Find the coordinates of the intersection of the diagonals
of parallelogram XYZW with vertices X(2, 2), Y(3, 6), Z(10, 6), and W(9,2). Hint: what do we know about
the diagonals of a parallelogram?

Answers

Answer 1

Answer:

We know the basic facts about parallelogram is The basic formula for calculating the area of a parallelogram is the length of one side times the height of the parallelogram to that side.

Step-by-step explanation:

Answer 2

The coordinates of the intersection of the diagonals  of parallelogram XYZW is at (6, 4).

Parallelogram

A parallelogram is a quadrilateral in which opposite sides are parallel and equal. The diagonals of a parallelogram bisect each other.

Given parallelogram XYZW with vertices X(2, 2), Y(3, 6), Z(10, 6), and W(9,2).

The equation of diagonal XZ is:

[tex]y-2=\frac{6-2}{10-2} (x-2)\\\\y=0.5x+1[/tex]

The equation of diagonal YW is:

[tex]y-6=\frac{2-6}{9-3} (x-3)\\\\y=-\frac{2}{3} x+8[/tex]

The point of intersection is at:

0.5x + 1 = (-2/3)x + 8

x = 6. Hence y = 4

The coordinates of the intersection of the diagonals  of parallelogram XYZW is at (6, 4).

Find out more on Parallelogram at: https://brainly.com/question/970600


Related Questions

What is the image of (-8,-5) after a dilation by a scale factor of 4 centered at the origin

Answers

It’s (-32, -20)

All you have to do is use the number 4 from the word problem, and then multiply that by both -8 and -5 separately

Please help me with this page it’s hard

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Answer:

I can't really answer but you could download photomath it basically answers these questions by itself

Step-by-step explanation:

hope this is enough

Q4a) yes, the equation is a linear function as it is a straight line; it has a slope of 2 and a y intercept of (0,2).
b) no, the equation isn't a linear function as it takes the form of a parabola (x^2-bx).

Q5) y=x+6, y= x^2+6 and y=2x+6 go through the point of (0,6). This is because, if you substitute 0 for x in all the three equations, y is always equal to 6.

Q6) the line is a linear function because it is a straight line that has a slope and a y intercept. To figure out the equation of the line, you have two points, (-2,0) and (0,3). To no the gradient, you do 3-0 divided by 0+2, which is 3/2. Then, you choose on random point and substitute it in y=mx+b

3= 3/2*0+b

So you get 3=b

So, the equation of the line is y= 3/2x+3

Which conflict reaction involves a choice of whether or not to do something when part of the situation is attractive but the other is not? approach avoidance multiple approach approach approach avoidance avoidance

Answers

Answer:

Approach-avoidance

Step-by-step explanation:

The term that is being described in this question is known as Approach-avoidance. This occurs in many real-life scenarios where individuals really want something until they are met with the negative side of that goal and ultimately turn away because of those negative traits. One example that is widely used for this term is marriage. Marriage in itself is a very positive goal that many individuals strive for, but ultimately push away from it when they begin to see the negative aspects of it, even if the positive values overshadow the negative ones.

PLEASE HELP!!!!!!!!! 32 POINTS.

Answers

The answer is 96 for this

12 1/2, 12.09, 12 2/5, 12.8 list from fastest to slowest

Answers

Answer:

tgvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv

Step-by-step explanation:

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv

Answer:

12.8, 12.09, 12, 12, 1/2, 2/5

Step-by-step explanation:

This is my answer if you mean greatest to smallest if you did not mean that tell me and I will re-write this.

plz help me on this its timed

Answers

Answer:

-2.72

Step-by-step explanation:

You need to dived -8.16 by 3t to get the answer

-3^2 + -2^3 + 6
answer plzzz!!!

Answers

Answer:

-11

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

[tex](-3)^2+(-2)^3+6[/tex]

[tex]= 9 + 4 + 6[/tex]

[tex]= 19[/tex]

Sarah travels 33 miles per hour. How long does it take her to travel 198
miles? Your answer should be in hours, rounded to the nearest tenth.
label required

Answers

Answer:

its will take Sarah 6 hours to travel 198 miles if she continues to go 33 miles per hour

Step-by-step explanation:

33 per hour

198/33 = 6

I think its time to restart my account. To hopefully turn everything around.

Answers

Answer:

oh ok but why

Step-by-step explanation:

Solve the equation for the specified variable.
T= BA-9, for B
What does b=

Answers

9514 1404 393

Answer:

  [tex]B=\dfrac{T+9}{A}[/tex]

Step-by-step explanation:

Add 9 to both sides of the equation, and divide by the coefficient of B.

