Set up a equation and solve for X.
Next to each step write the postulate or property used for that step
Answers
Answer:
[tex] x = 4 [/tex]
Step-by-step explanation:
[tex] GH = 3x [/tex] (given)
[tex] HJ = x + 16 [/tex] (given)
[tex] GJ = 32 [/tex] (given)
[tex] GH + HJ = GJ [/tex] (segment addition postulate)
[tex] (3x) + (x + 16) = 32 [/tex] (substitution)
Solve for x
[tex] 3x + x + 16 = 32 [/tex]
[tex] 4x + 16 = 32 [/tex]
[tex] 4x + 16 - 16 = 32 - 16 [/tex] (subtraction property of equality)
[tex] 4x = 16 [/tex]
[tex] \frac{4x}{4} = \frac{16}{4} [/tex] (division property of equality)
[tex] x = 4 [/tex]
Related Questions
Estimate. Then find the difference. 476-269
Answers
Answer: 207
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Use the algorithm method.
Step 2: Therefore, 476 − 269 = 207.
207
~I hope I helped you! :)~
You play a game with a friend they pul a marble out of the bag with 3 red marbles and 7 green marbles. If the marble is red you win$2 if the marble is green you lose $1 What is the expected value of the game for you
Answers
Answer:
Step-by-step explanation:
Amount of red marbles = 3red
Amount of green marbles = 7 green
If the marble is red and you win $2, the total amount of money won = 3 * $2 = $6
If the marble is green and you loose $1, the total amount of money lost = 7 * $1 = $7
The expected value of the game for you = amount won - amount lost
= $6 - $7
= -$1
This means the expected value is a loss of $1
Shakira is baking cookies to put in packages for a fundraiser. Shakira has made 86 chocolate chip cookies and 42 sugar cookies.
Shakira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
Answers
Answer:
she can make 42 identical packages
Step-by-step explanation:
Answer:
Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.
86 / 2 = 43 chocolate chips cookies
42 / 1 = 42 sugar cookies
With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.
-I hope this is the answer you are looking for, please feel free to post your questions of brainly.com in the future.
A college Statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. That survey drew its sample in the following manner: Telephone numbers were generated at random by selecting one of the local telephone exchanges (first three digits) at random and then generating a random four-digit number to follow the exchange. If a person answered the phone and the call was to a residence, then that person was taken to be the subject for interview. (Undergraduate students and those under voting age were excluded, as was anyone who could not speak English.) Calls were placed until a sample of 200 eligible respondents had been reached.
Required:
a. Did every telephone number that could occur in that community have an equal chance of being generated?
b. Did this method of generating telephone numbers result in a simple random sample (SRS) of local residences? Explain.
c. Did this method generate an SRS of local voters? Explain.
d. Is this method unbiased in generating samples of households? Explain.
Answers
Answer:
A) Yes
B) No
C) No
D) No
Step-by-step explanation:
A) Yes, every telephone number that could occur in that community will have an equal chance of being generated because the telephone numbers were generated randomly.
B) No, this method of generating telephone numbers would not result in a simple random sample (SRS) of local residences because the first three digits were generated in a different random way than the last four digits.
C) No, this method would not generate an SRS of local voters because not everybody will be pick up when they call because they may not be at home or they may be too busy to pick up.
D) No, this method is not unbiased in generating samples of households because there will be nonresponse bias since not everyone will pick up the call
Brett made a scale drawing of a rectangular room in his house.
The actual length of the room is 12 4/5 ft. The scale used to make the
drawing was 1/4 in. = 1 ft. What is the length, in inches, of the room
on the drawing?
Answers
Answer:
Step-by-step explanation:
Length of the room = 12 4/5 ft = 12.8 ft
Scale is 0.25 inches = 1 ft.
This means that every 1ft is shown as 1/4 inch on the map.
To find what 12 4/5ft on the map, you would multiply 12.8 by 0.25.
12.8 x 0.25 = 3.2 inches
Multiply. 4 2/7 x 2 1/5
A) 8 2/35
B) 8 1/7
C) 9 1/7
D) 9 3/7
Answers
The answer is D :)
hope this helps! <3
Answer:
D) 9 3/7
Step-by-step explanation:
4 2/7 × 2 1/5
=30/7 × 11/5
= 30 × 11/7 × 5
=330/35
=330 ÷ 5/35 ÷ 5
=66/7 = 9 3/7
Please help me I need it right now
Answers
Answer:
X+y=180, Y=Z, X+Z=180
Step-by-step explanation:
Hope this helps. i remember doing this.
