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.


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 x for which / || m

Answers

Answer:

Step-by-step explanation:

OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHAT TO DRAW

Answers

Answer:

Step-by-step explanation:

Answer:

13107 employees

A. The picture

B. 10,972 + 2,135 = n

13107 = n

Step-by-step explanation:

10,972 + 2,135 = 13107

What should be drawn is in the photo.

What is equivalent to 8?
A:2^3
B:3^-2
C:2^-3
D:3^2

Answers

2^3 is equivalent to 8.

Answer:   A:2^3

Step-by-step explanation:

8=2*2*2=(2)^3

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Answers

Answer: n=4

Step-by-step explanation:

Given

3n-(2+n)=6

Expand Parenthesis (REMEMBER TO CHANGE SIGNS)

3n-2-n=6

Combine like terms

2n-2=6

Add 2 on both sides

2n-2+2=6+2

2n=8

Divide both sides by 2

2n/2=8/2

n=4

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4

Step-by-step explanation:

4 Is the Answer because you have to multiply 4 to all the N's. Which means you have to multiply 4 by 3 which equals 12. Then 2+4=6. Then you would do 12-6=6. There's your answer. Here is the equation if it were like the problem: 12 - (2+4). I'm sure you can figure out the rest. Thanks. If you find any fault in my answer let me know! Have a good day!

i need to find the area and circumference for each circle

Answers

Answer:

Step-by-step explanation:

5

Pls help, answer righhand I’ll mark brainly and you big smart!

Answers

Answer:

A. and C.

Step-by-step explanation:

Just remember that to find the roots, use the equation:

(-b +/- sqrt[b^2 - 4ac])/2a

I would appreciate Brainliest, but no worries.

Hang was trying to factor 10x^2 + 5x she found that the greatest common factor of these terms was 5x and made an area model what is the width of the area model

Answers

Width of Heng's area model is  2x + 1

Step-by-step explanation:

Given:

Greatest common factor is 5x

To Find:

The width = ?

Solution:

let the  be the area

And  5x be the length

Then area  = length  x  width

Now rewriting the formula for width, we get

Width =  

Substituting the values in the above formula

Width =

Width = 2x + 1

Which inequality is true if p = 3.4 ?

Answers

Answer:

the shape isnt angled thats what it means

Step-by-step explanation:

Quadratic Functions
Determine the value of y, if x is −9. y=x^2+8

Answers

Answer:nn

Step-by-step explanationn    o:

Answer:

y = 89

Step-by-step explanation:

x = -9

y = x^2 + 8

y = (-9)^2 + 8

y = 81 + 8

y = 89

What is the range of the function f = [0,00) + R, defined by the rule f(t) = -247 (a) (0,1) (c) R (b) (0,11 (d) (0,00)

Answers

The range of the function f = [0,00) + R, defined by the rule f(t) = -247 is {-247}. The correct option is d.

The range of a function is the set of all possible outputs or y-values. Here, the function is f(t) = -247 with the domain [0,00), which means that for any value of t between 0 and 00 (excluding 00), the function will always give the same output, -247. This is because the rule for the function is simply -247, and doesn't depend on the input value of t.

The range of the function f is simply {-247}, which is a singleton set containing only one element (-247). In other words, the only possible output or y-value for this function is -247, and there are no other possible values for f(t) for any value of t between 0 and 00 (excluding 00).

Thus, the correct option is d.

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The integrat (cos(x - 3) dx is transformed into L' (t)dt by applying an appropriate change of variable, then g(t) i g(t) = 1/2 cos (t-3/2) This option g(t) = 1/2 sin(t-3/2)

Answers

The integrat (cos(x - 3) dx is transformed into L' (t)dt an g(t) = 1/2 sin(t-3/2) is incorrect. The correct option g(t) = 1/2 cos(t-3/2).