  T = BA -9

  T +9 = BA

  (T +9)/A = B

We can rewrite that with B on the left:

  B = (T +9)/A

what is the size of the matrix resulting from

Answers

Answer:

1×3 or 3×3 I think...........

Answer:

1 x 3

Step-by-step explanation:

help me thank you ! appreciate it

Answers

Answer:

what does it mean by equation

Can someone help I’ll give you the brainlyst

Answers

Answer:

Step-by-step explanation:

the rate per window is the slope or the uniform amount that the y values increase by

we can see that company A increases 25$ per window

we can see company B increases 40$ per window

and company C increases 35$ per window

so company B charges more per window because it has the greatest slope

The lengths of three sides of a triangle are (x + 6) inches, (2x - 2) inches, and (2x+ 6) inches.
The perimeter of the triangle is 85 inches. What is the length of the shortest side of the triangle?

Answers

Answer:

21 inches answer F

Step-by-step explanation:

x+6+2x-2+2x+6=85

5x+10=85

5x=75

x=15

shortest is x+6

15+6

21.

Hope this helps plz hit the crown :D

After his initial reaction, Mr. Evil has some time to think. He calls you on the phone with a new plan. “OK,” he says. “I don’t need to be able to tunnel to the bank today, but I need to be able to do it within the next 30 years. I have access to a house that is much closer. I need to know if it will be close enough.” What do you need to know in order to answer him? Under what conditions would this new property be close enough to the bank????????? HELPPPPPPPPPPPPPPPPP

Answers

Answer:

um.

Step-by-step explanation:

So he is asking, abstractly, from lack of context, if his house is close enough to the bank?

This makes little sense, abstractly. I mean, does he live in a post-apocalyptic Mad Max setting where he needs explosives and men or perhaps a frozen-over world where he needs large steam-powered engines to drill through the permafrost? It makes little substantiated sense.

So you need to know how much money he has, his charisma level, and the setting of the plot.

If the property is next to the bank, then it would be, by far, close enough to the bank.

Kimberly is deciding between two cell phone plans. The first plan has a $50 sign-up
fee and costs $20 per month. The second plan has a $30 sign-up fee and costs $25 per
month. After how many months will the costs be the same for the two phone plans?

Answers

Answer:

2month and 2 weeks

Step-by-step explanation:

We are told that the first plan has a $50 sign-up

fee and costs $20 per month.

let the number of months be x, and the total cost be y

y=20x+50---------1

The second plan has a $30 sign-up fee and costs $25 per

let the number of months be x, and the total cost be y

y=30x+25---------2

Equate the two equations we have

20x+50=30x+25

solve for x, collect like terms

50-25=30x-20x

25=10x

divide both sides by 10

x= 25/10

x=2.5 months

x= 2month and 2 weeks

How is the graph of y = 4x^2 - 4 different from the graph of y = 4x^2?
A.It is shifted 4 unit(s) left.
B.It is shifted 4 unit(s) right.
C.It is shifted 4 unit(s) down.
D.It is shifted 4 unit(s) up.

Answers

Answer:

Answer -- C. It is shifted 4 units down

Step-by-step explanation:

I graphed it :)

Calculate the area and perimeter

Answers

Answer:

75cm

Step-by-step explanation:

(5*3)+(5*5)+(7*5)

Dilate the figure by a scale factor of 3.5. What are the verticals of the image?

Answers

Answer:

The vertices of the image are

J' (3.5, 14), K' (21, 14),

L' (21, 3.5), M' (3.5, 3.5) ⇒ D

Step-by-step explanation:

If the point (x, y) dilated by scale factor k and center the origin, then its image is the point (kx, ky)

In rectangle JKLM

J = (1, 4), k = (6, 4), L = (6, 1) and M = (1, 1)

∵ The rectangle JKLM is dilated by a scale factor of 3.5

→ By using the rule above multiply each coordinate by 3.5

∴ J' = (1 × 3.5, 4 × 3.5) = (3.5, 14)

∴ K' = (6 × 3.5, 4 × 3.5) = (21, 14)

∴ L' = (6 × 3.5, 1 × 3.5) = (21, 3.5)

∴ M' = (1 × 3.5, 1 × 3.5) = (3.5, 3.5)

The vertices of the image are

J' (3.5, 14), K' (21, 14),

L' (21, 3.5), M' (3.5, 3.5)

please help...........

Answers

Answer:

200.96 ft^2

Step-by-step explanation:

A= πr^2. So the radius is 8, because it's half the diameter. That means A=64π. Then you multiply that to get 200.96, given that pi is estimated to 3.14.

