Which of the following tables represents a linear relationship that is also proportional?
x −1 2 5
y −1 0 1
x −2 −1 0
y −1 0 1
x −2 −1 0
y −4 −2 0
x −4 −2 1
y −2 0 3
Answers
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Related Questions
In triangle XYZ, m∠Z = (5m − 16)° and the exterior angle to ∠Z measures (3m + 12)°. Determine the value of m.
m = 3
m = 10.8
m = 18
m = 23
Answers
Answer:
Step-by-step explanation:
Each Exterior angle = 180° - Interior angle.
(3m + 12)° = 180° - (5m − 16)°
Then solve algebraically:
\(3m+12=180-5m-16\)
\(3m+12=-5m+164\)
\(8m+12=164\)
\(8m=152\)
m = 19
The value of m will be 23.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In triangle XYZ,
⇒ m ∠Z = (5m − 16)°
And, the exterior angle to ∠Z measures (3m + 12)°.
Now,
Since, The sum of angle and its exterior angle in a triangle will be 180°
Hence, We can formulate;
(5m − 16)° + (3m + 12)° = 180
Solve for m as;
5m - 16 + 3m + 12 = 180
8m - 4 = 180
8m = 180 + 4
8m = 184
m = 23
Thus, The value of m will be 23.
Learn more about the triangle visit:
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Find the lengths and slopes of the diagonals to name the parallelogram. Choose the most specific name. E (-2, -4), F(0, -1), G(-3. 1) H(-5, -2) Note: Be prepared to explain your answer to this type of question on the test using length and slope. a) Rectangle b) Triangle c) Rhombus d) Square ---------------------------------------------------------------------------------------------------------------------------- What would prove the parallelogram PWRS is a rhombus? P(-1, 3), Q(-2, 5), R(0, 4), S(1, 2) a)Length of QR is 2.2 and slope of QR is -2 b) Slope of QR and PS is -2 and Slope of RS and QP is -1/2 c) Length of QS and PR is 4.2 d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2
Answers
Detailed explanation:
The diagonals of the parallelogram must be measured in order to ascertain its name. Let's figure out these numbers:
The slope of the EF is equal to (y2 - y1) / (x2 - x1) = (-1 - (-4)) / (0 - (-2)) = 3 / 2.
Diagonal GH: [(x2 - x1)2 + (y2 - y1)2] is the length of the GH.
= √[(-5 - (-3))² + (-2 - 1)²]
= √[(-2)² + (-3)²]
= √[4 + 9] = √13
Slope of GH is equal to (y2 - y1)/(x2 - x1) = (-2 - 1)/(-5 - (-3)) = -3 / -2 = 3 / 2
Let's examine the outcomes now:
The parallelogram is a rhombus if the lengths of both diagonals are equal (EF = GH) and the slopes of both diagonals are equal (slope of EF = slope of GH).
In our case, EF = GH = √13, and the slopes of EF and GH are both 3/2. Therefore, the parallelogram is a rhombus.
Therefore, the correct answer is c) Rhombus.
For the first question, the most specific name for the parallelogram defined by the coordinates E, F, G, and H is d) Square because the lengths of the sides and the diagonals are equal.
For the second question, the statement that would prove the parallelogram PWRS is a rhombus is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2, as it shows that all sides of the parallelogram are congruent.
To determine the most specific name for the parallelogram defined by the given coordinates, we need to analyze the properties of the shape based on the lengths and slopes of its diagonals.
Let's analyze each option:
a) Rectangle: In a rectangle, opposite sides are parallel and equal in length.
Diagonals are also congruent.
To determine if the parallelogram is a rectangle, we need to find the lengths of the diagonals.
Using the distance formula, we find that the length of EF is approximately 4.47 units, while the length of GH is approximately 4.24 units.
Since the diagonals are not congruent, the parallelogram is not a rectangle.
b) Triangle: A triangle is a three-sided polygon, which is not applicable to the given parallelogram.
c) Rhombus: In a rhombus, all sides are congruent.
The diagonals of a rhombus are perpendicular bisectors of each other. To determine if the parallelogram is a rhombus, we need to compare the slopes of the diagonals.
The slope of EF is -3/2, while the slope of GH is -3/2.
Since the slopes are equal, and the lengths of the sides are not given, we cannot determine if the parallelogram is a rhombus solely based on the given information.
d) Square: A square is a special type of rectangle and rhombus, where all sides are congruent and all angles are right angles.
Since we cannot determine if the parallelogram is a rhombus, we cannot conclude that it is a square.
In conclusion, based on the given information, we cannot determine the most specific name for the parallelogram defined by the coordinates.
For the second question, to prove that the parallelogram PWRS is a rhombus, we would need to show that the lengths of the sides are congruent and that the diagonals are perpendicular bisectors of each other.
