On a coordinate plane, quadrilateral J K L M with diagonals is shown. Point J is at (4, 5), point K is at (5, 1), point L is at (1, 2), and point M is at (1, 5). Which statement proves that quadrilateral JKLM is a kite?

Answers

Answer 1

Answer:

[tex]LM = MJ = 3[/tex]

[tex]JK = KL = \sqrt{17[/tex]

Step-by-step explanation:

Given

[tex]J = (4,5)[/tex]

[tex]K = (5,1)[/tex]

[tex]L = (1,2)[/tex]

[tex]M = (1,5)[/tex]

Required

Prove it's a kite

Start by calculating the length of the sides of the kite using:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2}[/tex]

[tex]JK = \sqrt{(4 - 5)^2 + (5 -1)^2} = \sqrt{17}[/tex]

[tex]KL = \sqrt{(5 - 1)^2 + (1 -2)^2} = \sqrt{17}[/tex]

[tex]LM = \sqrt{(1 - 1)^2 + (2 -5)^2} = \sqrt{9} =3[/tex]

[tex]MJ = \sqrt{(1 - 4)^2 + (5 -5)^2} =\sqrt{9} = 3[/tex]

Hence:

[tex]LM = MJ = 3[/tex]

[tex]JK = KL = \sqrt{17[/tex]

proves that it is a kite

Answer 2

Answer:

B)  LM = JM = 3 and JK = LK = [tex]\sqrt{17}[/tex]

Step-by-step explanation:

Edge 2021

Good Luck :)


Related Questions

Which of the following equations has no solutions?
A) 2x – 6 = 2x + 8
B) 4x – 8 = 10
C) 5x + 20 = 5x + 20
D) 9x = 9

Answers

Answer: I did the math in my head and I think it’s B

Step-by-step explanation:

Your answer is A.
2x - 6 = 2x + 8
Just looking at this, it doesn’t make sense. Two times a number - 6 cannot equal two times the same number +8.

But solving it mathematically, we want to get the variables on one side of the equation, so we subtract 2x from both sides:
2x - 2x -6 = 8
Then add 6 to both sides:
2x - 2x = 14
0 = 14 is untrue.


The other options’ answers:

B: x = 4.5
4x - 8 = 10
4x = 18
x = 4.5

C: has an infinite number of solutions. Anything you plug into x on one side of the equation you will plug in on the other side. Both sides are identical.

D: x = 1

Please lmk if you have any questions.

0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?

Answers

Answer:

331776

Step-by-step explanation:

Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?

Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?

= 4? · 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288

Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912

We now find 3#

3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24

We now find 2#

2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 2# = 2?· 1? = 2 × 1 = 2

We now find 1#

1# = 1? · 1? = 1? · 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

And, 1# = 1? · 1? = 1 × 1 = 1

So,  4# · 3# · 2# · 1#? =  6912 · 24 · 2 · 1? = 331776

Identify the pattern for the following sequence. Find the next three terms in the sequence.

-1, 3, -9, 27, ____, ____, ____,...
a.
Multiply by 3; 81, 243, 729
b.
Multiply by -3; -81, 243, -729
c.
Multiply by -3; 81, 243, 729
d.
Multiply by 3; -81, -243, -729


Please select the best answer from the choices provided

A
B
C
D

Answers

B) multiply by (-3); -81, 243, -729

Answer:

b

Step-by-step explanation:

edge 2021


PLEASE HELP! What is the slope of the line that passes through (3,6) and (7,16)?

Answers

I believe the answer would be 2.5

PLEASE HELP ANSWER ME THIS!!!

Write a function for the indicated transformation.

the function y=5^(x-2) vertically stretched by the factor 3

the function y=7.2^x translated up 8 units

Answers

Answer:

ok mag lazada ka nalang te

What is the diameter of the Orange below ? HINT : D = 2r

Answers

Answer:

umm don't know.....

