In parallelogram WXYZ, what are the coordinates of the point of intersection of WY and ZX?

Point of Intersection = ____ ____

In Parallelogram WXYZ, What Are The Coordinates Of The Point Of Intersection Of WY And ZX?Point Of Intersection

Answers

Answer 1

Answer:

Point of intersection of WY and ZX is (3.5, 3.5).

Step-by-step explanation:

Since, diagonals of a parallelogram bisect each other,

Point of intersection of the diagonals will be midpoint of each diagonal.

By this property, midpoint (x, y) of the segment joining W(-2, 6) and Y(9, 1) will be,

\(x=\frac{x_1+x_2}{2}\)

x = \(\frac{-2+9}{2}\) = 3.5

Similarly, y-coordinate of the midpoint will be,

y = \(\frac{y_1+y_2}{2}\)

y = \(\frac{6+1}{2}\) = 3.5

Therefore, point of intersection of the diagonals of the given parallelogram will be (3.5, 3.5).


Related Questions

Susie walk 10 miles each week. she has already walked 3 miles this week and expects to walk 100 miles how long will it take her to walk 100 miles

Answers

Answer:

10 weeks

Step-by-step explanation: 100÷10=10

big brain

Answer:

9 week and 4 days

Step-by-step explanation:

Which two of these squares have the same amount shaded? A P and Q B P and S C Q and R D R and SPRQSRELEASE

Answers

Answer:

There is no picture but I think b

Step-by-step explanation:

Find the measure of

Find the measure of

Answers

Answer:

54+46=100

54 is the answer

Amanda tells you that because a variable is in the denominator, the equation 3/x+1/3 = 5/6 becomes unsolvable. Amanda explained there is a value for x that makes the denominator 0, and you can't divide by 0. Demonstrate to Amanda how the equation is still solvable and explain your reasoning.

Answers

Answer:

x=6

Step-by-step explanation:

5/6-1/3=3/6 or 1/2 so 3/x=1/2 and since 3/6=1/2 x=6

Assume that y varies inversely with x. If y = 7 when x = -2, find у when x = 7. y = ??​

Answers

Answer:

-2

Step-by-step explanation:

y=k/x

Replace y with 7 and x with -2

7=k/-2 gives you -14

Then you can replace k with -14 and x with 7

y=-14/7 gives you -2

Solve the system of equations: y=x^2, y=x+6

A.(3,9)
B.(-3,9),(2,4)
C. (-2,4),(3,9)
D.(-2,-4),(3,9)

Answers

The answer is C. (-2,4), (3,9)

Which function could be represented by this graph

Which function could be represented by this graph

Answers

Answer:

The function is going up

Step-by-step explanation:

the arrow is going up

Answer: y=2^{x}

Step-by-step explanation:

12.Identify the type of triangle

12.Identify the type of triangle

Answers

Answer:

a) acute triangle

b) obtuse triangle

c) right-angled triangle

d) equilateral

e) isosceles, right-angled triangle

Step-by-step explanation:

If all the angles in the triangle are less than 90°, it is an acute triangleIf one angle in the triangle is a right angle, then it is a right-angled triangleIf at least one angle is above 90°, it is an obtuse triangleIf all the sides of the triangle are equal, it is an equilateral triangleIf two sides of the triangle are equal, it is an isosceles triangleIf no sides of the triangle are the same length, it is a scalene triangle

Hope this helps!

What is development necessary?​

Answers

Answer:

Development is necessary because without development a country cannot be developed and people cannot get enough raw materials.More people will suffer from poverty, health facilities and drinking water.

Triple the sum of x and five amounts to the product of two and x.

Answers

Answer: 15

Step-by-step explanation:

3(x+5)=2x

3x+15=2x

15=x

Find the slope of the line.
1.
у
9
|(2,9)
6
(-1,3)
3
-2
o
1 2 3 x
6
9
Its graphing plss i need help

Answers

Answer:

The slope is 2

Step-by-step explanation:

Given

\((x_1,y_1) = (2,9)\)

\((x_2,y_2) = (-1,3)\)

Required

The slope (m)

This is calculated as:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{3 - 9}{-1 - 2}\)

\(m = \frac{- 6}{-3}\)

\(m =2\)

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE

Answers

Answer:34a

Step-by-step explanation:

because 6a-4=2a

4a+28=32a

2a+32a=34a

it’s 16
i just learned this

Find volume of a 6mi sphere

Answers

The volume of a 6 mi sphere = V = 4/3 πr³.

A cruise ship heads due west from a port 5 miles directly south of San Francisco. If the ship is travelling at a constant rate of 18 mph, how fast is the distance between the ship and San Francisco changing 1 hour after leaving port? Round your answer to the nearest tenth.

Answers

Given that the Ship traveling at 18 mph is 5 miles south of San Francisco, the rate of change of the distance from San Francisco is approximately 17.57 mph

How can the rate of change of the distance be found?

Given;

Vertical distance from the path of the ship to San Francisco = 5 miles

Rate at which the ship is traveling = 18 mph

Required;

The rate at which the distance from the ship to San Francisco is changing 1 hour after leaving the port.

Solution;

Let x represent the horizontal distance from the ship to San Francisco, and let y represent the vertical distance, we have;

Using Pythagorean theorem, we have;

The distance from the ship to San Francisco, d is; d² = x² + 4²

Which gives;

\(2\cdot d\cdot \dfrac{dd}{dt} = 2\cdot x \cdot \dfrac{dx}{dt} \)

After 1 hour, we have;

x = 18 miles

Which gives;

d² = 18² + 4² = 340

d = 2•√(85)

\( \dfrac{dd}{dt} = \dfrac{2\cdot x \cdot \dfrac{dx}{dt}}{2\cdot d} \)

Therefore;

\( \dfrac{dd}{dt} = \dfrac{36 \times 18}{2\times 2•√(85)} ≈ 17.57 \)

The rate at which the distance between San Francisco is changing after 1 hour is, d ≈ 17.57 m/s

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Hongbo sold x cell phones in 2013. The number of cell phones he sold in 2014 was 128% greater than in 2013, and the number of cell phones he sold in 2015 was 29% greater than in 2014. Which of the following expressions represents the number of cell phones Hongbo sold in 2015? A) (0.29)(1.28x) B) (0.29) (2.28x) C) (1.29)(1.28x) D) (1.29) (2.28x)

Answers

The number of cell phones sold in 2015 is (0.29)(1.28x)

The correct answer is A) (0.29)(1.28x).

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is 1. Linear equations can be written in the form ax + b = 0, where a and b are constants and x is the variable. Linear equations are called "linear" because they represent a straight line when plotted on a graph.

We are told that the number of cell phones Hongbo sold in 2014 was 128% greater than in 2013, which means that he sold 128/100 = 1.28 times as many cell phones in 2014 as he did in 2013. This can be represented by the equation x * 1.28 = number of cell phones sold in 2014.

We are also told that the number of cell phones Hongbo sold in 2015 was 29% greater than in 2014, which means that he sold 29/100 = 0.29 times as many cell phones in 2015 as he did in 2014. This can be represented by the equation (number of cell phones sold in 2014) * 0.29 = number of cell phones sold in 2015.

Substituting the first equation into the second equation, we get:

(x * 1.28) * 0.29 = number of cell phones sold in 2015

This simplifies to:

(0.29)(1.28x) = number of cell phones sold in 2015

Hence, the number of cell phones sold in 2015 is (0.29)(1.28x)

the correct answer is A) (0.29)(1.28x).

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Rumus suatu fungsi di nyatakan dengan f (x) = 2x + 5. Jika f(a) = 7, nilai a adalah

Answers

Step-by-step explanation:

As my previous answer got deleted for being wrong (in which it was right), I will answer again.

The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.

This is proof that it is right, and that there are some corrupt admins on brainly.

How to get to this solution?

Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).

If we do so, we get 2a + 5 = 7.

Solving this equation, we get a = 1.

A student measures the mass of a sample is 2.7 grams. What is the percent error, given that the correct mass is 2.58 grams? Round to the nearest hundredth of a percent.

Answers

Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

The amount of tax for another camera is $5.25 and the tax rate is 6%. Use the given equation to find the price before tax.

Answers

Answer:

0.31 *rounded to the nearest thousendth.*

Step-by-step explanation:

$5.25*6/100=Your tax

Answer:

$ 87.50

Step-by-step explanation:

First, identify what is given from the problem:

Tax Amount = $5.25

Tax Rate = 6%

Original Cost  = ?

Then let us state the original formula stated from the problem.

Tax Amount = (Original Cost)(Percent)

Since the Percent in our equation is the Tax Rate, let us substitute it to avoid confusion.

Tax Amount = (Original Cost)(Tax Rate)

The Original cost is the only unknown in this equation as stated from the given. Now we need to arrange first the equation so that the unknown should be on the left side.

(Original Cost)(Tax Rate) = Tax Amount  

To remove the Tax Rate to be multiplied to the Original Cost, let us divide both side by the same Tax Rate. This holds true to all as long as what you did on the left side of the equation should be done on the right side of the equation.

(Original Cost)(Tax Rate) / (Tax Rate) = (Tax Amount) / (Tax Rate)

This will cancel the Tax Rate on the left side of the equation to yield to a new formula for the Original Cost.