However, based on the given options, we do not have the required information to prove that PWRS is a rhombus.
For similar question on parallelogram.
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A new brand of gym shoe claims to add up to 2 inches to an athlete vertical leap. Design an experiment to test this claim. State the objective of the experiment
Answers
Answer:
I'd think the first one would be correct. To determine whether or not athletes have an increase in vertical leap when wearing the shoes.
I'm not totally sure but this answer just seems the most correct. It would prove if the manufacturers clam is valid. You would have to other brand and models of shoes. You would also have to test the same kind of shoes ie, gym shoe vrs gym shoe instead of gym shoe vrs flip flop.
You would also have to use the different shoe on the same test group of users/athletes to keep a constant.
Hope I help.
Due Tomorrow PLEASE HELP
Answers
Answer: He Can Fill 8 Containers
Step-by-step explanation: Divide 20 quarts by 2 -1/2. Then, because 2 1/2 = 2.5 you will use the decimal 2.5 in this equation. All you have to do know is follow the equation i did here. 20 / 2.5 = 8
Hoped This Helped!
Xin recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Answers
Answer:
13/35
Step-by-step explanation:
Probability determines the likelihood of an event happening.
Since we are not looking at the 7th Graders list, let's focus on the list on 8th Graders.
Given:
8th gradeGuitar - 4 students
Bass - 13 students
Drums - 13 students
Keyboard - 5 students
Since we are trying to find the probability of an eighth grader chosen at random to play the drums, let's turn our attention to how many students actually play the drums.
13 students play the drums.
In order to find the probability of a student chosen at random who plays the drums, we have to find how many students play the drums (which we already found) out of the total amount of students there are in that grade/section. Summing up, probability = the amount of favorable cases divided by the amount of possible cases.
Let's use this formula:
P(A) = n/N
Where "P(A)" stands for the probability of the event "A". And "n" represents the # of favorable outcomes and "N" represents the # of total possible outcomes.
Let's find how many students are in 8th grade now by adding all the people who play the musical instruments together:
4 + 13 + 13 + 5
= 35 possible outcomes.
Now let's plug it into the formula:
P(A) = n/N
P(A) = 13/35
13/35 can simplify any further.
The probability of choosing a student who plays the drums at random is 13/35.
ASAP! MATH WIZZES PLEASE HELP!! ALGEBRA 1
Factor the following trinomials:
1) x^2 + 10x + 16
2) x^2 + 21x + 20
3) x^2 - 6x + 8
Answers
Step-by-step explanation:
1) (x+2)(x+8)
2) (x+1)(x+20)
3) (x-2)(x-4)
Answer:
1) (x+2)(x+8)
2) (x+1)(x+20)
3) (x-2)(x-4)
Step-by-step explanation:
Rectangle ABCD has a length represented by the expression 2x – 3, and a width represented by the expression 4x + 5. Rectangle PQRS has a length represented by the expression x – 1, and a width represented by the expression 3x + 2. Which of the following expressions can be used to represent the difference in the perimeters of Rectangle ABCD and Rectangle PQRS?
Answers
Answer:
2x + 1
4x + 2
4x + 6
20x + 6
Answer:
B
Step-by-step explanation:
Ida is shopping for a new pair of sandals and finds that the shoe store is selling one for $20. Currently the store is advertising a 25% discount on summertime footwear. The local government has set the sales tax rate at four percent.
This question is from Carnegie.
Answers
Step-by-step explanation:
25+4=29
29×20/100=5.8
WILL GIVE BRAINLIEST
Answers
Answer:
-9
Step-by-step explanation:
brainliest?
???????????????????????????
Answers
Answer:
12 and 78 are complementary.
80 and 100 are supplementary.
50 and 50 are neither.
Step-by-step explanation:
Hope it helps! =D
Please help giving brainlist
Answers
REWARDING BRAINLY FOR CORRECT ANSWER
Answers
Answer:
Mean: 58
Median: 58
Step-by-step explanation:
The mean is a type of average. It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list. To find the mean, add up all the values in the set. Then divide the sum by how many values there are.The median is the middle number; found by ordering all data points and picking out the one in the middleFINDING THE MEAN:
57 + 54 + 59 + 57 + 61 + 58 + 60 = 406
406 ÷ 7 = 58
FINDING THE MEAN:
Arrange the numbers from smallest to greatest:
54, 57, 57, 58, 59, 60, 61
Find the median number:
54, 57, 57, 58, 59, 60, 61
The median is: 58
Answer: The mean is 58 and the median is 58
Step-by-step explanation:
You add up all the answers and divide by the number of answers for the mean.
For the median you put them in order from least to greatest and find the middle.
Zoe is 6 years old. Her brother, Langston is 3 years more than twice her age. Write a numerical expression for Langston´s age. can you solve it? give me a like if you solved it and pls friend request me.
