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

Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator rationalized

Answers

Answer:

I would need to see the variables to answer this questions.

What method did you use? Why? Solve. for x: 47° 13​

Answers

Answer:

Step-by-step explanation:

Givens

You have the hypotenuse: 13

You seek the adjacent side: x

You have the angle enclosing the 2: 47 degrees.

The relationship is the Cosine

Solution

Cos(47) = opposite / hypotenuse

Cos(47) = 0.6820                            From your calculator

Cos(47) = x / 13                                Multiply both sides by 13

13*cos(47) = x

x=8.866

what is 13/50 as a decimal and percent​

Answers

decimal = 0.26

percent = 26%

what are some good editing apps i use alight motion and capcut

Answers

:))))))

Step-by-step explanation:

videochamp, picsart

Picsart , Inshot , Gandr , Photo lab and Viva video.

A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a length of 13 centimeters.



What is the area of the trapezoid?

Answers

Answer:

I couldn't see the picture it is black

Step-by-step explanation:

the formula for the area of a trapezoid is:

[tex]\frac{b1+b2}{2} h[/tex]

insert 7 for b1, 13 for b2, and 10 for h

[tex]\frac{7+13}{2} 10[/tex]

100

Hope that helps

The solution is, the area of the trapezoid is: 100cm^2.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

given that,

A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a length of 13 centimeters.

now, we know that,

the area of the trapezoid = 1/2 ( a+b)*h

so, substituting the values, we get,

the area of the trapezoid is:

= 1/2 (7+ 13) * 10

=10 * 10

=100

Hence, The solution is, the area of the trapezoid is: 100cm^2.

To learn more on Area click:

brainly.com/question/20693059

#SPJ3

PLEASE GRAPH THE ANSWER AND HAVE A PICTURE ATTACHED. I WILL REALLY APPRECIATE IT :)
-Also no links please...

Answers

Answer:

The first is (-1, 1) and the second is (2, -2)

Step-by-step explanation:

In a survey of 3203 adults, 1447 say they have started paying bills online in the last year. Construct a​ 99% confidence interval for the population proportion. Interpret the results. A​ 99% confidence interval for the population proportion is ??

Answers

Answer:

(0.4291, 0.4743)

Step-by-step explanation:

Using the relation :

p ± Zcritical * Sqrt[(p(1-p)) / n]

P = x / n =. 1447 / 3203 = 0.4517

1 - p = 0.5483

Zcritical at 99% = 2.575

Sqrt[(p(1-p)) / n] = sqrt(0.4517(0.5483)) / 3203) = 0.008793

p ± Zcritical * 0.008793

Lower boundary = 0.4517 - (2.575 * 0.008793) = 0.4291

Upper boundary = 0.4517 + (2.575 * 0.008793) = 0.4743

(0.4291, 0.4743)

Drag the operations signs to make the number sentence true. Use each operation sign once. +–×÷ 4 (3 2) 6 1 = 14

Answers

Answer:  its 4x(3+2)-6÷ 1=14

Step-by-step explanation: in the picture

Please tell me how to round 14,780

Answers

Answer:

for 100: 14,800

for 10: 14,780

for 1: 14,780

for 1000: 15,000

Step-by-step explanation:

ok so just go for like if its

18 its going to be 20 if its 11 its going to be 10

Hope this helps!!

PLEASE CROWN TYY

Answer:

Rounding Rules:

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

Step-by-step explanation:

100: 14,800

10: 14,780

1: 14,780

1000: 15,000

I need to know how much metal is needed to make the can

Answers

Answer:

we don't have any wasted metal and everything goes perfectly. In the real world, waste is inevitable.

800 jerseys 6 medium jerseys what percent of the jerseys is medium?

Answers

The percent of the jerseys :

6 : 800 = 0,75%

BRAINLIEST AND 50 POINTS UP FOR GRABS: PLEASE LEAVE DETAILED ANSWERS
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0).

Plot triangles PQR and P'Q'R' on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)

Answers

Answer:

Triangle P' Q' R' is half the size of the original triangle.

-The scale factor is probably 1/3.

Part B: P'(1, −2), Q'(0, 3), and R'(−1, 0).

Part C: No, the triangles are not congruent. If the second triangle didn't have a dilation, and instead have a reflection of the first triangle, then it would be congruent.

Step-by-step explanation:

:)

#1 someone help me with this question pls ??

Answers

Answer:

58-51

why to have the speed of a cucumber you need a potato on a skateboard at 1000kmh, ok?

Answer: 4 I think

on each side it has 4

Can you help me in this please No links or spams or bots or report​

Answers

Answer:

Monday - 7 hr 30 mins

Wednesday - 9 hr 30 mins

Friday - 7 hr

Saturay - 5 hr 30 mins

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

If you earn $12.40 per hour, first you must find how many hours you worked total - in this case, 29 hr and 30 mins.

So you would be making $359.60 per week.

The next question(s) are based on this scenario: A researcher randomly assigned boys and girls to each of two groups. One group watched a violent television program while the other group watched a nonviolent program. The children were then observed during a period of free play, and the incidence of aggressive behavior was recorded for each group. What is the independent variable in this study

Answers

Answer:

The type of television program viewed

Step-by-step explanation:

The Independent variable may be explained as those variables which determines the outcome or output of an experiment or analysis. The output is the dependent variable. Hence, the independent variable determines the predicted variable.

In the scenario described above, the type of television program viewed, either violent or nonviolent is the independent or predictor variable. This determines the level or incidence of aggressive behavior exhibited by the subject, this incidence of aggressive behavior is the dependent or predicted variable.

Given m
n, find the value of x and y.
(37-18)
(8x+12)
m
(2X+18)
n

Answers

Answer:

Step-by-step explanation:

The two inside angles will sum to 180°.

The top to angles are equal.  

Think about this as what if both of the parallel lines were intersected by a perpendicuar line.  Every angle would be a right triangle 90°.  The inside angles will sum to 180° and the opposite angles are again equal.

 (2x + 18) + (8x + 12) = 180

          10x +   30   =   180

                   10x    =   150

                      x  =  15

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

             (3y - 18)  =  (8x + 12)       x = 15

            (3y - 18)  =  (8(15) + 12)

            (3y - 18)  =  (120 + 12)

            (3y - 18)  =  132

                   3y   =   132 + 18

                   3y   =  150

                     y   =  50

Find the value of x.

Answers

Answer: 55

Step-by-step explanation:90-31= 59

59-4=55

12.75 x 2 plus 13 x 3 plus 13.25 x 4 plus 13.5 x 3 PLEASE HELPPP QWICKKKK

Answers

Answer:

158

Step-by-step explanation:

PLEASE HELP!!!
I’ll give 40 points!!!

Answers

Answer: c is the correct opcion

Which sentence is TRUE!!!!!!

Answers

The answer would be D

What is the measure of the other acute angle ?

Answers

Answer:

[tex]62^{o}[/tex]

Step-by-step explanation:

All the angles in a triangle add up to [tex]180^{o}[/tex]

Every right angle triangle has a right angle in it which is [tex]90^{o}[/tex]

So to find the remaining angle, you do [tex]180^{o}[/tex] - [tex]90^{o}[/tex] - [tex]28^{o}[/tex] = [tex]62^{o}[/tex]

Five more then six times a number is 17.what is the number

Answers

Answer:

2

Step-by-step explanation:

You set up and equation:

5+6x = 17

You solve it and get 2.

Step-by-step explanation:

17-5 = 12

A shelf is designed so it will fit in a 90º corner between two walls. The shelf has dimensions, rounded to the nearest tenth, as shown. A triangle has side lengths 11 centimeters, 11 centimeters, and hypotenuse of StartRoot 242 EndRoot centimeters. [Not drawn to scale] Will the shelf fit snugly in a 90º corner?

Answers

Answer:

Yes, it will fit snugly in a 90º corner

Step-by-step explanation:

To do this, we simply need to check if the given sides of the shelf is right-angled.

So, we have:

[tex]Hypotenuse = \sqrt{242[/tex]

[tex]Side\ 1 = Side\ 2 = 11[/tex]

To check for right-angle triangle, we make use of:

[tex]Side\ 1^2 + Side\ 2^2 = Hypotenuse^2[/tex]

This gives:

[tex]11^2 + 11^2 = \sqrt{242}^2[/tex]

[tex]121 + 121 = \sqrt{242}^2[/tex]

[tex]242 = \sqrt{242}^2[/tex]

[tex]242 = 242[/tex]

This shows that the given sides of the shelf is a right-angled triangle.

Hence, it will fit the wall

Answer:

A

Step-by-step explanation:

The illustration below shows the graph of yyy as a function of xxx.
Complete the following sentences based on the graph.
Initially, as xxx increases, yyy

.
Afterward, the slope of the graph of the function is equal to
for all xxx between x=3x=3x, equals, 3 and x=5x=5x, equals, 5.
The slope of the graph is equal to
for xxx between x=5x=5x, equals, 5 and x=9x=9x, equals, 9.
The greatest value of yyy is y=\:y=y, equals
, and it occurs when x=\:x=x, equals
.

Answers

answer in the picture

Answer:

The illustration below shows the graph of yyy as a function of xxx.

Complete the following sentences based on the graph.

Initially, as xxx increases, yyy

Step-by-step explanation:

The line graph shows the balance for a business on each day. How much more of a loss occurred on Friday than on Thursday?

A. $0
B. $2.50
C. $5
D. $10

Answers

Answer: this link will help you out

Step-by-step explanation:              https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/constructing-linear-models-real-world/v/word-problem-solving-4

tomen puntos
toy aburridoooo​

Answers

Answer:

aww thank you

pls mark brainliest

Step-by-step explanation:

Tyler and his friends wanted to watch a movie on opening night. They bought tickets online for $9 each. They paid an additional $5 handling fee for the order. The costs was more than $150. How many tickets could they have purchased?

Answers

Answer:

caca

Step-by-step explanation:

Can someone help me with this. Will Mark brainliest . Need answer and work/explanation. Thank you.

Answers

Answer:

Hope it helps...

Step-by-step explanation:

Leah works at an appliance store. She recorded her recent sales. washing machines 3 dishwashers 1 ovens 6 clothes dryers 5 What is the experimental probability that the next appliance Leah sells will be an oven? Write your answer as a fraction or whole number. P(oven)=​

Answers

Answer:

2/5

Step-by-step explanation:

Add up everything which would be 15, then put the number of ovens their was as the numerator. Then you'd have 6/15 so then just simplify!

What is the area of the triangle in square yards?

Answers

Answer:

DON'T LOOK AT THE PICTURE!!

Step-by-step explanation:

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