Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent show that quadrilateral ABCD is a parallelogram by finding the length of the opposite side pairs
Answers
Answer:
D. 21, 14
Step-by-step explanation:
As the question said, a parallelogram is formed when both pairs of opposite sides are congruent. That means that 21 and 3y are equal, as are y + 7 and 2y.
21 = 3y
/3 /3
7 = y
y + 7 = 2y
-2y -2y
-y + 7 = 0
- 7 - 7
-y = -7
* -1 * -1
y = 7
In both instances, y = 7. Now let's substitute that.
21 = 3(7)
21 = 21 is true.
7 + 7 = 2(7)
14 = 14 is true.
With that, the lengths of the opposites sides are 21 & 14, which is D.
Related Questions
Subtract 2x2 + 6x – 5 from 7x2 + 3x + 4.
Answers
A bookshelf has 36 fiction books and 44 non-fiction books. What percentage of the total books are non-fiction?
Answers
Answer:
55% of the total books are non-fiction.
Step-by-step explanation:
There are a total of 80 books, and there are 44 non-fiction books among them.
Divide 44 by 80, then multiply by 100 to get the percentage.
(44/80) × 100 = 55%
Two angles are supplementary. The larger angle is 6 degrees less than twice the smaller angle. What is the degree measure of the larger angle?
Answers
then 2x + 6 = the larger angle
Since they are comlementary, then their sum is 90°
smaller angle + larger angle = 90°
(x) + (2x+6) = 90
3x + 6 = 90
3x = 84
x = 28 (this is the smaller angle)
the larger angle is 2x + 6 = 2(28) + 6 = 56 + 6 = 62
PLS HELP ME I WILL GIVE BRAIN THINGY
Answers
Solve the system of equations algebraically. Show all of your work.
y= x^2 + 2x
y= 3x +30
Answers
Answer:
See attached below
Step-by-step explanation:
Factor the expression completely. 60x^4+54x^3 60x 4 +54x 3
Answers
Answer:
6x^3 (9x^361 + 10x+9)
Step-by-step explanation:
Can yall please put the formula as well x
Answers
Answer:
x = 10°
Step-by-step explanation:
(3x + 88) + (x + 36) + (2x -4) = 180°
6x + 120 = 180°
6x = 60°
x = 10°
a² . b² in expanded form
Answers
Answer:
(a x b)(a x b)
The lengths of three ropes are 4 : 5 : 9. If the length of the shortest rope is 20 cm, find the length of the longest rope
Answers
Don’t quite me on it, but 45cm?
Explanation:
Well, if the shortest rope (4) is only 20cm, it’s about 5cm per length (?)
So, if you follow that pattern the longest (9) would be 45cm.
If 20/4 = 5
Then 9x5 = 45
Which of the following can be substituted for y to make the inequality below true? 24 > 6 + 3y
A: 2.75
B: 5
C: 6
D: all whole numbers
E: all numbers less then 6
F: all numbers greater then 6
Answers
Answer:
E
Step-by-step explanation:
Any number above 6 will result in a bigger number
pls no files, thanks!
Answers
3rd answer i believe
What is an equation of the line that passes through the points (-1, 6) and
(-1, -5)?
Answers
Answer:
x = -1
Step-by-step explanation:
(-1 , 6) ; (-1 , -5)
There is no change in x-coordinate values.
So, the is parallel to y-axis
x = -1
Find the surface area.
7 in.
7 in.
7 in.
please help
Answers
Answer:
294
Step-by-step explanation:
One side is 7×7 which is 49.
There are six sides so now it's 49×6, which gives you 294.
Select all the expressions that equal 6-10 Write out each solution.
A. 65 6²
5
B.
C. (6)
63
D.
67
E.
Answers
Answer:
i think c and e and d (im sorry if its wrong)
which expression is equivalent to...........
