Find the values of x and y that make the quadrilateral a parallelogram
DEFG
5x-4
3y+9
10x-24
2y+16
Answers
Answer:
x = 4, y = 7
Step-by-step explanation:
3y + 9 = 2y + 16
y = 7
10x - 24 = 5x - 4
5x = 20
x = 4
values of x is 4 and y is 7
Related Questions
4) the volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. what percentage of bottles contain less than 32 oz of soda?
Answers
40.13 percentage of the bottles contain less than 32 oz of soda.
Mean (μ) = 32.3 oz
Standard Deviation (σ) = 1.2 oz
Threshold value (X) = 32 oz
We can use the standard normal distribution (Z-distribution) to calculate the cumulative probability.
First, let's standardize the threshold value using the formula
Z = (X - μ) / σ
Z = (32 - 32.3) / 1.2 Z ≈ -0.25
Next, we'll look up the cumulative probability corresponding to Z = -0.25 in the standard normal distribution table or use a calculator.
From the standard normal distribution table or calculator, we find that the cumulative probability for
Z = -0.25 is approximately 0.4013.
This means that approximately 40.13% of bottles contain less than 32 oz of soda.
Therefore, about 40.13% of the bottles contain less than 32 oz of soda.
To know more about percentage click here :
https://brainly.com/question/28921494
#SPJ4
c- what is the probability that a subscriber rented a car during the past 12 months for only business reasons? d- what is the probability that a subscriber rented a car during the past 12 months for only one reasons?\
Answers
c- To calculate the probability that a subscriber rented a car during the past 12 months for only business reasons, you need to know the total number of subscribers who rented a car for any reason during the past 12 months and the total number of subscribers who rented a car for only business reasons during the past 12 months.
The probability is then equal to the number of subscribers who rented a car for only business reasons during the past 12 months divided by the total number of subscribers who rented a car for any reason during the past 12 months.
d- To calculate the probability that a subscriber rented a car during the past 12 months for only one reason, you need to know the total number of subscribers who rented a car for any reason during the past 12 months and the total number of subscribers who rented a car for only one reason during the past 12 months.
The probability is then equal to the number of subscribers who rented a car for only one reason during the past 12 months divided by the total number of subscribers who rented a car for any reason during the past 12 months.
Learn more about probability
brainly.com/question/11234923
#SPJ11
Lamonte and Fwam own competing taxicab companies. Both cab companies charge a one-time pickup fee for every ride, as well as a charge for each mile traveled. The equation y=2.2x+2.5 represents what Lamonte's company charges. Fwam charges a $4 pickup fee and $2.80 per mile. Use the dropdown menu and answer-blank below to form a true statement.
Answers
The cab rate model for Fwam will be given as y=2.8x+4.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Here we have an equation model for Lamonte y=2.2x+2.5 here y is the total cost and x is the distance in miles.
So here Fwam charges a $4 pick up fee and $2.80 per mile. The equation model will be:-
y=2.8x+4.
Hence cab rate model for Fwam will be given as y=2.8x+4.
To know more about equations follow
https://brainly.com/question/2972832
#SPJ1
1/10 x 3/4
Find the product. Simplify
Answers
Answer:
3/40
Step-by-step explanation:
Can't simplify
Answer: 3/40
Step-by-step explanation:
Evaluate. Show all work
51-(21-5)x2
Answers
Answer:
19
Step-by-step explanation:
51-(16)x2
16x2=32
51-32=19
Step-by-step explanation:
B bracket
O of
D division
M multiplication
A addition
S subtraction
therefore 51-32 is equal to 49
x - 3= -21
This is so confusing:(
Answers
Answer:
\(\huge\boxed{x=-18}\)
Step-by-step explanation:
In order to solve this, we are trying to find the value of \(x\). Basically, \(x\) is a placeholder for a number that is unknown. Some number minus 3 is equal to 21.