Marisa said that multiplying 8.0 by 1,000,000 would increase the value of the 8 because there would be 6 more zeros after the decimal point. explain what is wrong in marisa's statement
Answers
Answer:
.
Step-by-step explanation:
.
Help me ASAP please !!!! I attached a pic
Answers
PLEASE EXPLAIN HOW TO GET SOLUTION
Answers
Answer:
(3p^5)/2
Step-by-step explanation:
= (24p^10)/(16p^5)
= (3p^5)/2
HEEEEEELP PLZZZZZ I NEEED IT LIKE NOW
For a field trip 23 students rode in cars and the rest filled five buses. How many students were in each bus if 288 students were on the trip?
Answers
Answer:
288 (DIVIDED) by 23=
12.5217391304 ROUNDED UP=
About 13 students per bus.
If it took 2 hours to clean 5 houses, how many houses could be cleaned in 6 hours?
Answers
Answer:
15 houses
Step-by-step explanation:
[tex]\frac{2}{5} = \frac{6}{y} \\[/tex]
2y = 30
y = 15 houses
Please help!
The access code to a houses security system consists of 8 digits. How many different codes are available if each digit can NOT be repeated?
Answers
a digit to place on this position since there are ten digits from 0 to 9, and this choice is
independent of all other positions since each digit can be repeated and there is no restriction on
how to choose digits.
So, we have 8 positions and each one is filled by a digit in 10 ways independently from each other,
therefore the total number of possible codes equals to ways it can be done for each independent
position multiplied altogether. This is 10 × 10 × … × 10 = 108
(100 million).
Answer: 108 different codes.
Could anyone be willing to help me with any of these 3 questions? :)
Answers
Answer:
X is 70
Y is 110
Z is 30
Step-by-step explanation:
Because a trangle have 180 degree inside
Answer:
Step-by-step explanation:
second one - for this one you would do 90 +30 = 120
then take this from 180 to get 60 . so if you can see that the shape is an f but that's if you take away the sides with the right angles . the corresponding angle rule (you can see an F shape) means that the angle that i just worked out is the same as angle c so angle c=60
third one - for this one do 70+30 then take this answer away from 180
that angle x
the rule for angle y is the vertically opposite angle rule - angle s that are vertically opposite are the same angle y= angle x - same angle
Anybody Know This. ?
Answers
Answer second option
Step-by-step explanation:
Answer:
the 2nd
Step-by-step explanation:
one is the one and only
Group Tens as Hundreds
Write how many tens. Circle groups of 10 tens.
Write how many hundreds. Write the number.
Answers
Answer:
Write how many groups of tens there are
Circle groups where there are ten groups of tens
Write how many hundreds there are
Write the total number of tens and hundreds there are
2 to the 8th power multiplied by 2 to the 4th power
Answers
Answer:
4096
Step-by-step explanation
Do 2×2×2×2×2×2×2×2 to get 256
Then do 2×2×2×2 to get 16
Lastly do 256×16 to get a grand total of 4096
During the 2004 senatorial campaign in a large southwestern state, illegal immigration was a major issue. One of the candidates argued that illegal immigrants made use of educational and social services without having to pay property taxes. The other candidate pointed out that the cost of new homes in their state was 20–30% less than the national average due to the low wages received by the large number of illegal immigrants working on new home construction. A random sample of 5,500 registered voters was asked the question, "Are illegal immigrants generally a benefit or a liability to the state’s economy?" The results were as follows: 3,500 people responded "liability," 1,500 people responded "benefit," and 500 people responded "uncertain."
a. What is the population of interest?
b. What is the population from which the sample was selected?
c. Does the sample adequately represent the population?
d. If a second random sample of 5,000 registered voters was selected, would the results be nearly the same as the results obtained from the initial sample of 5,000 voters? Explain your answer.
Answers
Answer:
a
The population of interest is the registered voters , this is because it is the population from which the sample size is selected from.
b
The population is the registered voters of the large southwestern state
c
Well this does not adequately represent the population because this sample where selected from only the registered voters of the large southwestern state and not the whole country
d
Yes the result will be nearly the same because
Both samples are selected from the same population The size of the sample selected is sufficiently large to approximate the populationStep-by-step explanation:
From the question we are told that
The sample size is n = 5,500
Considering question a
What is the population of interest
The population of interest is the registered voters , this is because it is the population from which the sample size is selected from.