Answers
Answer:
6.5y-11
Step-by-step explanation:
i think that's the answer. if I'm wrong tell me right away good day
if someone did a summary of a horror movie then i will give brainliest and 1818 pionts pls brainlies
Answers
Answer:
My summary is on Happy Death Day
Basically there is this girl, she got murdered in the night but before being murdered she spent the entire day being mean and making choices she would later on regret, but when she dies she wakes up again in her room and the same exact things that happened the day the died happened, it was exactly the same. This happened over and over again and she kept dying no matter what she did, it was like a time loop that restarted whenever she was murdered. She had to solve it by killing the one who murdered her or stopping it somehow, she tried everything to avoid being killed. She even got herself sent to jail but still died there, she made a list and tried figuring out who the murderer was. She spent one day being nice to everyone, thinking she had figured out how to stop the murderer because she wanted her day to be great because she thought she wouldnt be killed that night as she thought she knew how to survive. She ate the cupcake her roommate offered her and wasnt murdered that night (the other days she ignored her roommate) Before she went to sleep she said a quote when she was making her Birthday wish (she died on her birthday, hence the name happy death day) "What do you wish for?" "Tomorrow."
"Just...Tomorrow?" "Yeah." She then woke up again in the time loop, and the day repeated. She was confused to why this happened when at the end of the day her roommate offered her the cupcake. She realized the cupcake had poison in it and killed her roommate. But she died again, still in the time loop. She was so confused, all she knew was that her killer wore a mask. Then, after research she figured out it was a mentally ill patient who was killing her. Her best friend (boy friend/guy friend) then sacrificed himself for her taking the hit so she could live, she finally was able to escape the killer. But she realized, if she broke out of the time loop, it would continue so that her guy friend/boy friend was dead. The one who sacrificed himself for her, so she (I don't want this answer to get taken down for describing what she did, but let's say she died on purpose) And woke up again in the time loop. This time she rushed to kill the patient who had been killing her every night in the time loop, and the time loop was broken. That's the summary.
Answer:
will a summary of sinister do?
Summary of "Sinister'
so basically it all starts out with a family downsizing their house because of the dad's job. So they move into the house and they find a weird box in the attic, with a few old tapes and a projector, so the dad starts watching the tapes. (on the tapes their are murders of like 5 other families but he doesnt know that.) so then creepy stuff starts happening like first the attic where they found the creepy box keeps opening by itself. then the little girl starts drawing pictures of murders and her with mr.boogie, and the boy keeps waking up with bruises and injuries, and at the end the girl kills the whole family.
Only #6. I Would Appreciate Help On This One
Answers
Answer:
25π
Step-by-step explanation:
well the area is 78.53981633974 but in terms of pi, it's 25π
A trapezoid has been rotated 90°
clockwise about the origin. Is it true that
the y-coordinates of the new trapezoid
are the same as the y-coordinates of the
original trapezoid? Explain.
Answers
Answer:
yes
Step-by-step explanation:
counterclockwise move it to the quadrant
directly to the left ,which is the second quaurter that means the x value only become negtive
Answer:
90 degree rule
(x,y)=(y.-x)
Step-by-step explanation:
Help me and no links please that’s annoying
Answers
Answer:
B
Step-by-step explanation:
3x3 9 so 9÷3 3 understand my dude
X=5-y 2x+5y=4 substituted
Answers
Step-by-step explanation:
put x=5-y into eqn2
2(5-y)+5y=4
10-2y+5y=4
10+3y=4
3y=-6
y=-2
put y=-2 into eqn1
x=5--2
x=7
Determine if the expression x is a polynomial or not. If it is a
polynomial, state the type and degree of the polynomial.
Answers
9514 1404 393
Answer:
x is a polynomial of degree 1
Step-by-step explanation:
"x" is an expression in one variable. The degree of the variable is 1, which is a non-negative integer. So, the expression "x" is a polynomial of degree 1. Because this polynomial has only one term, it is called a monomial. Because the degree is 1, it is a linear polynomial.
4
A student created the function P(t) = 5(1 +4/100)^t to model the population of a town in thousands, t years after 1980. If the student misread the
population in the year 1980 and the correct population in that year was 6,000, what changes should he make in the function?
