show that each quadrilateral with the given vertices is a parallelogram.

N(5,1), P(2,7), Q(6,9), R(9,3)

Answers

Answer 1

9514 1404 393

Explanation:

The quadrilateral is a parallelogram if the midpoints of its diagonals are the same point. That is, if ...

  (N +Q)/2 = (P +R)/2

Multiplying by 2, we can simplify the test to ...

  N +Q = P +R

  (5, 1) +(6, 9) = (2, 7) +(9, 3)

  (5+6, 1+9) = (2+9, 7+3)

  (11, 10) = (11, 10) . . . . . . . true ∴ NPQR is a parallelogram


Related Questions

Please help I’ll give brainliest if correct

Select the correct answer.
Consider these functions:
f(x)= 4x3 – 10
g(x) = 3x - 4 /2

What is the value of g(f(2))?
A. -6

B. 2

C. 19

D. 31

Answers

Answer:

The value of g(22) = 31

Hence, option D is correct.

Step-by-step explanation:

Given

f(x)= 4x³ – 10 g(x) = 3x - 4 /2

To determine

g(f(2)) = ?

To determine g(f(2)), first, we need to calculate f(2)

so substitute x = 2 in f(x)= 4x³ – 10

f(x)= 4x³ – 10

f(2) = 4(2)³ - 10

f(2) = 32 - 10

f(2) = 22

so

g(f(2)) = g(22)

now substitute x = 22 in g(x) = [3x - 4] / [2]

g(x) = [3x - 4] / [2]

g(22) =  [3(22) - 4] / [2]

g(22) = [66-4] / [2]

g(22) = [62] /  [2]

g(22) = 31

so

g(f(2)) = g(22) = 31

Therefore, the value of g(22) = 31

Hence, option D is correct.

Answer:

The correct answer is D. 31.

Step-by-step explanation:

I got it right on the Plato test.

help meeeee this are the last of my mf pointssssss

Answers

Answer:

y=0.6 x=3.6

dddddddddddddddddd

5. Which set of ordered pairs below represents a function? 31. {(1,1) (1,- 1) (4,2) (4, -2) (9,3)} b. {(3,4) (3,5) (3,6) (3,7) (3,8) } C. {(2,4) (3,4) (4,4, (5,4) (6,4)} d. {(1,2) (2,3) (3,4) (4,5) (4,6) }​

Answers

Answer:

C. {(2,4) (3,4) (4,4) (5,4) (6,4)} is a function.

Step-by-step explanation:

Since there is one value of  y  for every value of  x  in  {(2,4) (3,4) (4,4) (5,4) (6,4)}, this relation is a function.

Matthew drives at an average speed of 62mph for 5 hours how many miles does matthew drive?

Answers

Answer:

He drove 310 miles per hour

Step-by-step explanation:

So this means that in one hour he drives 62 miles

to find how much in five hours multiply 5 by 62

5x62=310miles

Answer:52

Step-by-step explanation:

Taylor purchased 9 pints of ice cream for a party. If each guest will be served exactly 1 2 2 1 ​ pint of ice cream, how many guests can Taylor serve?

Answers

Complete question :

Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve

Answer:

15 guests

Step-by-step explanation:

Given that:

Total pints of icecream = 9 1/2

Fraction of ice cream pints per guest = 3/5 pints

Number of guest that can be served :

Total pints / fraction per guest

9 1/2 ÷ 3/5

19/2 * 5/3

95 / 6

= 15.8 guest

Hence, greatest Number of guest that can be served = 15

In the accompanying diagram, ABC is a straight line. mLABD 8x, and m DBC = x + 27. Find x. ​

Answers

Answer:

The 2 angles are supplementary.  This means they have to add up to 180 degrees.  The first angle is 8x and the second is x+27.  So set both of them equal to 180.

8x + x + 27 = 180

9x = 153

x = 17

Angle 1 = 8(17) = 136

Angle 2 = (17) + 27 = 44

Check: Angle 1 + Angle 2 = 180

136 + 44 = 180

Step-by-step explanation:

sophie buy a guitar during the sale if the original price was $90.64 how much does sophie pay

Answers

Answer:

$67.98

Step-by-step explanation:

The discount was 25%, so you would need to multiply 90.64 and 0.25.

90.64*0.25= 22.66

However, that isn't your final answer because 22.66 is how much Sophie saved.

90.64-22.66= 67.98

Therefore, your answer would be $67.98.

Hope this helps :)

Answer:

45.54

Step-by-step explanation:

Help please this is urgent ​

Answers

Answer:

x°+5 x°+5

2xo

f(g(_1))=2xo

fred sold half of his comic books and then bought 8 more he now has 16 how many did begin with

Answers

He started with 16 because he sold half so add half and that would be 16 ;)

Answer:

16 I think

Step-by-step explanation:

If he now has 16 and he bought 8 you have to do 16-8 which is 8. He sold half and got to 8. Half of 16 is 8. (Sorry if that didn't make sense)

I hope this helped!