Considering question b
What is the population from which the sample was selected
The population is the registered voters of the large southwestern state
Considering question c
Does the sample adequately represent the population
Well this does not adequately represent the population because this sample where selected from only the registered voters of the large southwestern state and not the whole country
Considering question d
Yes the result will be nearly the same because
Both samples are selected from the same population The size of the sample selected is sufficiently large to approximate the populationStep 1: Select a two-digit number less than 100.
Step 2: Add 3 to your number.
Step 3: Double the result.
Step 4: Subtract 9.
Step 5: Multiply by 5.
Step 6: Add 15.
Step 7: Divide by 10
Did you get your original number? Use algebra to show why this works. How is
this problem different from the previous problem?
SOMEONE PLEASE HELPP MEEE!!!
Answers
Answer:
I'm unsure if this helps.
Step-by-step explanation:
step 1= 22
step 2= 25
step 3= 50
step 4= 41
step 5= 205
Step 6= 220
Step 7= 22
Taylor uses 32 buttons for every 4 blouses she sews.
What is the ratio of blouses to buttons?
Answers
Answer:
1:8 , 1/8
Step-by-step explanation:
4 blouses / 32 buttons
= 1 blouse / 8 buttons
(4 and 32 share a GCF of 4)
Answer:
I think it would be 1 to 8
Step-by-step explanation:
32 divided 4 equals 8. So for every 1 blouses she uses 8 buttons. So the ratio would be 1( blouse )to 8(buttons).
The points (0.5,1/2) and (7,1 2/5) are on the graph of a proportional relationship what is the constant of proportionality name one more point on the graph write an equation that represents the proportional relationship
Answers
Answer:
wait do you have a picture of a graph so i can understand more correcctly
Step-by-step explanation:
can someone please help? i need to find the slope of a line. it’s for a test!
Answers
Answer:
Step-by-step explanation: To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Answer:
The slope is 2/3
Step-by-step explanation:
The equation that the graph gives us is y = 2/3x + 3.
With this equation, we know that the slope is 2/3.
Bonus:
With this equation, we also know that the y-intercept is 3.
A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the
number of tests on the y-axis and the time in weeks on the x-axis?
А. 3/4
B. 4/3
C. 3
D. 4
Answers
Answer:
i think it would be 4 i'm not sure tell me if i'm wrong.
Answer:
a
Step-by-step explanation:
What is the reciprocal of 3
Answers
Answer:
1/3
Step-by-step explanation:
3/1 backwards is 1/3
that's why its reciprocal is 1/3
hope this helps:)
The substance in the chart above that has the greatest number of atoms in each molecule is-
Answers
Answer:
the substance in chart above
Step-by-step explanation:
that has greatest number of atom is each molecule
can you help please/
?
Answers
Answer:
B.
Step-by-step explanation:
Hope this helps!!
what is the measure of angle BCD?
Answers
Step-by-step explanation:
here is my step by step so first you look at the two inner angles which in this case are B and C then you multiply them together to get your angle D.
Answer:
A.) obtuse angle
B.) 180 degrees
C.) 95 degrees
Step-by-step explanation:
C.) 80 - 85 = 95
If 4w – 1 = 11, then 4w = 12
What the property?
Answers
A study of nutrition in developing countries collected data from the Egyptian village of Nahya. Researchers recorded the mean weight (in kilograms) for 170 infants in Nahya each month during their first year of life. A hasty user of statistics enters the data into software and computes the least-squares li~thout looking at the scatterplot first. The result is weight= 4.88 + 0.267 (age).
Required:
Use the residual plot to determine if this linear model is appropriate.
Answers
Answer:
The linear model is not appropriate.
Step-by-step explanation:
In regression, the difference amid the observed-value of the dependent-variable (y) and the predicted-value ([tex]\hat y[/tex]) is known as the residual (e).
[tex]e=y-\hat y[/tex]
A residual plot is a graphical representation of the residuals on the y-axis and the independent variable on the x-axis. If the data-points on the residual plot are randomly spread around the x-axis, a linear regression model is appropriate for the data. And if the residual plots shows a non-random or a U or inverted U pattern, a nonlinear model is more appropriate for the data.
The residual provided shown an inverted U pattern. That is the points are not scattered around he graph.
Thus, the linear model is not appropriate.
A residual plot for the nutrition data would display the residuals on the y-axis and the age on the x-axis.
The residual plot is not appropriate for a linear model.
From the residual plot (see attachment), we can see that the points on the residual plot follows a curved pattern.
For a residual plot to be a linear model, the points on the plot must be at random on the horizontal axis of the plot.
This means that, the residual plot is not appropriate for a linear model.
Read more about residual plots at:
https://brainly.com/question/2876516
What is the correct answer? please