability = $15,000

Other assets = $100,000

Total assets = $200,000 + $35,000 + $100,000

= $335,000

Total liability = $300,000 + $15,000

= $315,000

Net worth = Total assets - Total liability

= $335,000 - $315,000

= $20,00

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Related Questions

The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released. He used that data to create a simulation to predict the probability that future customers will cancel their preorders.

According to the manager’s model, what is the probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released?
StartFraction 1 over 16 EndFraction
StartFraction 1 over 8 EndFraction
One-fourth
One-half

Answers

Answer:

1/16

Step-by-step explanation:

1/16 is the answer

Answer:

the person above me is correct

The manager of a video game store found that 35 of the 140 people who preordered the latest baseball

I need help this is geometry 

I need help this is geometry

Answers

Answer: 6 a: 1=30 2=44, 3=106 4=30

Step-by-step explanation:

well, 3 is the opposite of 106 so they are equal, 2 is the opposite of 44 so they are equal, then you can just take the straight line and subtract the ones around it from 180 to find the 1 or 4, so 180-106, then 74-44=30. then because 1 and 4 are on opposite sides, they are equal. Sorry for not having enough times for all problems, but to help with 6 and 7, just remember that opposites are equal (you can use in 6b and 7a) and the if they make a straight line they make 180 degrees (use in 7b)

helppppp please will give brainliest ​

helppppp please will give brainliest

Answers

Answer:

The answer is A

Step-by-step explanation:

A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 4.5 minutes and the standard deviation was 0.70 minutes.
a. What fraction of the calls last between 4.50 and 5.30 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
b. What fraction of the calls last more than 5.30 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
c. What fraction of the calls last between 5.30 and 6.00 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
d. What fraction of the calls last between 4.00 and 6.00 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
e. As part of her report to the president, the director of communications would like to report the length of the longest (in duration) 5 percent of the calls. What is this time? (Round z-score computation to 2 decimal places and your final answer to 2 decimal places.)

Answers

Answer:

(a) The fraction of the calls last between 4.50 and 5.30 minutes is 0.3729.

(b) The fraction of the calls last more than 5.30 minutes is 0.1271.

(c) The fraction of the calls last between 5.30 and 6.00 minutes is 0.1109.

(d) The fraction of the calls last between 4.00 and 6.00 minutes is 0.745.

(e) The time is 5.65 minutes.

Step-by-step explanation:

We are given that the mean length of time per call was 4.5 minutes and the standard deviation was 0.70 minutes.

Let X = the length of the calls, in minutes.

So, X ~ Normal(\(\mu=4.5,\sigma^{2} =0.70^{2}\))

The z-score probability distribution for the normal distribution is given by;

                           Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = population mean time = 4.5 minutes

           \(\sigma\) = standard deviation = 0.7 minutes

(a) The fraction of the calls last between 4.50 and 5.30 minutes is given by = P(4.50 min < X < 5.30 min) = P(X < 5.30 min) - P(X \(\leq\) 4.50 min)

    P(X < 5.30 min) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{5.30-4.5}{0.7}\) ) = P(Z < 1.14) = 0.8729

    P(X \(\leq\) 4.50 min) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{4.5-4.5}{0.7}\) ) = P(Z \(\leq\) 0) = 0.50

The above probability is calculated by looking at the value of x = 1.14 and x = 0 in the z table which has an area of 0.8729 and 0.50 respectively.

Therefore, P(4.50 min < X < 5.30 min) = 0.8729 - 0.50 = 0.3729.

(b) The fraction of the calls last more than 5.30 minutes is given by = P(X > 5.30 minutes)

    P(X > 5.30 min) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{5.30-4.5}{0.7}\) ) = P(Z > 1.14) = 1 - P(Z \(\leq\) 1.14)

                                                              = 1 - 0.8729 = 0.1271

The above probability is calculated by looking at the value of x = 1.14 in the z table which has an area of 0.8729.