Original Cost = (Tax Amount) / (Tax Rate)

We can then substitute the values to solve the problem

Original Cost = $ 5.25 / 0.06

Original Cost = $ 87.50

Therefore the original price before tax is $ 87.50

Use StatKey or other technology to find the regression line to predict Y from X using the following data.
X 10 20 30 40 50 60
Y 111 109 110 94 92 93
Click here to access StatKey.
Round your answer for the intercept to one decimal place and the answer for the slope to two decimal places.
The regression equation is Enter your answer; The regression equation, intercept
+ Enter your answer; The regression equation, slope
X.

Answers

The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

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The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.

Answers

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king? ​

Answers

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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what is
(-1/3)+1/4+(-1/5)

Answers

Answer:

-17/60

Step-by-step explanation:

(-1/3)+1/4+(-1/5)

1. Are the following events mutually exclusive?
Event A: Randomly selecting a male student at Riverdale High School.
Event B: Randomly selecting a member of the football team at Riverdale High School.

a. No, these are not mutually exclusive events
b. Yes, these are mutually exclusive events.

2. Use the Multiplication Rule to find the probability: The probability of a kidney transplant surgery is successful is 0.775. Find the probability of at least one surgery, out of 3, will be successful.

a. 0.997
b. 0.465
c. 0.535
d. 0.989

Answers

Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

Answer Pls I need this question

Answer Pls I need this question

Answers

Answer:

T = 1.5

Step-by-step explanation:

If you count all the boxes with T in them there is 6 and if you divide 6 by 9 you get 1.5, 9 divided by 6 = 1.5

Hope this helps!

a cylinder container 12 inches tall with a radius of 6 inches is completely filled with vanilla, chocolate, and strawberry ice cream in the ratio 3:2:1. Which statement(s) are correct?
A.) The volume of vanilla ice cream is V = 216π in^3
B.) The total volume of ice cream is V = 1728π in^3
C.) The total volume of ice cream is V = 432π in^3
D.) The volume of strawberry ice cream is V = 288π in^3
E.) The volume of chocolate ice cream is V = 576π in^3

Answers

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=12 \end{cases}\implies V=\pi (6)^2 (12)\implies \stackrel{\textit{total volume of ice-cream}}{V=432\pi ~in^3}\)

Explain why this comparison is either reasonable or not reasonable. 7.52 > 7.5​

Answers

Answer:

Step-by-step explanation:

Reasonable. 7.5 = 7.50

7.52 > 7.50

subtract 7.50 from both sides

0.02 > 0

Joe works in a
cafe. He is paid a per hour. How much klage of $19.26 would 4 Joe earn for working a 35 low week ​

Answers

Answer:

To calculate how much Joe would earn for working a 35-hour week, you need to multiply his hourly wage by the number of hours he worked123. For example, if Joe is paid $19.26 per hour, then his weekly pay is:

$19.26 x 35 = $673.10

This is his gross pay, which means it does not include any deductions for taxes or other benefits. His net pay, or take-home pay, may be lower depending on his filing status, allowances, withholding information and voluntary deductions1. You can use an hourly paycheck calculator to estimate his net pay1.

I hope this helps you understand how to calculate hourly pay. If you have any other questions, please let me know.

Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 430 minutes and the cost was $150.00. In July she used 880 minutes and the cost was $285.00.

Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a

Answers

A)

In order to find the function for the cost C, we can use the slope-intercept form of a linear equation:

\(C=mx+b\)

Where m is the slope and b is the y-intercept.

To calculate the value of m, we can use the formula below for the slope between two points (x1, y1) and (x2, y2):

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Since x is the number of minutes and C is the cost function, we can use the ordered pairs (x, C). So, using the points (430, 150) and (880, 285), we have:

\(m=\frac{285-150}{880-430}=\frac{135}{450}=0.3\)

Now, to calculate the value of b, let's use the point (430, 150) in the equation (that is, x = 430 and C = 150):

\(\begin{gathered} C=0.3x+b \\ (430,150)\colon \\ 150=0.3\cdot430+b \\ 150=129+b \\ b=150-129 \\ b=21 \end{gathered}\)

Therefore the cost function is:

\(C=0.3x+21\)

B)

Now, to find the cost for 295 minutes, let's use x = 295 and calculate the value of C:

\(\begin{gathered} C=0.3\cdot295+21 \\ C=88.5+21 \\ C=109.5 \end{gathered}\)

Therefore the cost for 295 minutes is $109.50.

a number n decreased by the difference between six and the number

Answers

Answer: 2n - 6

Step-by-step explanation:

n - (6-n)

n - 6 + n

2n - 6.

2n - 6 is more simplified than n - (6-n) but if they want you to write it just as the words say, than go with n - (6-n)

If triangles ABC and DEF are similar, what is y? Show your work.

If triangles ABC and DEF are similar, what is y? Show your work.

Answers

The value of y is 18

What are similar triangles?

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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