Change 5 to 6,000
Change 4 to 6,000
Change 5 to 6
O Change 4 to 6
Ο Ο
Answers
Answer:
change 5 to 6
Step-by-step explanation:
Dominic runs a farm stand that sells peaches and grapes. Yesterday Dominic sold 34 pounds of peaches and 45 pounds of grapes for a total revenue of $192.25. Today he sold 47 pounds of peaches and 16 pounds of grapes for a total revenue of $208. Write a system of equations that could be used to determine the price of each pound of peaches and the price of each pound of grapes. Define the variables that you use to write the system.
Answers
Answer:
34x + 45y = 192.25
47x + 16y = 208
Step-by-step explanation:
Let x stand for peaches.
Let y stand for grapes.
Since we know that yesterday he sold 35 pounds of peaches ( x ) and 45 pounds of grapes ( y ) for $192.25, we can create an equation to represent this using two variables; peaches and grapes.
We can do the same thing with the amount of peaches and grapes he sold today. Once we make this equation, we will have two equations to make the system of equations to solve for x and y.
A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes).
Answers
Complete question :
A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes).
1235
952
457
1486
1759
1148
548
1037
1864
1245
976
866
1431
Estimate the median time it will take all players to finish this game.
Find the interquartile range for this sample.
Answer:
1148 ; 549.5
Step-by-step explanation:
The ordered data:
457, 548, 866, 952, 976, 1037, 1148, 1235, 1245, 1431, 1486, 1759, 1864
The median value :
1/2 * (n +1)th term
n = 13
1/2 * 14 = 7th term
Median = 1148
The interquartile range :
Q3 - Q1
Q3 = 3/4(n+1)th term
Q3 = 3/4 * 14th term
Q3 = 10.5 th term
Q3 = (10 + 11)th term
Q3 = (1431 +1486) / 2= 1458.5
Q1 = 1/4(n+1)th term
Q1 = 1/4 * 14th term
Q1 = 3.5 th term
Q1 = (3 + 4)th term
Q1 = (866+ 952) / 2= 909
IQR = 1458.5 - 909 = 549.5
Answer:
Median:1054 mins
IQR:751.5
Step-by-step explanation:
A store made 96 lb of peppermint bark for the holidays. The peppermint bark was split into 3/8 lb portions and boxes. 3/4 of the boxes were sold for $6 each before the holidays. The rest were sold at 2/3 of the pre-holiday price. How much money did the shop receive from the sales of the peppermint bark?
Answers
Answer: The shop has received $ 1724 from the sales of the peppermint bark.
Step-by-step explanation:
Given: Total quantity of peppermint bark = 96 lb
Number of [tex]\dfrac38[/tex] portions = [tex]96\div\dfrac38 =96\times\dfrac83=256[/tex]
[tex]\dfrac34[/tex] of boxes = [tex]\dfrac34\times256=[/tex] $192
These were sold for $6 each before the holidays.
i.e. Cost of [tex]\dfrac34[/tex] of boxes = [tex]192\times 6=\$1152[/tex]
2/3 of the pre-holiday price = [tex]\dfrac23\times6=\$9[/tex]
Rest of boxes = 256-192 = 64
Cost of rest of boxes = [tex]9\times64=\$ \ 576[/tex]
Total money received = $1152 + $572
= $ 1724
Hence, the shop has received $ 1724 from the sales of the peppermint bark.
The line of which equation passes through points (0,6) and (4,-1)
Answers
Answer:
y=-7/4x+6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-6)/(4-0)
m=-7/4
y-y1=m(x-x1)
y-6=-7/4(x-0)
y-6=-7/4(x)
y-6=-7/4x
y=-7/4x+6
At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths. The machine has a dial that sets the length of the bars to be cut. However, the dial is currently out of alignment and the plant manager is collecting data to assess the situation. The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut. All measurements are in millimeters.