To transform the integral ∫cos(x - 3)dx into L'(t)dt using an appropriate change of variable, the substitution method make the substitution:

t = x - 3

To find dt, differentiate both sides of the equation with respect to x:

dt = dx

substitute these expressions into the integral:

∫cos(x - 3)dx = ∫cos(t)dt

The integral has been transformed into ∫cos(t)dt.

regarding the options for g(t),

Option 1: g(t) = 1/2 cos(t-3/2)

Taking the derivative of g(t) with respect to t,

g'(t) = -(1/2)sin(t - 3/2)

Option 2: g(t) = 1/2 sin(t-3/2)

Taking the derivative of g(t) with respect to t,

g'(t) = (1/2)cos(t - 3/2)

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The scores on the Wechsler Adult Intelligence Scale are approximately Normal, with 100 and 11. The proportion of adults with scores above 110 is closest to 0.25 b.0.33. c0.14. 4.0.18 Colleges often rely heavily on raising money for an "annual fund" to support operations. Alumni are typically solicited for donations to the annual fund. Studies suggest that the graduate's smal income is a good predicar of the amount of money he or she would be willing to donate, and there is a reasonably strong, positive, linear relationship between these variables. In the stadies described a annual income is an explanatory variable. b the correlation between annual income and the size of the donation is positive. c the size of the donation to the annual fund is the response variable. d. All of the answer options are correct.

Answers

The proportion of adults with scores above 110 is 0.1841.

Here, we have,

It should be noted that from the information illustrated, Wechsler Adult Intelligence Scale scores are approximately Normal, with a mean of 100 and a standard deviation of 11.

The formula to use will be:

P(a < Z < b) = P(Z < b) – P(Z < a)

a = lower value

b = higher value

Z = z value

It should be noted that the proportion of adults with scores above 110 will be:

= P(x > 110)

= P(z > 110 - 100/11)

= P(z > 0.90)

= 1 - 0.8159

= 0.1841

Therefore, this illustrates those that has scores of more than 110.

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During the summer John collected cans to recycle. In August he collected 718 cans bringing his total to 2,275 cans. How many cans did John collect before August?

Answers

Answer: 1557 cans

Step-by-step explanation:

Since we are informed that John collected 718 cans in August bringing his total number of cans to 2,275 cans, the number of cans that John collected before August will be:

= Total number of cans collected - Number of cans collected in August

= 2275 - 718

= 1557 cans

Arthur wrote that 15 – 14.7 = 3.

Use the drop-down menus to explain why 3 is incorrect.

Answers

the point is supposed to be in front of the three

.3

Answer:

the answer is 0.3

Step-by-step explanation:

I hoped this helped

A rectangular prism with a length of 5 inches a width of 4 inches and a height of 3 inches is how many square inches

Answers

Answer:

20

Step-by-step explanation:

length x width = area

4 x 5 = 20

(not 100% sure, but I hope this helps)

the Median.)
Find quartile 2 using the data below:
23, 45, 52, 28, 42, 87, 56, 32, 48, 55, 24, 63, 68, 76, 67

Answers

Answer:

52

Step-by-step explanation:

if you put the numbers in order from least to greatest you'll see that 52 is in the middle

PLEASE HELP!! I DON'T UNDERSTAND!!!!! I WILL MARK!!!!

Answers

Answer:

2

Step-by-step explanation:

first use order of operations.

1/2(4^2)-6

1/2*16-6

then simplify to get:

8-6=2

Answer: 2

Step-by-step explanation:

The question is asking you to substitute the b with 4 and find the solution to the expression.

