Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G (1,3) H (4,3) J (5,1) and K (2,1)

Answers

Answer 1

Answer: (3,2)

Step-by-step explanation: Diagonal is a line connecting two opposite points of a form. In parallelograms, there two diagonals and they bisect each other, i.e., the point where the diagonals meet divide them into two segments with the same measure. In short, diagonals meet at their midpoint.

The way to determine midpoint is given by

(x,y) = [tex]{\frac{x_{1}+x_{2}}{2} },\frac{y_{1}+y_{2}}{2}[/tex]

(x,y) = [tex]{\frac{1+5}{2} },\frac{3+1}{2}[/tex]

(x,y) = (3,2)

The coordinates where diagonals of parallelogram GHJK intersect are (3,2).


Related Questions

I need help please I would be happy

Answers

7384(x)748 (8967-888)

Answer: [tex](x,y) \to (4x,4y)[/tex] which is choice (3)

======================================================

Explanation:

The general transformation of [tex](x,y) \to (kx,ky)[/tex] describes a dilation with scale factor k. If k is not equal to 1, then the resulting image will not be the same size as the preimage.

In this case, k = 4. This means that the resulting image has its side lengths 4 times greater compared to the preimage side lengths. For example, if a side length is 5 units long in the preimage, then its corresponding length in the image is 5*4 = 20 units long.

If this is enlargement applied to all sides, then the perimeter also goes up by the same scale factor (since the perimeter is the sum of all exterior sides). The image perimeter will be four times that of the preimage perimeter.

In summary, if you apply a dilation (where k is not equal to 1), then the perimeter will change. If k > 1, then the perimeter gets larger. If 0 < k < 1, then the perimeter will shrink.

----------------------

Extra info:

Choice (1) describes a reflection over the line y = xChoice (2) is a reflection over the x axis.Choice (4) describes a translation of 2 units to the right and 5 units down.The transformations of reflections, translations, and rotations all are considered rigid transformations. This means that they keep the same size and shape. You can imagine the camera is moving around in some way and the shapes stay still (but give the illusion of movement). In other words, rigid transformations will keep the perimeter the same.  Because of this, we can rule out choices (1), (2) and (4).  

2x + 3 + 4x + 6 + 12x + 18 = 477

Please answer with solving steps. Thanks guys :)

Answers

Answer:

x= 25

Step-by-step explanation:

2x + 3 + 4x + 6 + 12x + 18 = 477

FIRST combine like terms

take all "x"

2+4+12= 18x

take all whole numbers

3+6+18= 27

18x+27= 477

now solve for x

-27 on both sides

18x= 450

÷18 on both sides

x= 25

yoi have to add the variables so 2x +4x+12x=18x and concombine like terms so 3 +6+18=27 so you have to put tbat together 18x+27=477 then you have to get x alone so you have to subtract 27 in both sides 27-27=0 then 477-27=450 then you have to do the oppsite of multiply so you have to divide 18x/18x and 450/18x 18÷18 is 1 so you just have to put x and then divide 450÷18=25 so x=25.

apples are on sale for 5 for $3, how much does one apple cost?

Answers

The cost of one apple is I think $1.68
You just do 3 divided by 5. $0.60

evaluate : ( -3/4 ) 2 pls and thank youu

Answers

Answer:-1.5

Step-by-step explanation:

First, -3/4 = -0.75

Second, -0.75 divided by 2 is -1.5

I don’t now how to do it please help

Answers

(20 x 20) + (1/2 x16 x 12) i think

HELP I NEED HELP ASAP

Answers

Answer:

D should be the anwser if i did my math correctly!

5. Hey what is n divided by 2

Answers

Answer:

[tex]\frac{n}{2}[/tex]

I think it’s n over 2 I don’t know

Suppose you deposited ​$100 in a savings account 4 years ago. The simple interest rate is 2.9%. The interest that you earned in those 4 years is ​$11.60. Which of the following​ is/are true?

A. t=4
B. p=2.9%
C. I=11.60
D. r=100

Answers

Answer:

T=4

l=11.60

Step-by-step explanation:

T is for time,and time given is 4.

so t=4 years

and Interest given is 11.60 bucks

so I=11.60

keep in mind that PRINCIPAL IS NEVER A PERFENTAGE!

RATE IS ALWAYS A PERCENTAGE!

Here, principal is 100 bucks and rate is 2.9%

also keep in mind that principal isnalways greater than interest.

thank you

Find the sum using fraction bars or a paper and pencil. Write your answer in simplest form. 5/6 + 3/9

₁ 1/6
21/18
8/15
₁ 4/9

The tiny numbers are the whole numbers
Help me asap please
⇔ω⇔
ФωФ

Answers

Answer:

8/15 bc im beautiful

Step-by-step explanation:

Answer:

imma need my points back

Step-by-step explanation:

The soccer club held a spaghetti dinner. They sold 39 child tickets for $3.75 each and 27 adult tickets for $5.95 each. The amount for 11 child tickets was refunded. Estimate the amount of income received by the soccer club.

