Let ABCD be a parallelogram. Let M be the midpoint of line AB and N be the midpoint of line AD. Diagonal BD intersects line CM and line CN at P and Q, respectively. Find PQ/BD.

By solving the system using elimination method 5x + 4y = 12 and 3x -3y = 18 we get x = 4 and y = -2.

What is Elimination Method?

To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

Now solving the both equation by using elimination method;

5x +4y = 12                                                     ----------------------------eq(1)

3x - 3y = 18                                                     ----------------------------eq(2)

Multiply equation (1) by 3 and equation (2) by 4,  we get;

15x + 12y = 36

12x - 12y = 72

Now, same equation will beb together;

15x + 12y + 12x - 12y = 36 + 72

15x + 12x = 36 + 72

27x = 108

x = 108/27

x = 4

Now, we calculate for the y ;

3x - 3y = 18

3 * 4 - 3y = 18

12 - 3y = 18

12 - 18 = 3y

3y = -6

y = -6/3

y = -2

(x, y) = (4, -2)

So, by solving the system using elimination method 5x + 4y = 12 and 3x -3y = 18 we get x = 4 and y = -2.

To learn more about Elimination method click here:

https://brainly.com/question/25427192

#SPJ1

Answer:

  (b)  40

Step-by-step explanation:

You want the value of the "whole" corresponding to a "part" of 25 in the given table.

Based on the relationships in the 2nd and 3rd columns, it appears that the parts on the second line are 5/8 of the whole.

This means that 25 is 5/8 of B, or ...

  B = 8/5 × 25 = 40

The value of B in the table is (b) 40.

__

Additional comment

The parts on the first line will be 3/5 of the value of the parts on the second line. The sum of the two parts in each column is equal to the whole.

<95141404393>

An equation which can represent a baby manatee's growth include the following: B. x + 4 ≤ 13.

The variable x represent the baby manatee's growth after birth.

In order to write and solve an inequality that represents a baby manatee's growth, we would take note of the following important information;

Now, we can write an inequality that represents the value of x for which a baby manatee's growth as follows;

x + 4 ≤ 13

By subtracting 4 from both sides of the inequality, we have the following:

x + 4 - 4 ≤ 13 - 4

x ≤ 11

Read more on inequality here: brainly.com/question/19732652

#SPJ1

Answer:

A resposta correta é 6. Esta sequência geométrica,  tem uma razão comum de r = 1/2.  O 10º prazo o da sequência pode ser encontrado usando a fórmula an = a1 * r-n1, em de n é o número do prazo. Assim, o 10º prazo é: ano = 384 * (1/2)9 = 384 * (1/512) = 6

Equate the slopes of the opposite lines with (x,y) as the coordinates of the missing vertex.

How to find vertex of a parallelogram?

To learn more about parallelogram refers to:

https://brainly.com/question/970600

#SPJ1

Equate the slopes of the opposite lines with (x,y) as the coordinates of the missing vertex.

To learn more about parallelogram refers to:

brainly.com/question/970600

#SPJ1

Answer:

the 4 represents how many times 5 can go into 20

The length of each bar is given as follows:

3.5 inches.

As a mixed number, the length of each bar is given as follows:

3 and 1/2 inches.

The length of each bar is obtained applying the proportions in the context of this problem.

The bar that is 7 inches long is divided into two equal parts, hence the length of each part is given as follows:

7/2 = 3.5 inches.

The fraction equivalent to a decimal of 0.5 is given as follows:

1/2.

(which is used to construct the mixed number).

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The percentage and decimal values of the given fraction are 26.67% and 0.267 respectively.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given a fraction number 4/15

To convert it into decimals we need to divide 4 by 15

Thus, the Decimal value = 0.2666...

the Decimal value = 0.267

To convert it into a percentage we need to multiply it with 100

So,

The percentage values of the given fraction = 4/15 * 100

The percentage values of the given fraction = 26.67%

Therefore, the percentage and decimal values of the given fraction are 26.67% and 0.267 respectively.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ1

The 95% confidence interval for the population mean is given as follows:

(3.64, 4.18).

It tells that we are 95% sure that the true population mean rating is between these two bounds.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 15 - 1 = 14 df, is t = 2.1448.

The remaining parameters for this problem are given as follows:

[tex]\overline{x} = 3.91, s = 0.48, n = 15[/tex]

Hence the lower bound of the interval is of:

[tex]3.91 - 2.1448\frac{0.48}{\sqrt{15}} = 3.64[/tex]

The upper bound of the interval is of:

[tex]3.91 + 2.1448\frac{0.48}{\sqrt{15}} = 4.18[/tex]

The sample is given as follows:

3.9

3.1

3.7

4.4

3.2

4.1

3.3

4.4

4.3​,

4.4

4.5

3.9

3.2​

4.2,

4.0

More can be learned about the t-distribution at https://brainly.com/question/17073112

#SPJ1

The population of the given study in the polling organization contacts is given by :

Option B. Teenagers who are 13 to 17 years of age and live in the United States.

Total number of people attended by the polling organization = 1398

Population is represented by all teenagers of United States in the age group of 13 to 17 years of age.

Those who attended the concert represents the sample of particular category.

Therefore, the population of the required study is given by :

Option B. Teenagers belongs to 13 to 17 years of age and live in the United States .

Learn more about population here

brainly.com/question/27991860

#SPJ4

Answer:

dividir

Step-by-step explanation:

PEMDAS

you must Divide first, since its's left most

The distance 4450× 10⁶ km between the Neptune and the sun in AU is 29.75 AU

The astronomical unit is a unit of length, roughly the distance from Earth to the Sun and approximately equal to 150 million kilometres or 8.3 light-minutes. The actual distance from Earth to the Sun varies by about 3% as Earth orbits the Sun, from a maximum to a minimum and back again once each year.

An astronomical unit is the average distance between the Earth and the Sun. Estimates of this distance have varied over time. It is now defined as exactly 149,597,870.7 kilometers.

if 149,597,870.7 kilometers = 1 AU

then 4450× 10⁶ km = 4450× 10⁶ ÷149,597,870.7

= 29.75 AU

Thefore the distance between the sun and neptune is 29.75 AU

learn more about astronomical unit from

https://brainly.com/question/21860092

#SPJ1

A call center required the number of agents is equal to 18.

One of the most frequent themes in quantitative aptitude that is tested in government exams is time and work. One of the subjects that candidates are knowledgeable about even before they begin preparing for competitive exams.

The idea of time and effort is still the same, but there may be some variation in the questions that are posed. The majority of the questions on this topic are 1-2 word problems, but candidates should also be ready for questions about data sufficiency and data interpretation that may come up over the course of their work.

A 24/7 calling center works as follows: every agent works 5 days in a row and has two days rest, e.g., every week works Tuesday Saturday and rests on Sunday and Monday.

total working day of call center = 7

agent's working day =5

so, required the minimal number of agents-

[tex]=\frac{7!}{2!.5!}\\\\=\frac{35}{2}\\\\= 17.5 = 18[/tex]

So, at least required number of agents = 18.

learn more about Work,

https://brainly.com/question/18094932

#SPJ4

The required point-slope form for the given line is  y = 3x/2 + 14.

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change. Draw a sloping triangle connecting the two spots you find on the line. ​

We have,

A line passes through the point (-6, 5) and has a slope of 3/2

Then the equation of line is;

y - 5 = 3/2(x - (-6))

y - 5 =  3/2 (x + 6)

2y - 10 = 3x + 18

2y = 3x + 28

y = 3x/2 + 14

Thus the point slope form of the line is y = 3x/2 + 14.

To know more about equation visit:

brainly.com/question/21511618

#SPJ1

A graph of each function is shown in the image attached below.

The number of commercials (x) is equal to 8 commercials while the number of movies (y) is equal to 4 movies.

In order to graphically solve the system of equations, we would write two (2) equations that models the situation by assigning variables to the number of commercials and number of movies respectively, and then translate the word problem into algebraic equation as follows:

Since Gianna would earn $50 every time one of her songs is played in a commercial and $100 every time one of her songs is played in a movie, an equation which models it is given by;

50x + 100y = 800

Additionally, Gianna's songs were played on twice as many commercials as movies;

x = 2y

Next, we would use an online graphing calculator to plot the above system of equations with a point of intersection at (8, 4) as shown in the image attached below.

Read more on a graph here: brainly.com/question/4546414

#SPJ1

The type of statistical methods used to draw conclusions about the population based on a sample is called inferential statistic.

Statistical inference refers to the process of generating inferences about a population from a sample or subset of the data. The goal of inferential statistics is to extrapolate from sample data to the population as a whole by comparing the parameters of multiple samples. Two major categories of inferential statistics use distinct strategies to extrapolate information from samples of the population. These are regression analysis and hypothesis testing. Inferential statistics, including hypothesis testing, examines sample data to draw conclusions about the whole population. It entails establishing a null hypothesis and an alternative hypothesis, then doing a statistical test of significance to determine which one is more likely to be correct. The impact of one variable on another can be measured with the use of regression analysis.

To learn more about inferential statistics, click here:

https://brainly.com/question/28352023

#SPJ4

Answer:

Rise: 2

Run: 1

Slope: 2

At what point does the line intersect the y-axis? (0,-1)

The formula for rate given is not ideal, as it does not take into account factors like the distance traveled or additional services offered by the bus company. It also does not account for additional fees or taxes. Therefore, it does not provide an accurate representation of the price and should not be used.

(a) R(n) = r(n) * n = (8 − 0.05(n − 80)) * n

(b)

n r (dollars per person) R (dollars)

80 8 640

90 7.5 675

100 7 700

(c) This formula for the rate is not ideal, as it does not take into account factors like the distance traveled or any additional services that the bus company may offer. It also does not account for any additional fees or taxes. I would not use this formula, as it does not provide an accurate representation of the price the bus company should charge for its services.

The formula for rate given is not ideal, as it does not take into account factors like the distance traveled or additional services offered by the bus company. It also does not account for additional fees or taxes. Therefore, it does not provide an accurate representation of the price and should not be used.

Learn more about distance here

https://brainly.com/question/28956738

#SPJ4

Answer:

Step-by-step explanation:

Given ∠B=45,∠C=55

So, ∠A=180°−45°−55°

=80°

From △ABD,40°+45°+∠ADB=180°

⟹∠ADB=95°

From△ADC,40°+55°+∠ADC=180°

⟹∠ADC=85°.

The true statements regarding the construction are statement 2) and statement 5)

"Construction" in Geometry means to draw shapes, angles or lines accurately. These constructions use only compass, straightedge (i.e. ruler) and a pencil.

Given that, A design began from the construction of a regular hexagon.

The true statements made on the construction is;

2) When JKLO is reflected across segment OJ, JKLO is taken to JIHO. So, quadrilateral JKLO is congruent to quadrilateral JIHO.

5) When JKLO is reflected across segment OL, JKLO is taken to HGLO. So, quadrilateral JKLO is congruent to quadrilateral HGLO.

Hence, The true statements regarding the construction are statement 2) and statement 5)

To learn more on Constructions click:

brainly.com/question/8606089

#SPJ1

According to the given vector, the component form of u is (−3.87, 1.048)

The term vector in math is known as a quantity or phenomenon that has two independent properties such as magnitude and direction

Here we have given that the value of the following are obtained through the given diagram.

θ = 165°

Then the value of |u| is calculated by using the formula,

=> ∣u∣ = 4θ

When we apply the value on it, then we get,

=> ∣​u​​​∣=4

Now, we have to calculate the value of

=> ∣​u​​​∣cos165° ​​​= −3.864

=> ∣​u​∣sin165° ​ ​= 1.035

Then the component form of the vertor u is written as,

=> ​u ​​= (∣​u​​​∣cos165°​​, ∣​u​​​∣sin165​°​​)

When we apply the values on it, then we get the resulting form as,

=> ​u ​= (−3.87, 1.048)

Complete question:

The vector u is shown below. Find the component form of u.

To know more about vector here.

https://brainly.com/question/29740341

#SPJ4

Step-by-step explanation:

[tex] \alpha + \beta = \frac{ - b}{a} = 6 \\ \alpha \beta = \frac{c}{a} = 19 \\ p(x) = k( {x}^{2} - ( \alpha + \beta )x + ( \alpha \beta )) = 0\\ = k( {x}^{2} - 6x + 19) \\ polynomial \: = {x}^{2} - 6x + 19 = 0[/tex]

it takes so much tume to solve and type it here and its so hard so plzzz mark me as brainliest plz .

Answer:

x on the horizontal axis and y on the vertical axis.

Answer:

9 x - 5

Step-by-step explanation:

Simplify the following:

6 x - 3 - (-3 x + 2)

-(-3 x + 2) = 3 x - 2:

6 x - 3 + (-2 + 3 x)

Grouping like terms, 6 x - 3 - 2 + 3 x = (6 x + 3 x) + (-3 - 2):

(6 x + 3 x) + (-3 - 2)

6 x + 3 x = 9 x:

9 x + (-3 - 2)

-3 - 2 = -(3 + 2):

9 x + (-(3 + 2))

3 + 2 = 5:

Answer: 9 x - 5

Answer:

h minus three

Step-by-step explanation:

The number of members for counseling groups of children should generally be smaller as compared to counseling groups for adults. This is because children may feel overwhelmed in larger group settings and may not be able to adequately express themselves. Smaller groups also allow for more individualized attention and support.

The recommended number of members for counseling groups of children should generally be smaller than that of groups for adults. This is because children may feel overwhelmed in larger group settings and may not be able to adequately express themselves. This can lead to a lack of engagement and little benefit from the group counseling sessions. Smaller groups also allow for more individualized attention and support, which is important for young people to feel comfortable expressing their thoughts and feelings. Additionally, smaller groups can help create a more intimate environment for participants to safely share their experiences and feelings with one another. As such, reducing the size of the group for counseling sessions with children can help ensure a more successful therapeutic experience.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

A dataset's quartiles are critical summary statistics that split the data into four equal groups. The first quartile (q1), often known as the lower quartile, splits the data into the bottom 25% and the remainder.

The second quartile (q2), commonly known as the median, splits the data into the lowest and highest 50%. The third quartile (q3), often known as the upper quartile, divides the data into the lowest 75% and the highest 25%. These quartiles give useful information regarding the data distribution and value spread.

The quartiles may also be used to find outliers in the dataset. Understanding the quartiles is an important element of data analysis and may assist inform data-driven decision making.

To learn more about Dataset quartiles:

https://brainly.com/question/28168026

#SPJ4

The equation for the line is y=x+7.

The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation.

In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.

Given, the line's points are (2,9), (3,10), (4,11), and (5,12). (6,13)

Assuming that the line's equation is y=x+7, adding the points to the equation results in

(2,9) 9=2+7

(3,10) 10=3+7

The equation is also valid for every point on the graph.

Hence, The line's equation is y=x+7.

Learn more about a linear equation here:

brainly.com/question/545403

#SPJ1

Complete Question -

The equation of the graph is g'(x) = -(x + 2)² - 1

From the question, we have the following parameters that can be used in our computation:

g(x) = x²

From the graph, we can see that the graph is inverted

This means that

g'(x) = -x²

Next, the graph is shifted left by 2 units

This implies that

g'(x) = -(x + 2)²

Lastly, the graph is shifted down by 1 unit

So, we have

g'(x) = -(x + 2)² - 1

Hence, the equation is g'(x) = -(x + 2)² - 1

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1