[tex]\frac{1}{2}b^{2} -6[/tex]

[tex]=\frac{1}{2}(4)^{2} -6[/tex]

[tex]=\frac{1}{2}(16) -6[/tex] (PEMDAS so you do the exponent first)

[tex]=8 -6[/tex] (PEMDAS so you do the multiplication first)

[tex]=2[/tex]

Drag and drop all methods of showing Triangle Similarity or Triangle Congruence into the appropriate box. SAS, SSS, ASA, AAS, CPOCTAC, HL, AA
Similar Triangle Justifications Congruent Triangle Justifications​

Answers

Answer:

hi

Step-by-step explanation:

by

6(x-2)=-18 what does x=

Answers

Answer:

x = -1

Step by step explanation:

Distribute 6

6x-12= -18

Add 12 to both sides

6x= -6

Divide both sides by 6

x= -1

Hope this helps

Sami cut 6 and three fourth inches off a long roll of paper if the row 36 and one third inches long how long was the original roll of papers

Answers

Answer:

43 1 ÷12

Step-by-step explanation:

The computation of the length of the original roll of papers is shown below:

36 1 ÷3 and 6 3 ÷ 4 together

Now convert the above fractions into a number

36 1 ÷ 3 = 109 ÷3

And,

6 3 ÷4 = 27 ÷ 4

Now add these two numbers i.e.

109 ÷3  + 27 ÷ 4

= 436 + 81 ÷ 12

= 517 ÷12

= 43 1 ÷12

How would I put this?

Answers

Answer:

10.35

Step-by-step explanation:

63,756 x 60 = 3825360

70 x 5,280 = 369600

3825360 ÷ 369600 = 10.35

10.35 because 63756 times 60= 3825360 and 5280 times 70= 369600 and 3825360 divided by 369600= 10.35

This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128

Answers

Answer:

Each number is 2 to the power some integers.

Step-by-step explanation:

The pattern is 4,8,16,32,64,128.

It follows the exponent of 2.

4=2*2 =[tex]2^{2}[/tex]

8=2*2*2=[tex]2^{3}[/tex]

16= [tex]2^{4}[/tex]

32 =[tex]2^{5}[/tex]

64=[tex]2^{6}[/tex]

128 =[tex]2^{7}[/tex]

so, it is 2 to the power integers.

someone help please!! oh and pls don’t put any links

Answers

Answer:

10 visits

Step-by-step explanation:

So first let's make an equation, 7.74x + 8.93= 86.33. When you solve for x you get 10.

The cost to place an ad in a weekly paper is $5.50 per line,i.The print set-up fee is $7.50.

Answers

Answer:

whats the question?

Step-by-step explanation:

the temperature is -2c if the temputure rises to 15c , what is the new temputure

Answers

Answer:

13c

Step-by-step explanation:

-2 + 12 = 13

Software can generate samples from (almost) exactly Normal distributions.
Here is a random sample of size 5 from the Normal distribution with mean 10 and standard deviation 2:

6.47 7.51 10.10 13.63 9.91

These data match the conditions for a z test better than real data will: the population is very close to Normal and has known standard deviation s = 2, and the population mean is µ = 10.
Test the hypotheses

H0 : µ = 8
Ha : µ ? 8
In Exercise 15.41 (given above), a sample from a Normal population with mean µ = 10 and standard deviation s = 2 failed to reject the null hypothesis H0 : µ = 8 at the a = 0.05 significance level.
Enter the information from this example into the Power of a Test applet.
(Don't forget that the alternative hypothesis is two-sided.)
What is the power of the test against the alternative µ = 10?

Answers

The power of the test against the alternative µ = 10 is 1.

Given: A sample from a Normal population with mean µ = 10 and standard deviation s = 2 failed to reject the null hypothesis

H0: µ = 8 at the a = 0.05 significance level.

To find :

The power of the test against the alternative µ = 10.

Step 1: We have

H0 : µ = 8

Ha: µ ≠ 8α

= 0.05

Sample size n = 5

Population Standard deviation s = 2

Population means µ = 10

The alternative hypothesis is two-sided.

Hence α/2 = 0.025.

Using a normal table, the critical values for a two-tailed test at the 0.05 level of significance are -1.96 and +1.96 respectively.

Step 2: We know that

[tex]\[z=\frac{\overline{x}-\mu }{\frac{s}{\sqrt[]{n}}}\][/tex]

where [tex]\[\overline{x}\][/tex] = sample mean,

µ = Population mean,

s = Population Standard deviation and

n = sample size.