Our goal is to find \(x\). To do this we want to isolate \(x\) on one side of the equation
\(x-3=-21\)
Let's add 3 to both sides.
\(x-3 + 3 = -21+3\\\\-3 + 3 = 0\\\\x = -21+3\\\\x=-18\)
Hope this helped!
Answer:
x = -18
Step-by-step explanation:
x - 3 = -21
add 3 to both sides
x - 3 + 3 = -21 + 3
x = -18
sidenote: you can add anything to both sides of an equation, and it'll still be true. for example, 2 = 2, if you add 1 to both sides you get 3=3 which is still true.
The start of a quadratic sequence is shown below. Work out the nth term rule for this sequence. 9 15 25, 39, 57,
Answers
The quadratic sequence's nth term rule is as follows:6n2 + 4n - 1 = an2 + bn + c .
what is sequence ?
A sequence is a group of numbers or other mathematical objects that are arranged in an orderly fashion and adhere to a predetermined pattern or rule. The sequence's individual numbers are referred to as terms, and each term's specific place in the sequence is referred to as its index. Sequences can be either finite or infinite, that is, finite or infinite in the sense that they have a finite number of terms. They can be defined in a number of ways, including with the help of algebraic expressions, recursive rules, or geometric patterns.
given
Inferring the sequence's first three terms, we get the following:
a(1)^2 + b(1) + c = 9
a(2)^2 + b(2) + c = 15
a(3)^2 + b(3) + c = 25
By condensing each equation, we obtain:
a + b + c = 9 (equation 1) (equation 1)
4a + 2b + c = 15 (equation 2) (equation 2)
9a + 3b + c = 25 (equation 3) (equation 3)
As a result, we have a system of three equations with three unknowns that we can resolve in any way. For ease of use, we will first use elimination to find the values of a and b, and then we will enter these values into one of the equations to find the value of c.
Multiplying equation 1 by -4 and adding it to equation 2, we delete a and get:
-2b - 3c = -21 (equation 4)
Eliminating a, we get: by multiplying equation 1 by -9 and adding it to equation 3.
-6b - 8c = -34 (equation 5) (equation 5)
When we concurrently solve equations 4 and 5, we obtain:
b = 4 \sc = -1
If we enter these values in equation 1, we obtain:
a + 4 - 1 = 9\sa = 6
The quadratic sequence's nth term rule is as follows:6n2 + 4n - 1 = an2 + bn + c .By changing the value of n, we can test this rule by seeing if the sequence's terms match up.
To know more about sequence visit:
brainly.com/question/21961097
#SPJ1
The start of a quadratic sequence is shown below. Work out the nth term rule for this sequence. 9
15
25,
39,
57,
Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown below. Which statements are true? Check all that apply.
2 dots plots. A dot plot titled Number of hours spent on social networks goes from 0 to 4.5. 0 has 3 dots, 0.5 has 5 dots, 1 has 2 dots, 2.5 has 4 dots, 3 has 3 dots, 3.5 has 1 dot. A dot plot titled Number of hours spent on homework goes from 0 to 4.5. 0 has 1 dot, 0.5 has 1 dot, 1 has 4 dots, 1.5 has 8 dots, 2 has 3 dots, and 4.5 has 1 dot.
The mean number of hours spent on each activity are equal.
There is a greater variability in the hours spent on social networks.
The average student spends more time on homework than on social networks.
The range for the number of hours spent on homework is greater.
Students are more consistent in the time spent on homework than the time spent on social networks.
Answers
Answer:
A,D,E
Step-by-step explanation:
Lol i took the test on edge and got it correct.
:P
Answer:
the answers are a d and e
Step-by-step explanation:
Absolute value of the quantity one fifth times x plus 2 end quantity minus 6 equals two.
x = −50 and x = 30
x = −30 and x = 50
x = −20 and x = 50
x = 30 and x = 10
Answers
x = −30 and x = 50 , Absolute value equation into two separate equations, one with the positive expression and one with the negative expression
To solve for x, we first need to isolate the absolute value expression on one side of the equation. We start by adding 6 to both sides of the equation:
|1/5(x+2)| - 6 = 2
This gives us:
|1/5(x+2)| = 8
Next, we can split this absolute value equation into two separate equations, one with the positive expression and one with the negative expression:
1/5(x+2) = 8 OR 1/5(x+2) = -8
We can then solve for x in each equation separately. Starting with the positive expression:
1/5(x+2) = 8
Multiplying both sides by 5, we get:
x+2 = 40
Subtracting 2 from both sides, we get:
x = 38
Now solving for the negative expression:
1/5(x+2) = -8
Multiplying both sides by 5, we get:
x+2 = -40
Subtracting 2 from both sides, we get:
x = -42
So our two solutions are x = -42 and x = 38. However, we need to check our answers to make sure they satisfy the original equation. Plugging in x = -42 gives us:
|1/5(-42+2)| - 6 = 2
Simplifying the expression inside the absolute value, we get:
|(-40/5)| - 6 = 2
Simplifying further, we get:
8 - 6 = 2
2 = 2 (True)
Therefore, x = -42 is a valid solution. Next, plugging in x = 38 gives us:
|1/5(38+2)| - 6 = 2
Simplifying the expression inside the absolute value, we get:
|(40/5)| - 6 = 2
Simplifying further, we get:
8 - 6 = 2
2 = 2 (True)
Therefore, x = 38 is also a valid solution.
To know more about equation visit :-
https://brainly.com/question/29657983
#SPJ11
2. for each of the following situations, state the predictor variable and the outcome variable. a. a study is done to test if the number of risky behaviors changes with increasing age. b. a study is done to test if the level of education of children changes based on the number of family members.
Answers
In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.
In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.
It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.
For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.
For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.
Learn more about independent variable at: brainly.com/question/1479694
#SPJ11
Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=y+2x=y+2
Answers
9514 1404 393
Answer:
(3, 1)
Step-by-step explanation:
We assume you want the solution to the system ...
2x−3y=3x=y+2The second equation gives a nice expression for x, so we can use that in the first equation.
2(y+2) -3y = 3 . . . . substitute for x in the first equation
2y +4 -3y = 3 . . . . . eliminate parentheses
-y = -1 . . . . . . . . . . . collect terms, subtract 4
y = 1 . . . . . . . . . . . . multiply by -1
x = 1 +2 = 3 . . . . . . substitute for y in the second equation
The solution is (x, y) = (3, 1).
The figure(Figure 1) is a graph of Ex. The potential at the origin is -140 V . What is the potential at x=3.0m? Expert Answer. Who are the experts?
Answers
As per the given origin, the potential at x = 3.0m is 143.0V
The term origin in math is referred as the initial point or the starting point from where we begin our calculations or measurements.
Here we have given that the potential at the origin is -140 V.
And we need to find the potential at x = 3.0m.
While we looking into the given question, we have identified that the region of space has a non-uniform electric field that points in the +x-direction and has magnitude and as the reference point, it take the potential at the origin to be -140 V .
Then the electric potential at x=3.0m is calculated as,
=> V(3) - 140 = 3.0
=> V(3) = 143.0
To know more about origin here.
https://brainly.com/question/17963034
#SPJ4
PLEASE HELP ASAP!!!
Will give 15 points!!
Answers
check the image below for working
2) -y =-4
y= 4
√490,000 + 93
(simplify) ill give brainliest if correct
Answers
Answer:
793
Step-by-step explanation:
\( \sqrt{490000 =} \)
700
700+93
=793
-PLEASE HELP ASAP-
The first figure is dilated to form the second figure.
Which statement is true?
A)The scale factor is 0.25.
B)The scale factor is 4.
C)The scale factor is 4.35.
D)The scale factor is 7.25.
Answers
Answer:
C
Step-by-step explanation:
5.8 - 4.35= 1.45
Since the 1980s, the percentage of Americans who are members of a workplace union has reduced by how much?