(a) Use the following grid to construct a scatterplot in which dial setting is the explanatory variable and output length is the response variable. Based on your graph, does a linear model seem appropriate? Justify your answer.
(b) Use the data to construct a least-squares regression line to predict output length from dial setting.
(c) Assume that all conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting
(d) The test statistic for the appropriate test is t=9.018. Do the data provide convincing statistical evidence that there is a linear relationship between output length and dial setting?
Answers
Check Attached Photos. Sorry, it didn't let me submit it through text because of "inappropriate language," despite me not having any in my answer.
For the plant which manufactures bars of steel, the conclusions are as follows;
A. The scatter graph is shown.
B. The equation is y = 2.204 + 1.007x
C. Null hypotheses (H₀); β = 0
Alternative hypotheses (Hₐ); β ≠ 0
D. P-value (0.0001) is less than the significance level (α = 0.05).
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths.
The machine has a dial that sets the length of the bars to be cut.
The dial is currently out of alignment and the plant manager is collecting data to assess the situation.
The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut.
All measurements are in millimeters.
Dail setting Output length
75 78
77 79
79 82
80 83
81 85
82 83
83 86
85 88
A. The scatter plot is shown below.
Based on the scatter plot, a linear model seems appropriate to the model relationships between the dial setting of the machine and the output length of the steel bar.
The scatter plot shows the strong (r = 0.965), positive, linear association. There do not appear to be any outliners.
B. From the data to construct a least-squares regression line to predict output length from dial setting. Then
y = (a + bx)
Let x be the dial setting machine and y be the output length of steel bars (in mm).
y = 2.204 + 1.007 x
C. All conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting.
Let β be the true slope of the population regression line relating the dial setting of the machine (x) and the output length of the steel bars (y) at the manufacturing plant.
Null hypotheses (H₀) ; β = 0
Alternative hypotheses (Hₐ) ; β ≠ 0
Appropriate test = slope of regression line t-test.
D. The test statistic for the appropriate test is t = 9.018 with 6 degrees of freedom (7 - 1)
The normal curve is shown;
Using calculator command t-CDF, with the alternative hypotheses as β≠0, then P-value = 0.0001.
In probability notation;
P(b≥0.017) = P(t≥9.018) = 0.00005
P-value = (2) × (0.00005) = 0.0001
P-value = 0.0001
Assume α = 0.05
Since our P-value (0.0001) is less than the significance level (α = 0.05), we do not convince statistical evidence that there is a linear relationship between output length and dial setting.
As the dial setting (x) increases, the output length of the steel bar (y) increases as well.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
What is the situation to 4x^2-25=07
Answers
Answer:
x = 2.83
Step-by-step explanation:
Answer:
x=2√2 or x=−2√2
^^Both are correct.^^
Step-by-step explanation:
Let's solve your equation step-by-step.
4x^2−25=7
Step 1: Add 25 to both sides.
4x^2−25+25=7+25
4x^2=32
Step 2: Divide both sides by 4.
4x2 /4 = 32 /4
x^2=8
Step 3: Take square root.
x=±√8
x=2√2 or x=−2√2
brainliest please?
A cars gas mileage refers to its rate in miles traveled per gallon of gas. Kara's family is thinking about renting a camper that can travel 3 1/2 miles on 1/3 gallon of gas. Kara wants to know the gas mileage of the camper.
Answers
Answer: 10 ¹/₂ miles per gallon
Step-by-step explanation:
The gas mileage of the camper refers to the distance (in miles for this question) that the camper can travel on 1 gallon of gas.
The camper can travel 3¹/₂ miles on ¹/₃ gallons so the mileage is:
= Distance traveled/ Gallons used
= 3¹/₂ ÷ ¹/₃
= 7/2 * 3/1
= 21 / 2
= 10 ¹/₂ miles per gallon
A new car is purchased for $ 26,000 and over time its value depreciates by one half every 5 years . How long, to the nearest tenth of a year, would it take for the value of the car to be \$2,300 ?
Answers
Answer:
17.5
Step-by-step explanation: