Mathematics High School

Heya!
[tex] \underline{ \underline{ \text{question}}} : [/tex] In the adjoining figure , PQRS is a parallelogram and X , Y are points on the diagonal QS such that SX = QY. Prove that the quadrilateral PXRY is a parallelogram.


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Heya![tex] \underline{ \underline{ \text{question}}} : [/tex] In The Adjoining Figure , PQRS Is A Parallelogram

Answers

Answer 1

Answer:

See Below.

Step-by-step explanation:

We are given that PQRS is a parallelogram, where X and Y are points on the diagonal QS such that SX = QY.

And we want to prove that quadrilateral PXRY is a parallelogram.

Since PQRS is a parallelogram, its diagonals bisect each other. Let the center point be K. In other words:

[tex]SK=QK\text{ and } PK = RK[/tex]

SK is the sum of SX and XK. Likewise, QK is the sum of QY and YK:

[tex]SK=SX+XK\text{ and } QK=QY+YK[/tex]

Since SK = QK:

[tex]SX+XK=QY+YK[/tex]

And since we are given that SX = QY:

[tex]XK=YK[/tex]

So we now have:

[tex]XK=YK\text{ and } PK=RK[/tex]

Since XY bisects RP and RP bisects XY, PXRY is a parallelogram.

Related Questions

An amusement park sold 38 discount tickets and 12 full-price tickets. What percentage of the tickets sold were discount tickets?

Answers

76%

38+12 is 50
38 divided by 50 = 0.76 so
76% of tickets were discounted...

Which expression is equivalent to the expression shown below? --8x – 2(5 + 4x)​

Answers

-8x-2(5+4x)

Step-by-step explanation:

-8x-10-8x -8x-8x-10 -16x-10

I need help with this question please help.
Its gt geometry

Answers

Answer: First one is 140, second one is 70

Step-by-step explanation: They’re corresponding angles

A rectangle with area 36 square inches has a length that is 3 less than 3 times the width. Find the length and the width of the rectangle.

Answers

Answer:

length = 9 in ; width = 4 in

Step-by-step explanation:

1) formula of the area of a rectangle

A = base x width

2) write an equation with the given informations:

w x (3w-3) = 36

3) solve the equation

-  multiply W by 3w and -3

3w^2 -3w = 36

- divide the two members by 3

w^2 - w = 12

- add up -12 at the two members

w^2-w -12 = 12 -12

w^2 - w - 12 = 0

- find two numbers whose sum is -1 and whose product is -12 and factorise the equation

(w-4)(w+3) = 0

- find the two solutions

w-4 = 0

w = 4

w+3 = 0

w = -3

4)remember that a length can’t be negative.

w = 4 is the only solution

5) find the length

4x3 - 3 = 9

aye can someone help me i am confused??

Answers

Answer:

in the first one, the rule is y=2x+1

the second rule is y=x/2+1

sorry iont about the 3rd one

Step-by-step explanation:

.
Sadie buys milk and apples at the store.
She pays a total of $47.92.
She pays a total of $3.05 for the milk.
She buys 7 bags of apples that each cost the same amount.
How much does each bag of apples cost?

Answers

Answer:

$6.41

Step-by-step explanation:

47.92 - 3.05 = 44.87

44.87/7 = $6.41

help i hate fractions pls

Answers

Answer:

the answer is B

Step-by-step explanation:

because you just put 100 underneath

Answer:

B, 71/100

Step-by-step explanation:

To do this, just put each fraction into a calculator, and whichever fraction results in the decimal you're looking for will be your answer.

Work out 5/6 x 3/4
Give the answer as a fraction in its simplest form.​

Answers

Answer:

The answer is 5/8

Step-by-step explanation:

30 POINTS!!! HELP!!!!

Answers

I think its f(0) = 3
Thats the only one that sounds true but not sureee

John’s friend told him that he could earn $25 for handing out flyers at a local concert. John wants to calculate the hourly rate. If he works a total of 2 hours, the equation 2x=25 can be used to determine his hourly rate. What would John’s hourly rate be, in dollars?

A
$12.50

B
$23

C
$27

D
$50

Answers

Answer:

D

Step-by-step explanation:

anyone know this or can help pls

Answers

Answer:

A pyramid

Step-by-step explanation:

If u can now pls arigato

Answers

Answer:

1) A segment is a "part" of a line that is delimited by two points, such that it starts in a point and ends in another.

In segments the "endpoints" can commute, so is the same DA as AD.

In the image we can see 3 segments:

DA

AS

DS

2) A ray starts in a point and passes through another point, extending infinitely.

In this case, the ray DA is different than the ray AD, because the ray DA starts in D and extends to the right (because point A is at the right of point  D) infinitely.

And the ray AD starts in A and extends to the left infinitely (because point D is at the left of point A).

Also, because A and S are colinear, the rays:

ray DA = ray DS

Both of them start on D and extend infinitely to the right.

Then the rays we can see on this image are:

ray DA = ray DS

ray AS

ray SA = ray SD

ray AD.

4 rays in total.

3) The names of the segments are the ones we wrote in point 1.

DA

DS

AS

4) The segment that connects point D with point S is the segment DS.

5) The ray AS starts at A and goes to the right, then the one that goes toward the opposite of AS would be one that starts at A and goes to the left.

That one is the ray AD.