WILL MARK YOU BRAINLIEST

Answers

Answer: 3. 5 7/20,

Explanation: I took -3 2/5 and turned it into -17/5 and did the same with 8 3/4 which is 35/4. I gave them both the same denominator so I could add them together and it became -68/20 + 140/20 which equals 107/20

my head is empty for now, i rly can't with online classes

so anyone wanna help me?

Answers

Answer:

The Y intercept is (0,7)

Step-by-step explanation:

If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)

Brian invests £1900 into his bank account.
He receives 4.5% per year compound interest.
How much will Brian have after 7 years?

Answers

Answer:

£2585.64

Step-by-step explanation:

FV=PV(1+i)^t

Which means we have

1900(1+.045)^7

1900(1.045)^7

2585.64

13х - 7y + 4х
Please explain and awnser it’s for a test!

Answers

Answer:

17x-7y

Step-by-step explanation:

Im assuming you need to simplify it.

combine 13x and 4x

17x-7y

Katharine has a bag containing 20 dried beans. Eight of the beans are painted blue. If Katharine selects a bean from the bag at random, what is the probability that she will draw a bean that is NOT blue? Al out of 3 B 2 out of 5 C 3 out of 5 D 2 out of 3

Answers

Given:

Total number of beans = 20

Number of blue of beans = 8

One bean is selected from the bag at random.

To find:

The probability that she will draw a bean that is NOT blue.

Solution:

We have,

Total number of beans = 20

Number of blue of beans = 8

Number of non-blue beans = 20 - 8

                                              = 12

Now, the probability that she will draw a bean that is NOT blue is

[tex]P(\text{Bean is not blue})=\dfrac{\text{Number of non-blue beans}}{\text{Total number of beans}}[/tex]

[tex]P(\text{Bean is not blue})=\dfrac{12}{20}[/tex]

[tex]P(\text{Bean is not blue})=\dfrac{3}{5}[/tex]

Therefore, the correct option is C.

What is the value of cot840°

Answers

Answer:

cot 840° = [tex]\sqrt{3}[/tex]

Step-by-step explanation:

First, we must bring the value of 840° down to a value less than 90°.

To do that, we have to consider how many full rotations 840° is on the coordinate plane.

Start by dividing by 360°, since that is one full rotation.

840°/360°=2 R.120

So now we know that 840° is 120° extra, and therefore, the two calues will be equal.

So, cot840°, will be the same as cot120°

But now we need to make 120° a value less than 90°. So we can divide by 90°

120°/90°, and you get 1 R.30°

So now we also know that cot120° = cot 30°

Using your trigonometric table, we see that cot 30° = [tex]\sqrt{3}[/tex]

Hope this helped

Answer:

cot840=cot(180×5-60)=cot(-60)since cot is negative in second quadrant

cot(-60)=1/(tan(-30))=1/(-1/√3)=-√3

If Jan jogged 7x - 12 miles and Julie jogged 35x - 60miles , how many times longer was Julie's travel distance than Jan's?

Answers

Answer:

Julie jogged five times further than Jan.

Step-by-step explanation:

We can find this solution just by dividing Julie's distance by Jan's:

[tex]\frac{35x - 60}{ 7x - 12} \\\\= \frac{5(7x - 12)}{ 7x - 12} \\\\= 5[/tex]

So Julie jogged five times further.

I NEED HELP PLEASE HELP

Answers

Answer:

66.) 1.) M=-9/7

2.) Y-INTERCEPT (9)

3.) X-INTERCEPT (7).

Answer:

Step-by-step explanation:

I don’t really know, don’t answer falsely on my answer, I literally have a f^cking quiz

QS bisects <PQR. If m<PQS = 5x and m<RQS = 2x + 6, then what is m<PQR?​

Answers

Answer:

20 degrees

Step-by-step explanation:

If QS bisects Angle PQR, it would mean that Angle PQS and Angle RQS are equal

2x+6=5x

Subtract 2x on both sides

6=3x

Divide by 3 on both sides

x=2

Plug the value of x into either one of the angle measures equation

5x

5(2)=10

If they are equal to one another it would mean that the other angle would be the same measure and you would multiply it by 2

10(2)=20

Therefore 20 degrees is the answer for the measure of Angle PQR

Hope it helped :))

for what value of M is the equation an identity 4x^2-x+M=3x^2+x+2

Answers

Answer:

[tex]m=3x^{3} +2[/tex]

Step-by-step explanation:

[tex]4x^{2} -x+m=3x^{2} +x+2[/tex]

[tex]4x^{2} +m=3x^{2} +2x+2[/tex]

[tex]x^{2} +m=2x+2[/tex]

[tex]m=3x^{3} +2[/tex]

need help on this thanks

Answers

Answer:

8

Step-by-step explanation:

The answer is d Lol



Help
Me
Solve
This

Answers

Answer:

POG

Step-by-step explanation:

Answer:

Step-by-step explanation:

Nsjsjsjsms

Question 11
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Simplify the expression x^1/5 • x^5/2 Assume x > 0.
A) The answer can be written in the form x^a where
the exponent a is: Note: enter the exponent as a reduced fraction or integer.