(c) The fraction of the calls last between 5.30 and 6.00 minutes is given by = P(5.30 min < X < 6.00 min) = P(X < 6.00 min) - P(X \(\leq\) 5.30 min)

    P(X < 6.00 min) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{6-4.5}{0.7}\) ) = P(Z < 2.14) = 0.9838

    P(X \(\leq\) 5.30 min) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{5.30-4.5}{0.7}\) ) = P(Z \(\leq\) 1.14) = 0.8729

The above probability is calculated by looking at the value of x = 2.14 and x = 1.14 in the z table which has an area of 0.9838 and 0.8729 respectively.

Therefore, P(4.50 min < X < 5.30 min) = 0.9838 - 0.8729 = 0.1109.

(d) The fraction of the calls last between 4.00 and 6.00 minutes is given by = P(4.00 min < X < 6.00 min) = P(X < 6.00 min) - P(X \(\leq\) 4.00 min)

    P(X < 6.00 min) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{6-4.5}{0.7}\) ) = P(Z < 2.14) = 0.9838

    P(X \(\leq\) 4.00 min) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{4.0-4.5}{0.7}\) ) = P(Z \(\leq\) -0.71) = 1 - P(Z < 0.71)

                                                              = 1 - 0.7612 = 0.2388

The above probability is calculated by looking at the value of x = 2.14 and x = 0.71 in the z table which has an area of 0.9838 and 0.7612 respectively.

Therefore, P(4.50 min < X < 5.30 min) = 0.9838 - 0.2388 = 0.745.

(e) We have to find the time that represents the length of the longest (in duration) 5 percent of the calls, that means;

            P(X > x) = 0.05            {where x is the required time}

            P( \(\frac{X-\mu}{\sigma}\) > \(\frac{x-4.5}{0.7}\) ) = 0.05

            P(Z > \(\frac{x-4.5}{0.7}\) ) = 0.05

Now, in the z table the critical value of x which represents the top 5% of the area is given as 1.645, that is;

                      \(\frac{x-4.5}{0.7}=1.645\)

                      \({x-4.5}{}=1.645 \times 0.7\)

                       x = 4.5 + 1.15 = 5.65 minutes.

SO, the time is 5.65 minutes.

10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2 ​

Answers

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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The area of a rectangle is given by the expression x^2 + 6x – 16. What are the dimensions of the rectangle?


(x+4) by (x+4)
(x+4) by (x-4)
(x+8) by (x-2)
(x-8) by (x+2)

Answers

Answer:

I don't no answer sorry sorry

find the sum of all the integers from 1 to 1000

Answers

Answer:

500500

Step-by-step explanation:

intergers are whole numbers which are not fractions

I need help ASAP pls

I need help ASAP pls

Answers

Answer:

-38

Step-by-step explanation:

10 + 28 = 38 so to check it 10- (-38)=28

A box contains 2 red marbles, 5 green marbles and 8 blue marbles. Find the probability of the different events.

P ( 3 blue ) =
P (blue & green)

Answers

The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

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Use geometry to evaluate

Use geometry to evaluate

Answers

Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!

Use geometry to evaluate
Use geometry to evaluate

Please solve in the picture!

I know the answer is that BC is not the longest side but I need an explanation

Please solve in the picture!I know the answer is that BC is not the longest side but I need an explanation

Answers

Answer:

Step-by-step explanation:

As we know that from a theorem,

A greater angle of a triangle is opposite a greater side. Let ABC be a triangle in which angle ABC is greater than angle BCA; then side AC is also greater than side AB. For if it is not greater, then AC is either equal to AB or less.

As we have  angle A =120 so it means the other 2 angles will be less than angle A , hence the opposite side to angle A is BC ,

Hence BC line is the longest line in triangle ABC

Case : BC is the longest side

#Remember that the total degree of triangle is 180°

#If A° = 120° so B° + C° = 180°-120°

B° + C° = 60°

#From here, you already know that even the total of both of B and C is less than 120° which is the degree of A.

#If you are gonna find the length of BC, then you need to use trigonometry which will be

BC/sinA = AB/sinB = AC/sinC

#so, from here you can know that BC will be the longest one, because bigger the value, in sin, will be smaller the value

Please solve in the picture!I know the answer is that BC is not the longest side but I need an explanation

Harper is starting a printing business. She purchases plain t-shirts for $5 dollars each and spends $150 for printing equipment She decides to sell printed shirts for $10 each. How many t-shirts does Harper need to sell so that the amount of money she spends to start her business and the amount of money she earns are the same.