Answers

Answer:

265.65

Step-by-step explanation:

(3.75*39)+(27*5.95)-(11*3.75) = 265.65

-6(3x + (-4y)) Simplify.

Answers

Answer:

−18x+24y

Step-by-step explanation:

sorry if its wrong

Determine the equation of the tangent to x− 3x +1 at the point (3,1)

Answers

9514 1404 393

Answer:

  y = 3x -8

Step-by-step explanation:

We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.

  y' = 2x -3

At x=3, the slope is ...

  y' = 2(3) -3 = 3

The equation of the line through point (3, 1) with a slope of 3 is ...

  y -1 = 3(x -3) . . . .  use the point-slope form of the equation for a line

  y = 3x -9 +1 . . . . . eliminate parentheses, add 1

  y = 3x -8

What is the percent change of 16 to 44.2?

Answers

176.25 is ur answer

Help asap!! (i’ll give u brainliest)

Answers

Answer: 3

Step-by-step explanation:

what is the common ratio between 63, 21, 7?

Answers

Answer:

3

Step-by-step explanation:

7*3=21

21*3=63

Hope this helps.

Answer:

decreasing by a multiple of 3

Step-by-step explanation:

7x3=21, 21x3=63.

I think this is the answer! or I hope this helps a bit. have a good day or night!

Saffron is one the most expensive spices in the world. Ms. Patel pays $123.51 for 2.3 grams of saffron. What is the price per gram?

Answers

Scroll down for answer!

Step-by-step explanation:

123.51/2.3 = 53.7

Two options = 53.7 or 53.1

A grocery store sells tangerines in 25 kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy?

1. Select all equations that represent the situation.


A 4⋅25=?

B ?⋅25=4

C 25÷4=?

D 4÷25=?

E ?÷25=4

Answers

Answer:

D) 4/25

But didn't he have to buy at least the whole 25 KG bag?

Step-by-step explanation:

What is the name of the angle pair for <2 and <4?
1
4
2.
Vertical Angles
O Corresponding Angles
Linear Pair
O Supplementary

Answers

Vertical angles. hope it helps.

Answer:

Vertical angles.

Step-by-step explanation:

Angles 4 and 2 have the same angle measure and angles 1 and 3 have the same angle measure. This happened because the lines intersected each other.

TRIANGLE CONGUENCE
I need help on a and b please ASAP if u can am failing math please help if u can

Answers

Step-by-step explanation:

John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *z decreased by 3 as an algebraic expression is *How many terms does the following expression contain? 2x + 5y - 5State the value of 9x - 3y if x=2 and y=3 *State the constant in the expression: ab + 5 - 2c *

Your answer

State the variable in the expression: 5p + 3 *Tanya is n years old today. How old will she be in 5 years?16 more than thrice m as an algebraic expression is *State the coefficient in the expression: 3x - 7 *

Your answer

State the value of ab if a=3 and b=5 *State the value of 9x - 3y if x=2 and y=3 *John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *Vertical jumpHead turning

Solve for x

[tex] {5}^{x} = 200[/tex]

Answers

The answer would be 40. 5 • 40 = 200

What is the surface area of the cylinder with height 4 m and radius 2 m? Round your answer to the nearest thousandth. ​

Answers

Answer:

         75.398 m²

Step-by-step explanation:

[tex]A=2\cdot\pi R^2+ 2\pi R\cdot H\\\\H=4\,m\\R=2\,m\\\\A=2\cdot\pi\cdot 2^2+2\pi \cdot2\cdot4=8\pi+16\pi=24\pi=75.398223....\approx75.398\ m^2[/tex]

Find profit percentage when S.P. of the article is Rs. 560 and C.P. is Rs. 500,with process ​

Answers

Answer:

first find the profit

profit % is the profit over CP times 100

Trista has 7/8 of a yard of ribbon to use for making decorative frames . If you frame used 5/6 of a yard of ribbon , then how much is remaining

Answers

Answer:

[tex]\dfrac{1}{24}\ \text{yard}[/tex]

Step-by-step explanation:

Amount of ribbon Trista had is [tex]\dfrac{7}{8}\ \text{yard}[/tex]

Amount of ribbon used in the frame [tex]\dfrac{5}{6}\ \text{yard}[/tex]

Amount of ribbon remaining is

[tex]\dfrac{7}{8}-\dfrac{5}{6}=\dfrac{21-20}{24}[/tex]

[tex]=\dfrac{1}{24}\ \text{yard}[/tex]

The amount of ribbon remaining is [tex]\dfrac{1}{24}\ \text{yard}[/tex].

where does 0.3 be placed in the Venn Diagram?