My Samsung charger broke so I went to Five Below to get a new one. They were on sale for $15,35 (not so five below). There
was a 6% tax too. How much did the new charger cost?
( I don’t need the explanation, only the right answer)

Answers

Answer:

The answer to your question is 16.27

Explanation:

You would start with the equation,

15.35 + 6% = C (Cost)

15.35 · 6% = 0.921

15.35 + 0.921 = 16.271

Round the one down, since it is less than four, and you get 16.27

Hope this helps.

waffletowne

Identify the figure, name the bases,faces,edges, and vertices


Answers

Answer:

It’s a square-based pyramid

base(1) is the square on the bottom- ABCD

Faces(4) are the triangles on the sides eg- AED, DEC, CEB, BCA

There are 8 edges, four being at the bottom around the base and the other four being alone the faces

Finally there are 5 vertices, four being at the corners of the base and the fifth being the tip of the pyramid

Step-by-step explanation:

Can I get help with number 16

Answers

Answer:

b

Step-by-step explanation:

Can some plz help me

Answers

Answer:

I think 60 s.sq m

Find the volume of the cylinder. Use 3.14 for T.

height of 5m radius of 15m

Answers

Answer:

739.47

Step-by-step explanation:

height - h, radius -r

V=hπ²r=5×3.14²×15=739.47

739.47 :))))))))))))))

Solve for x.

PLEASE ANSWER I WILL GIVE BRAINLIEST!!

Answers

Answer:

16 + 5 =21 21 is your answer

Step-by-step explanation:

What type of function will fit these data points?

Linear
Quadratic
Exponential
None of the above

Answers

Answer: quadratic

Step-by-step explanation:

I guess if you can search up a picture of each function, you will be able to understand it. A linear graph is linear (as its name suggests), as a result, it never "goes back" to the value that has showed up. For example, the linear function y=3x+2. If you plug in a random value of y (let's say 10), then solve for x, you will only get 1 value of x. The data table that you have indicates that the y value of 0 has appeared twice. Thus, the function cannot be linear. The same thing applies to an exponential function. A quadratic function, however, can have to x values that result in the same y value. For example, the function y = [tex]x^2[/tex]-1. When you set y equal to zero....

0 =  [tex]x^2[/tex]-1

0 = (x+1)(x-1)

x = -1 or 1.

Hope this helps :)

5. Andrea ate half as many crackers as Darnell. Darnell ate 3 more crackers than Ziyah. If Ziyah ate 21 crackers, how many did Andrea eat?

A. 24 crackers
B. 18 crackers
C. 10 crackers
D. 63 crackers
E 7 crackers
F. 12 crackers

Answers

12, if Darnell ate 3 more crackers then Ziyah, that’ll be 21+3 which is 24 and half of 24 is 12

A Store owners offers a discount of 20% off the regular price of all jackets. Jessica has a coupon that gives her an additional 5% off the discount price. The original price of jacket Jessica buys is $84. What is the price of the jacket after the discount and Jessica coupon?

Answers

Answer:

$63

Step-by-step explanation:

The store is 20% off, Jessica has a coupon that is 5% off add that together and it's 25% off. $84 - 25% = $63

Lisa can mow the lawn in 3 hours. If Rhianna helps her with another mower, the lawn can be mowed in 2 hours. How long would it take Rhianna if she worked alone? PLEAsE HELPPPP

Answers

Answer:

5 hours or 300 mins

Step-by-step explanation:

Sarah competes in a long jump competition.
Her first jump is 4.25 m.
I
Her best jump is 12% more than this.
However, her best jump is 15% lower than the winning jump.
Work out the length of the winning jump.

Answers

How to find Sarah’s best jump:
First you multiply 4.25 by 12% (or 0.12) to get 0.51 meters.
4.25 + 0.51 = 4.76 meters. So her best jump is 4.76 meters.
How to find the winning jump:
Since her best jump is 15% less than the winning jump, it must be 85% of the winning jump (as in 85 is 85% of 100).
So you divide 4.76 by 85% (or 0.85) which equals 5.6 meters.
So, the winning jump was 5.6 meters.

If you need help calculating percentages, you can use this website:

https://www.skillsyouneed.com/num/percent-calculators.html

Hope this helps!

Aidan bought a pizza cut into 5 slices. If he ate one slice for lunch, what percentage of the pizza remained uneaten?

Answers

Answer:

80%

Step-by-step explanation:

You started of with 5/5 once one slice was eat it became 4/5

you must then convert 4/5 into a percent

To convert a fraction to a percent, divide the numerator by the denominator. Then multiply the decimal by 100.

so 4 divided by 5 =0.8

0.8 x 100= 80

80%

Find the unit rate. Enter your answer as a mixed number.

A fertilizer covers 2/3 square foot in 1/4 hour.

The unit rate is
square feet per hour.

Answers

The answer to your question is 8/3 square feet per hour

what value of x makes the equation -2/3x + 3 1/3x - 1/2 = -1/3x + 5 1/2 true?

A) 2
B) 1/2
C) -2
D) -1/2

Answers

Answer:

2

Step-by-step explanation:

Find the value of x and y.

Answers

Answer:

Step-by-step explanation:

Which is the cosine ratio of ∠A?

ACB is right angle triangle. The length of AC is 28, the length of CB is 195, and the length of AB is 197.

A. 195197
B. 28197
C. 28195
D. 19528

Answers

Answer:

d . 19528

Step-by-step explanation:

maaf jika salah

Ms Carr made a mistake in her checkbook. she wrote a check for $8.98 to rent a video but mistakenly recoreded it in her checkbook as an $8.98 deposit on the blank slide represent each transaction with a rational number and explain the difference between the transactions

Answers

I don’t really understand the first part of the question but the difference between a deposit & withdraw is....
Deposit: Adding money to your account.
Withdraw: Taking money out of your account.

I hope this helps!(^_^)

2. If m arc VW - 62" and marc YZ -25°, then what is the
measure of

Answers

136.5
Add the two arcs to get 87. All circles have a circumference of 360. 360-87=273. The two angles are vertical angles so they are congruent and have the same number. 273/2 is 136.5
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