Answers

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

A spinner is spun `40` times for a game.

This graph shows the fraction of games that are wins.

Based on the graph, what is the probability of a spin winning this game?

A spinner is spun `40` times for a game.This graph shows the fraction of games that are wins.Based on

Answers

(i) In decimals: 0.65

(ii) In percentage: 65%

The graph shows that after the spinner is spun after 40 times. The Fraction of wins is 0.65 out of 1. Look at the very end of the graph to look at the conclusion for probability. Similar cases when, after the spinner is spun after 20 times, the probability is 0.65.

Answer:

0.65 or 65%

Step-by-step explanation:

There are four rational numbers which are listed smallest to largest, A, B, C, and D. If the numbers are 5/3 7/15 6/10 and 25/5 , identify which is A, which is B, which is C, and which is D. brainly

Answers

The rational numbers are given as follows:

A = 7/15.B = 6/10.C = 5/3.D = 25/5.

How to order the rational numbers?

To order the rational numbers, we must convert the fractions to decimal, dividing the numerator of the fraction by the denominator.

The conversion of each number is given as follows:

5/3 = 1.67.7/15 = 0.47.6/10 = 0.6.25/5 = 5.

Hence they are ordered as follows:

7/15, 6/10, 5/3, 25/5.

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36
Reduce to its lowest term.
100

Answers

Answer:

The simplest form of 36 100 is 9 25.

Step-by-step explanation:

i got this from the internet

11. Descartes is thinking of a number that when he multiplies it by 9, he gets the number he is thinking of. What number is Descartes thinking of? brainly

Answers

Descartes must be thinking of the number 0.

Now, Let's call the number Descartes is thinking of "x".

Hence, According to the problem, if Descartes multiplies "x" by 9, he gets "x" back. In other words, 9 times "x" is equal to "x".

So we can write this as an equation:

⇒ 9x = x

Now we need to solve for "x". We can start by subtracting "x" from both sides of the equation:

⇒ 9x - x = 0

⇒ 8x = 0

divide both sides by 8 to get:

⇒ x = 0

Thus,  Descartes must be thinking of the number 0.

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which grows at the fastest rate for increasing values of x

\(f(x)=4*2^x\\h(x)=9x^2+25\\\\g(x)=15x+6\)

Answers

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

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In St John's school there are 20 rooms that need cleaning. It takes four cleaners two
hours each school day to clean all of the rooms.

How long does each room take to clean ?

Answers

24 I guess
Hope it help hehe

Given f(x) = 2x2 − 3x + 7, find f(2.5)

Answers

Answer:

12

Step-by-step explanation:

Given that,

f(x) = 2x² - 3x + 7

To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.

Let us solve it now.

f(2.5) = 2(2.5)² - 3×2.5 + 7

f(2.5) = 12.5 - 7.5 + 7

f(2.5) = 12

Answer:

\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)

f(2.5) = 12 is the right answer.

Help!! Whoever tries gets brainliest!

Help!! Whoever tries gets brainliest!

Answers

Answer:

q: quarters, 2q, 2q + 22, & 3(2q+22)

Step-by-step explanation:

A: The variable “q” will be the number of quarters

B:

2q will be the numbers of dimes

2q+22 will be the numbers of nickels

3(2q + 22) will be th number of pennies

Given the set S = {a, b, c, d}, answer the following.
(a) How many one-element subsets does S have?


(b) How many two-element subsets does S have?


(c) How many three-element subsets does S have?


(d) How many four-element subsets does S have?


(e) How many zero-element subsets does S have?


(f) How many subsets does S have?


(g) If
n(S) = k,
how many subsets will S have?

Answers

Answer:

Step-by-step explanation:

Given the set S = {a, b, c, d}, answer the following.(a) How many one-element subsets does S have?(b)

How do you solve
|2x+1|=|3x+4| ?