Answers
Since the 1980s, the percentage of Americans who are members of a workplace union has declined significantly.
According to data from the Bureau of Labor Statistics, the union membership rate in the United States has experienced a substantial decrease over the past few decades. In the 1980s, the union membership rate was around 20% of the total workforce. However, as of the most recent available data, which is from 2020, the union membership rate stands at approximately 10.8%.
This indicates a decline of about 9.2 percentage points since the 1980s. The reasons for this decline include various factors such as changes in labor laws, economic shifts, and shifts in industries and employment patterns.
To learn more about percentage click here: brainly.com/question/31733229
#SPJ11
Figure I and Figure II are similar figures.
Answers
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 17.
The range is the best measure of variability, and it equals 4.
The IQR is the best measure of variability, and it equals 4.
The range is the best measure of variability, and it equals 17.
Answers
The appropriate measure of variability for the data is C, the IQR is the best measure of variability, and it equals 4.
How is IQR the best measure of variability?The interquartile range (IQR) is the best measure of variability for this data because it provides a measure of the spread of the middle 50% of the data, which is more resistant to outliers than the range.
To calculate the IQR, we subtract the first quartile (Q1) from the third quartile (Q3). From the box plot, we can see that Q1 is approximately 17 and Q3 is approximately 21. Therefore, IQR = Q3 - Q1 = 21 - 17 = 4.
Learn more on IQR here: https://brainly.com/question/4102829
#SPJ1
Let X and Y denote the tarsus lengths of male and female grackles, respectively. Assume that X is N(,) and Yis N(4,²). Given that the sample number of X and Y are n=m=25, and X = 33.8, S=3.9,Y=32.5, S=5.1. Use these observations to give a level a=0.05 test for H₁:μx = μy VS Hoxy. Give the p-value of this test. (10 pts)
Answers
To test the hypothesis H₁: μx = μy versus Hoxy, where μx and μy represent the means of X and Y respectively, we can perform a two-sample t-test. The test compares the means of two independent samples to determine if they are significantly different from each other.
The given information provides the sample means (X = 33.8, Y = 32.5) and the sample standard deviations (Sx = 3.9, Sy = 5.1). The sample sizes for both X and Y are n = m = 25.
Using this information, we can calculate the test statistic, which is given by:
t = (X - Y) / sqrt((Sx^2 / n) + (Sy^2 / m))
Plugging in the values, we get:
t = (33.8 - 32.5) / sqrt((3.9^2 / 25) + (5.1^2 / 25))
Next, we need to determine the degrees of freedom for the t-distribution. Since the sample sizes are equal (n = m = 25), the degrees of freedom for the test is given by (n + m - 2).
Using the t-distribution table or software, we can find the critical value corresponding to a significance level of α = 0.05 and the degrees of freedom.
Finally, we compare the calculated test statistic with the critical value. If the test statistic falls within the rejection region (i.e., the absolute value of the test statistic is greater than the critical value), we reject the null hypothesis. The p-value can also be calculated, which represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.
Learn more about probability here: brainly.com/question/13604758
#SPJ11
Which expression is a difference of a number and a product?
OA. 7-5x
OB. 5+x-3
C. 5(x-3)
OD. 3+5x
Answers
⇒Option A is an expression of a difference 7 and 5x which is the product of 5 and x.
⇒Option A is the answer.
PLEASE HELP ME NOW 3/5g − 1/3 = −10/3 WHAT IS G
Answers
Answer:
The answer is G = -5
Step-by-step explanation:
your welcome :)
Pleaseee help I need this done ASAP will mark brainless if correct!!
Answers
I believe its 1/2 because m always stands for slope for slope formula
What is the image point of (1,4)(1,4) after a translation left 5 units and down 3 units?