B) The answer can be written in the form 1/x^b where the exponent b is:
Note: enter the exponent as a reduced fraction or integer.

Answers

Answer:

A. x^27/10

B. 1/x^-27/10

Step-by-step explanation:

Mathematically, if we have the same base, we simply add up the index

Thus, we have that;

x^1/5•x^5/2 = x^(1/5 + 5/2) = x^(2 + 25)/10 = x^27/10

A) In the first form, we have that;

x^27/10

a = 27/10

B) We simply negate what we have above in terms of the index according to the indices law below;

a^b = 1/a^-b

Hence, we have that;

1/x^-27/10

What is the domain of the given function?


{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}


{x | x = –4, –1, 3, 5, 6}

{y | y = –2, 0, 1, 4, 9}

{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}

{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9

Answers

Answer:

3,6,-1,5, and -4

Step-by-step explanation:

Domains is the X

Answer:

hi

Step-by-step explanation:hi

Find the value of x in the following figure ( Please hurry)

Answers

Answer:

x=9

Step-by-step explanation:

2x+12=5x-15

3x=27

x=9

Answer:

the value of X in the figure is 0 I think

Compare 9 * 10^4 to 3 * 10^2. (A) 9 * 10^4 is 3 times larger than 3 * 10^2 (B) 9 * 10^4 is 30 times larger than 3 * 10^2 (C) 9 * 10^4 is 300 times larger than 3 * 10^2 (D) 9 * 10^4 is 3000 times larger than 3 * 10^2

Answers

Answer:

9 * 10^4 is 300 times larger than 3 * 10^2

Step-by-step explanation:

Here, we want to compare the two figures and give the verdict on how big they are

as we can see, by squaring the second figure, we get the first

Mathematically, what we are saying is that;

(9 * 10^4) = (3 * 10^2)^2

So

basically, the difference between the two is to the tune of (3 * 10^2)

Hence we can conclude that the first number is 300 times bigger than the second number

Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor

Answers

Step-by-step explanation:

3x³ - 4x² - 28x - 16

= (x + 2)(Ax² + Bx + C)

= Ax³ + (2A + B)x² + (2B + C)x + 2C.

By Comparing Coefficients, we have:

A = 3,2A + B = -4,2B + C = -28,2C = -16.

Solving them will give A = 3, B = -10 and C = -8.

Hence 3x³ - 4x² - 28x - 16

= (x + 2)(3x² - 10x - 8)

= (x + 2)(3x + 2)(x - 4).

The answer is f(x) = (x + 2)(3x + 2)(x - 4).

i have 10 mins to turn this in... please help

Answers

found this on socratic !!! hope this helps !!!!

Answer:

No

Step-by-step explanation:

don' really have time to explain but i'll try later hope this helps

One newspaper reported that the mayor received a salary increase of 5%.Another paper reported that the mayor’s salary went up $2000. What was the mayor’s salary before the increase?

Answers

Answer:

$1900

Step-by-step explanation:

5% increase is $100 dollar

Answer:

Let

x= Mayor’s previous salary

y=his increased salary

5% increase means

(105/100)*x=y——-(1)

From the other reporter

The Mayor’s salary went up $2000

:. y-x=2000———-(2)

Put y= (105/100)*x into equation 2

105x/100 -x =2000

Multiply through by 100

105x-100x=200000

5x=200000

Divide both sides by 5

x=40000

Hence his previous salary was $40,000 and current one is

y=2000 +40000

y=$42000

Step-by-step explanation: from your question, you didn’t state whether it went up by 2000 or went to 2000. I chose went by 2000. If it were to be went to 2000 , the equation will be different. It would been 2000-x=y

12.5 rounded to the nearest tenth, (I’m checking my answers so just the number will do thank you)

Answers

Answer:

I think it's 13

Step-by-step explanation:

Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm
a) 11cm² b) 77cm²
c) 25cm² d) 56cm²​

Answers

Calculate the area of the full circle:

Area = PI x r^2

Area = 3.14 x 14^2  = 615.44 sq. cm

45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8

615.44 x 1/8 = 76.93, round to 77 cm^2

The answer is B. 77 cm^2

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