Answers

Answer:

fondo

Step-by-step explanation:

Answer:

in the middle of venn diagram

Step-by-step explanation:

Find the measure of angle b

Answers

Answer:

b = 116

we have:

b + 64⁰ = 180⁰

<=> b = 180⁰ - 64⁰

<=> b = 116⁰

Marsha made a wreath for her front door. The diameter of the wreath is 12 inches.


What is the circumference of the wreath?

Answers

31pie hope it helps not look

What is the answer to (a²)(a⁵)(a⁷)

Answers

Answer:

The answer would be a^70

Step-by-step explanation:

Hope this helped!! If it is wrong please tell me and I will re-check my answer. :)

Since there are parenthesis you just multiply the exponents and get A^70

Hope this helps

A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?

Answers

Answer:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Step-by-step explanation:

The equation of the ellipse with centre at origin and major axis along the x-axis is:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Answer:

[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]

Step-by-step explanation:

Independent Practice


In 2002, the price of mailing a letter was $.34 for the first ounce or part of an ounce and $.21 for each ounce or part of an ounce after the first ounce.


Write a rule to describe the function. How much did it cost to mail a 4-ounce letter?


A.
f(x) = 0.21(x – 1); $.63


B.
f(x) = 0.34 + 0.21x; $1.18


C.
f(x) = 0.34 + 0.21(x – 1); $.97


D.
f(x) = 0.34x + 0.21(x – 1); $1.99

Answers

Answer:

C.

f(x) = 0.34 + 0.21(x – 1); $.97

Step-by-step explanation:

In 2002, the price of mailing a letter was $.34 for the first ounce and $.21 for each ounce after the first ounce. Write a rule to describe the function.

---------------------------------------

 

Price = 0.34 + 0.21(x-1) where x is the weight of the item in ounces.

Let +x+ = weight of the letter in ounces

Let +P+ = the price of mailing the letter in dollars

---------------------------------------

+P+=+.34+%2B+.21%2A%28+x+-+1+%29+

( +x+%3E=+1+ )

 

-----------------------------

A 4-ounce letter costs

+P+=+.34+%2B++%28+4+-+1+%29%2A.21+

+P+=+.34+%2B+.63+

+P+=+.97+

It costs $.97

Michelle says that the solution to the inequality 2(4y-3) > -22 is y > -3.5.

what was her mistake. What is the solution to the inequality.

Answers

Answer:

The solution of the given inequality is y>-2.

Step-by-step explanation:

The given inequality is :

2(4y-3) > -22

Using distributive property on LHS of the above inequality.

8y-6 >-22

Add 6 both sides of the inequality

8y-6+6 >-22+6

8y>-16

y>-2

So, the value of y is more than -2.

Other Questions
At the end of the Declaration of Independence, what promise do the signersmake? 15 POINTS I need it ASAP !!! PLEASE PLEASE HELP THE OTHER BRAINLY ANSWERS WERE WRONG IM BEING TIMED A _____ organizes lots of information into tidy categories, but does not necessarily show a clear relationship among them.pie chartpictographtableline graphbar graph decorative technique seen on many garments of the bagobo where it uses multi colored beads accompanied by bells sequins and pompons Why does the crab and the centipede share the same phylum ? -3x-10=32Solve for X kiran's backpack weighs 3 pounds less than Claire's backpack.Claire's backpack weighs 14 pounds.how much does kiran's backpack weighs?select ALL that apply.x +3=143=14=14-3=143 how can you be a civic hero? whats something you can do this week or this month to be civically involved? callaos 1~ no digas esas tonteras 2~ahora estar durmiendo 3~deja el libro encima de la mesa4~debe de ser su hermano pequeo 5~que pase un buen da 6~cuantos regalos haz tenido!7~posiblemente llueva este fin de semana8~ojal haya llegado a tiempo! necesito saber a qu tipo de oraciones perteneceURGENTE!enunciativas interrogativas imperativas exclamativas desiderstivas negativas dubitativas 20 characterssssssss What is 15% of 700? Read the spelling pattern rule.To make a plural for a word ending in -sh or -ch, add -es.Which word does not follow this spelling pattern rule?churchescoachesburstsmarshs HelpDont use for points or Ill take it back How many molecules are in CaCO3 May you please help me? The Parthenon was ________. A a large statue of Apollo in Sparta B a famous temple dedicated to Athena C a school founded by Plato in Athens D the hill on which each city-state was built Cheese Pizza or Pepperoni Pizza The public the perimeter of the polygon is 24 in each side of the polygon is three inches long what is the name of the polygon What are the 3 parts of a complete sentence? Do you think that the budget alwaysreflects all of the needs of American citizens?