Answers
A. Find the smallest positive integer m such that C^m(9) = 1
B. Find all n such that C^3(n) = 16
Answers
Answer:
Step-by-step explanation:
ressions.
There are a few boxes with 12 red pens in each and a few boxes with 10 blue pens in each. If 10 red pens and 5 blue pens are removed, the total number of pens that remains is given by the expression (12x − 10) + (10y − 5). Here, x represents the number of boxes containing red pens and y represents the number of boxes containing blue pens.
ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages
Answers
x - Ram's age now
Ram is half his father's age now, so his father's age is two times Ram's age:
2x - Ram's father age now
x - 10 - Ram's age ten years ago
2x - 10 - Ram's father age ten years ago
ten years ago he was one third his father's age so his father's age was three times Ram's age:
2x - 10 = 3•(x - 10)
2x - 10 = 3x - 30
-10 + 30 = 3x - 2x
20 = x
2x = 2•20 = 40
Answer:
Ram is 20 years old now, Ram's father is 40 years old now.
In a toothpick sequence, the total number of toothpicks in a term
is 6 more than twice the number of horizontal toothpicks in the
term. Write a rule for the relationship between the two variables.
Use t for the total number of toothpicks in the term and h
for the horizontal toothpicks.
a. h = 2t + 6 c. t = h + 6
b. t = 6h + 2 d. t = 2h + 6
Answers
Answer: d
6 more= to add
twice= times by 2
the number of horizontal pick sticks (h)
t is meaning the total amount
so total is equal to 2 times the number of h plus 6
Answer:552
Step-by-step explanation:33838744
dhdjoeurur
use the distributive property to expand this expression: 7(c + 4) =
Answers
Answer:
7c + 28
Step-by-step explanation:
You just have to multiply 7 with the variable and the number in parenthesis while keeping the plus sign between the two products that you get.
I need help again lol
Answers
Answer:
i think i answered this already
Step-by-step explanation:
lol
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Answers
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
Ivan’s shower floor is rectangular with the dimensions shown. He needs to put new sealant around all four edges of the shower floor. What is the perimeter of the shower floor?
A rectangle has a length of 60 inches and width of 32 inches.
Use the formula for the perimeter of a rectangle, P = 2 l + 2 w, where P is the perimeter, l is the length, and w is the width.
92 in.
184 in.
368 in.
1,920 in.
Answers
Answer:
184in
Step-by-step explanation:
The two triangles are similar. Identify the scale factor of the dilation from the larger triangle to the smaller triangle.
A 0.40
B 0.60
C 2.5
D 250
Answers
List all the factors of 56.
Choose one answer:
(A)1,28,56,112
(B)1,2,4,7,8,14,28,56
(C)1,2,3,6,14,28,56
Answers
1,2,4,7,8,14,28,56
Use the points in the diagram to name the figure
Answers
Answer:
↔
CD
Step-by-step explanation:
The distance between the elementary school and the middle school is 4 miles. On the map, the two locations are One-half inch apart. What is the scale of the map?
1 inch = 8 miles
1 inch = StartFraction 1 over 8 EndFraction mile
One-half inch = 1 mile
4 inches = 1 mile
Answers
1 inch = 8 miles
1/2in + 1/2in = 1in
4 + 4 = 8
I know this because half of 8 is 4 and that is the distance between the locations
What is the solution of the equation n+13=30 ?
Answers
Answer:17
Step-by-step explanation:
1) 30 -13=17
n=17
"today, a certain mutant-zombie grew 5 limbs, lost 12, then grew 2. What is the change in the number of limbs the mutant-zombie has compared to yestrday?" No joke, this is the math problem. Help me.
Answers
The arc length of the shaded part of the circle is 5 pi inches. What is the circumference of the entire circle? Express the answer in terms of Pi. A circle. The shaded sector has an angle measure of 45 degrees. Recall the formula StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction. 10 pi inches 15 pi inches 40 pi inches 45 pi inches
Answers
Answer:
Can we have a picture please? That would help a lot! Thanks!~
Step-by-step explanation:
Help.......................
Answers
Answer:
The 2x4 is an example of a product. The last step Jamal needs to use is the subtraction.
Step-by-step explanation:
PEMDAS RULES:
(First to last)
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
please help what is the answer ill give 25 points please
Answers
Answer: 73
Step-by-step explanation:
22 + 51 = 73
Answer:
73
Step-by-step explanation:
Please help with this equation :) I will give 58 points and I will give brainliest.
Answers
2x+3 + x+1 = 3x+4
X technically is 1x but we assume the 1 is there so it isn’t there on paper
Answer: C
Step-by-step explanation: If you add both expressions together you get 3x+4 but then because it would be on both sides of the rectangle it would be times 2 of that expression so 3x+4 times two would be 6x+8