Answers

Answer: (5x + 5)

Step-by-step explanation: We have to distribute

2x+1

3x+4

Add the same symbol 2x+3x=5x

4+1=5

So 5x+5

Answer: x= -3, -1

1) break down the problem into these 2 equations

2x+1=3x+4

2x+1=−(3x+4)

2) solve the first equation: 2x+1=3x+4

x=-3

3) solve the second equation: 2x+1=−(3x+4)

x= -1

4) collect all solutions

x=-3,-1

4. Which equation is true?
O A, 4+ (-2) = (-5) - 7
O B.11 – 4 = 8 - (-
O c.5+ 3 = (-1)-(-9)
OD (-6) + (-1) = 2 - (-5)


Please answer quickly

Answers

Answer:

C

Step-by-step explanation:

5+3 = (-1)-(-9)

5+3 =(-1)+9

8 = 8

a moving box in the shape of a right rectangular prism has a base area of 5 5/8 ft² and a height of 3 1/5 ft what is the volume of the moving box​

Answers

Answer:

18 ft^3

Step-by-step explanation:

The volume of a right rectangular prism is the area of the base multiplied by the height.

V = Ah

V = (5 5/8 ft^2) * (3 1/5 ft)

First, we convert the mixed numerals into fractions.

V = 45/8 ft^2 * 16/5 ft

Now we multiply the fractions.

V = (45 * 16)/(8 * 5) ft^3

Factor 45 into 5 * 9. Factor 16 into 2 * 8.

V = (5 * 9 * 2 * 8)/(8 * 5) ft^3

We can divide the numerator and denominator by 5 and by 8 before doing the multiplications.

V = (9 * 2)/1 ft^3

V = 18 ft^3

Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.​

Answers

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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how do I increase 36 by 40%​

Answers

50.4 should be the answer

Take 36 multiplied by 1,4

\(36 \times 1.4 = 50.4\)

Which is longer 5 meters or 400 millimeters?
a. 400 millimeters
b. 5 meters
c. both a and b are correct.
d. both a and b are incorrect

Answers

Answer:

b. 5 meters

Step-by-step explanation:

1 meter = 1000 millimeters

5 meter = 5000 millimeters

Which is longer 5 meters or 400 millimeters?

5000 > 400

So, the answer is b. 5 meters.

1 meter = 1,000 millimeters

This conversion can be understood by the prefix “milli” in millimeter, as “milli” means 1/1000. So, millimeter means 1/1000 of a meter or 10^-3meters.

So, let’s multiply the conversion by 5 since we want to determine if 5 meters is longer than 400mm.

Conversion, where m=meter and mm=millimeter

1m=1,000mm

Since we have an equal (balanced) relationship, if we increase one quantity by 5 times, we must do the same for the other to maintain equality (balance).

1m•5=1,00mm•5

5m=5,000mm

Therefore, 5m is longer than 400mm since 5m=500mm and 500mm>400mm.

Answer: 5 meters is longer


Use the distributive property to rewrite the expressions.
-5/4(8a+4b)

Answers

Answer:

\(-\frac{5}{4} (8a+4b)=-10a-5b\).

Step-by-step explanation:

1. Write the expression.

\(-\frac{5}{4} (8a+4b)\\\)

2. Apply the distributive property.

\((-\frac{5}{4} )(8a)+(-\frac{5}{4})(4b)\\ \\(-\frac{5*8a}{4}) +(-\frac{5*4b}{4}) \\ \\-\frac{40a}{4} -\frac{20b}{4}\\\\-10a-5b\)

3. Express your result.

\(-\frac{5}{4} (8a+4b)=-10a-5b\).

The points J (9,7), K (2,1), L(0,−8) and M (7,−2) form quadrilateral JKLM.

Plot the points
slope of JK =
length of JK =
slope of KL =
length of KL =
slope of LM =
length of LM =
slope of MJ =
length of MJ =

Quadrilateral JKLM can BEST be described as

Answers

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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Answer for brainlest!!!!

Answer for brainlest!!!!

Answers

Answer:

Step-by-step explanation:

angle 2 and angle 7 are alternate exterior angles.so they are always equal.

angle 2=angle 7

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