By using the given data, z can be calculated as below:

[tex]\[z=\frac{10-8}{\frac{2}{\sqrt[]{5}}}[/tex]

=[tex]4.47[/tex]

The value of z falls in the critical region if it is less than -1.96 or greater than +1.96.

Since 4.47 is greater than +1.96, the null hypothesis is rejected.

Since the null hypothesis is rejected, it is logical to expect that the power of the test will be high.

Hence, the power of the test against the alternative µ = 10 is 1 (100%).

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John is 30 years old. He will receive two payments of $2500 each. The first payment will be an unknown number of years in the future. The second payment will be five years after the first payment. At an annual effective interest rate of I=5%, the present value of the two payments is $2606. Determine at what age John will receive the second payment.

Answers

Answer:

16 years

Step-by-step explanation:

Let us assume that he would received the first payment after t years

So

The following formula should be used

PV = P ÷ (1 + r)^t + P ÷ (1 + r)^t+5

$2,606 = $2,500 ÷ (1 + 0.05)^t + $2,500 ÷ (1 + 0.05)^t + 5

$2,606 = $2,500 ÷ 1.05^t (1 + 1 ÷ (1.05)^5)

1.05^t = $2,500 ÷ $2,606 (1.7835) = 1.71098

t = ln(1.71098) ÷ ln(1.05)

= 11

Therefore he would be received the second payment after

= 11 + 5

= 16 years

A: x>106

B: x<106

C: x=106


Which one is it?

Answers

Answer:

x is equal to 106

Step-by-step explanation:

when x is on the opposite side of 2 intersecting lines, it will be the same angle as the angle opposite to it

Cari’s Bakery, Inc., began operations in October. The owner contributed cash of $14,400 and a delivery truck with fair value of $19,200 to the company.

Which of the following describes how these transactions would affect the company’s equity accounts?

A) Increase contributed capital by $33,600

B) Increase earned capital by $33,600

C) Increase contributed capital by $14,400 and earned capital by $19,200

D) Increase earned capital by $14,400 and contributed capital by $19,200

E) None of these are correct.

Answers

The transaction would affect the company's equity accounts by increasing contributed capital by $14,400 and earned capital by $19,200. The correct answer is option C.

Equity accounts are a component of the balance sheet that represents the net worth of a business. The equity accounts include contributed capital and earned capital. Contributed capital, also referred to as paid-in capital, is the value of cash or other assets contributed to a company by investors in exchange for shares of ownership in the company. Contributed capital represents the long-term financial interests of owners in the business.

Earned capital is the amount of money that a business earns through its operations. It is also referred to as retained earnings. The difference between a business's assets and liabilities is its equity. It represents the total value of the assets that a company owns after all liabilities have been settled. According to the question, the owner contributed cash of $14,400 and a delivery truck with a fair value of $19,200 to the company. This transaction will increase contributed capital by $14,400 (the cash contribution) and increase earned capital by $19,200 (the delivery truck contribution).Therefore, option C: Increase contributed capital by $14,400 and earned capital by $19,200 is the correct answer.

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solve the problem. determine if the lower bound theorem identifies -4 as a lower bound for the real zeros of f(x). f (x) = 3x3 2x2 - 9x 4 select one: a. yes b. no

Answers

The correct answer is: a. yes. To determine if the lower bound theorem identifies -4 as a lower bound we need to analyze the behavior of the function as x approaches negative infinity.

The lower bound theorem states that if a polynomial function has a negative leading coefficient (in this case, 3), then any lower bound M must have the property that f(M) is either negative or zero.

Let's evaluate f(-4) to see if it is negative or zero: f(-4) = 3(-4)^3 + 2(-4)^2 - 9(-4) + 4= 3(-64) + 2(16) + 36 + 4= -192 + 32 + 36 + 4= -120. Since f(-4) = -120 is negative, the lower bound theorem identifies -4 as a lower bound for the real zeros of f(x).Therefore, the correct answer is: a. yes

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