Darius has a cylindrical can that is completely full of sparkling water he also has an empty cone shaped paper cup the height and radius of the Canton Cup are shown Darius por sparkling water from the can is the paper cup into a completely full approximately how many centimeters high is a sparkling water left in the can ​

Answers

Answer:

I think it would be 6

Step-by-step explanation:

:3

Answer:

6.2

Step-by-step explanation:

LINK

Linda ran 2 mile in 1/3 hour. How many
miles did she run in one hour?

Answers

She would’ve ran 6 miles in an hour.

Answer:

6

Step-by-step explanation:

if she runs 2 miles in 1/3 of an hour, all you have to do is multiply 2 by 3 and you get 6.

The Alvarado family went out for supper last week. The meal cost $65.92.
.
The sales tax is 7% of the meal.
The tip was 20% of the meal.
There are 4 people in the family.
What was the cost per person for the meal, including sales tax and tip?
A. $84.64
B. $21.16
C. $14.11
D. $16.48

Answers

The correct answer is $21.16

Explanation:

The first step to solve this mathematical problem and find the correct answer is to calculate the cost of the sales tax and the tip by using the cost of the meal. The process is shown below:

1. Calculate the sales tax (7%)

7% of $65.92

65.92 / 100 = 0.6592

0.6592 x 7 = 4.6144 (Money on the sales tax)

2. Now, add the initial cost of the meal to the taxes and calculate the tip (20%)

$65.92 + $4.6144 = $70.5344

20% of $70.5344

70.5344 / 100 = 0.705344

0.705344 x 20 = 14.10688 (Money on tip)

Now, let's add the three values to calculate the total cost of the meal

$65.92 + $4.6144 + $14.10688 = $84.64128

Finally, divide the price into 4 because 4 people will pay

$84.64128 / 4 = $21.16032 which can be simplified as $21.16

The local sandwich shop manager is slicing deli meat for lunch. He needs to slice the same amount of pepperoni as
salami. He needs three times as many pounds of ham as he does pepperoni. He needs twice as much turkey as he
needs ham. If the manager slices 44 pounds of deli meat, complete the table to determine the number of pounds of
pepperoni and the number of pounds of turkey does he slices,

Pls hurry

Answers

Answer: i believe it would be option a.

Step-by-step explanation:

Karin owns a restaurant and has a monthly budget of x dollars. Every month $5,496 is
spent on supplies. One-third of the remaining budget is spent on employee salaries.
Which function can be used to find the amount in dollars spent on employee salaries?

Answers

Answer:

f(x)= x/3 - 5496

Step-by-step explanation:

does anyone know the answer to 4x+6x=9x

Answers

are you sure you wrote that the right way?
answer is x = 0
explanation shown in photo

Which of the following is true about the graph shown below?
A. The graph is not a function because it does not
start at (0,0).
B. The graph is a function because it passes the
vertical line test.
C. It is not a function because it is not linear.
D. It is a function because it has a constant rate of
change.

Answers

Answer:

B

Step-by-step explanation

A - the graph is a function and whether or not the graph starts at (0,0) does not say if it is a function

B - the graph is a function and the vertical line test does determine if a graph is a function

C the graph is a function and non-linear graphes can be functions

D - the graph is a function but the graph does not have a constant rate of change and a function can have a variable rate of change  

Antonio buys a bag of food for his cat, Tiger. The bag weighs 3.2 pounds and costs $3.84. How much does Tiger's cat food cost per pound?

Answers

Answer:

$1.20 per pound

Step-by-step explanation:

Take the Cost, or $3.84 divided by the weight, or 3.2 pounds, and you'll get 1.2, or $1.20 per pound.

What is the area of ▴PQR Below

Answers

The answer C. The slope is negative! See how if you start from the left top side the line is slanting down? That means the the slope is decreasing onwards to infinity. If it was positive (it’s not!) it would start from the right bottom side and go upwards.

hope this is helpful!

Please help:)
Find the median of x, 2x + 1, x/2 - 13, 45 and x + 22 if the mean of this set of numbers is 83.

Answers

Answer:

102.857

Step-by-step explanation:

First solve for x:

[tex]\frac{x + (2x + 1) + (x/2-13) + 45 + (x + 22)}{5} = 83[/tex]

x + (2x + 1) + (x/2 - 13) + 45 + (x + 22) = 83 × 5

x + 2x + 1 + x/2 - 13 + 45 + x + 22 = 415

(x + 2x + x/2) + (1 - 13 + 45 + 22) = 415

(7/2)x + 55 = 415

(7/2)x = 360

x = 720/7

Plug in the x values to the numbers:

x = 720/7 ≈ 102.8572x + 1 = 2(720/7) + 1 ≈ 206.714x/2 - 13 = (720/7)/2 - 13 ≈ 38.42945x + 22 ≈ 124.857

Order least to greatest:

38.429, 45, 102.857, 124.857, 206.714

Find the median:

102.857

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