Answers
Answer:
(-4,1)(-4,1)
Step-by-step explanation:
Answer:
(-4,1)(-4,1)
Step-by-step explanation:
because its right
13. What are the three methods we can use to express the logical behavior of Boolean functions?
Answers
Boolean algebra, truth tables, and logic diagrams are the three methods of Boolean functions.
The three methods to express the logical behavior of Boolean functions are:
1. Boolean algebra: This method uses algebraic expressions with binary variables and operators such as AND, OR, and NOT to represent the logical behavior of a Boolean function.
2. Truth tables: A truth table is a tabular representation of all possible input combinations and their corresponding output values for a given Boolean function. Each row in the table represents a unique input combination, and the corresponding output value is the result of applying the Boolean function to that input.
3. Logic diagrams: Also known as logic gates or circuit diagrams, these graphical representations use symbols to illustrate the logical relationships between input and output variables. Common symbols include AND, OR, and NOT gates, which represent the fundamental Boolean operations.
By utilizing these methods, you can effectively express and analyze the logical behavior of Boolean functions in a variety of scenarios.
Learn more about boolean functions here:
https://brainly.com/question/7581378
#SPJ11
Angles A and B are complementary to each other. If m∠A = 41° and m∠B = (2x + 19)°, find the value of x.
x = 15
x = 11
x = 58
x = 30
Answers
Given that Angles A and B are complementary to each other, the numerical value of x is 15.
What is the numerical value of x?Complementary angles are angles that sum up to 90 degrees.
Given the data in the question;
Angles A and B are complementary to each other.Measure of angle A = 41°Measure of angle B = (2x + 19)°Since Angles A and B are complementary to each other, the sum of angle A and B is 90 degrees.
Measure of angle A + Measure of angle B = 90°
Plug in the given values and solve for x.
41 + (2x + 19) = 90
41 + 2x + 19 = 90
2x + 60 = 90
2x = 90 - 60
2x = 30
x = 30/2
x = 15
Given that Angles A and B are complementary to each other, the numerical value of x is 15.
Learn more about complementary angles here: https://brainly.com/question/28584107
#SPJ1
Answer: A is the answer
Step-by-step explanation: i took the test and got it right
please...In your own words, what is a radical expression?
Answers
A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol. ... Radical inequality an inequality containing a radical expression with the variable in the radicand.
Step-by-step explanation:
Hope this helps!
Write True or False.
b. The graphical technique used to describe the relationship between two interval (i.e. quantitative) variables is the scatter diagram.
c. When possible, the best way to establish that an observed association is the result of a cause- and-effect relation is by means of the correlation coefficient.
d. Using the regression equation to make predictions for values of the predictor variable outside the range of the observed values of the predictor variable is called extrapolation.
e. All normal distributions are defined by the mean and standard deviation.
f. The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with μ = 8.7 inches and σ = 1.2 inches. X is a discrete variable.
g. Two t-curves have degrees of freedom 10 and 22 respectively. The one with 10 degrees of freedom more closesly resembles the standard normal curve.
h. The correlation between the daily sales of air conditioners and the daily sales of electric fans in July found to be 0.92. A least squares regression line that predicts daily sales of air conditioners (y) from daily sales of electric fans (x) is fitted to the data. An increase in the daily sales of electric fans causes an increase in the daily sales of air conditioners in July
Answers
the answer is probably g
How do you turn 48% in to a decimal?
Answers
Answer:
0.48
Step-by-step explanation:
Since a percent is ALWAYS a part of the number 1, this makes it to where you must multiply by 100 in order to convert a percent into a decimal. In this case, 48%(100) is 0.48.
Write the quotient and remainder when we divide (x^3 -4x^2 + 2x + 5) by (x - 2)
Answers
Answer:
Step-by-step explanation:
Sorry I can't explain how it is done. It is very difficult to explain on paper.
help meeeeeeeeeeeeeeee pleaseee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeee pleaseee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Vertex (3, 5) ⇒ h = 3, k = 5
a is the same as given.
The equation:
f(x) = 7(x - 3)² + 5