Step-by-step explanation:

......

plz help asap will give crown

Answers

Answer:

-18

Step-by-step explanation:

did the problem rn

Answer : It Is -18

Explanation : I Did It

BRAINLY POINT CHALLENGE PART TWO

Answers

Answer:

D. 12 by 12 inches

Step-by-step explanation:

36*36= 1296

100*44= 4400

50*22= 1100

none of these answers equal 144 except for 12*12

hope this helps <3

help meeeeeeeeee T^T

Answers

Answer:

C) 120

Step-by-step explanation:

Use three times five and minus one times

you will get 12 and multiply by 10

C. 120

or a faster way to solve these is just 150 (total # of students) and multiply by the percent in decimal form which in this case would be 0.80 (because percentage is out of 100, 80% is 80/100, which is 0.80 as a decimal)

150 • 0.8 = 120!!! :)

How do snakes get their energy in this food web? A) By consuming toads and mice B) By consuming deer and raccoons C) By consuming grass and deer D) None of the above

Answers

D none of the above

Write the expression as StartFraction a Over 90 EndFraction. Write the expression as 90 – a. Write the expression as a – 90. Substitute 102 in for the variable, a. Simplify by subtracting 90 from 102. Simplify by dividing 102 by 90. The answer is 1.13. The answer is 12.

Answers

Answer:

Write the expression as a – 90

Simplify by subtracting 90 from 102.

The answer is 12.

Step-by-step explanation:

Write and evaluate the expression. Then, check all that

apply

the difference of a number and ninety;

o Write the expression as

90

when a = 102

Subtraction Words

Write the expression as 90-a.

Write the expression as a -90,

O Substitute 102 in for the variable, a.

Simplify by subtracting 90 from 102.

Simplify by dividing 102 by 90.

decreased by

difference

fewer

The answer is 1.13.

less than

The answer is 12.

subtract

Let

The unknown number = a

The expression is

a - 90

Substitute a = 102

a - 90

= 102 - 90

= 12

The answer is - /C, D, E, H/

                        - /3, 4, 5, 8/

                        - "Write the expression as a – 90.",

                         "Substitute 102 in for the variable, a.",

                         "Simplify by subtracting 90 from 102.",

                         "The answer is 12."

                           I hope it makes sense, you're welcome!

The answers for it will give brainliest please answer in under 10 minutes

Answers

Answer:

I dont have spagetti

Step-by-step explanation:

Answer:

Step-by-step explanation:

PLEASE SOMEONE PLEASE HELP ME

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Supplementary angles

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

At a store each notebook has a cost of x dollars. Which situation can be represented
by this inequality?

5x < 3x + 2

Answers

Answer:

Step-by-step explanation:

Bro I lowkey need the answer to this. I’m doing a final exam atm.

Answer:

x<1

Step-by-step explanation:

:)

Find the vertex of the parabola whose equation is y = x^2 - 4x +6.
A. (-2, 18)
B. (2, 2)
C. (2,6)

Answers

Answer:

b . (2,2)

Step-by-step explanation:

Put problem in Desmos

Could someone please help me find the missing X? Thank you :))) only if you know.

Answers

Answer:

x = 18[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 27²

x² + 81 = 729 ( subtract 81 from both sides )

x² = 648 ( take the square root of both sides )

x = [tex]\sqrt{648}[/tex] = 18[tex]\sqrt{2}[/tex] ← exact value

x ≈ 25.5 ( to 1 dec. place )

pls answer this asap no wrong answers pls

Answers

Answer:

They have the same y-intercept of -6.

The intercept is the same -6

Mr. Tajpuriya paid Rs 6,780 for a television with a discount of 20% including 13% VAT.what is the marked price of the television?

Answers

Answer:

I'm not really sure about the marked price but you could choose between these

Step-by-step explanation:

6780×13=881.4

6780-881.4=R5898.6 (the price with out the VAT)

6780×20%=1356

6780-1356=R5424 (the price with out the discount)

6780-1356-881.4=R4542.6 (the price without the discount and VAT)

write a equation that represents 12 is 42% of the number x

Answers

Answer:

0.42x = 12

Step-by-step explanation:

12 is 42% of x

42% of x is 12

42% * x = 12

0.42x = 12

HELP WHATS THE CONSTANT OF PROPORTIONALITY
sodas: 2 3 4 5
cost: $2.50 $3.75 $5.00 $6.25

Answers

Answer:

its 1.25

Step-by-step explanation:

Eli makes a dozen cupcakes

he puts white frosting on 1/2 and chocolate frosting on the other 1/2

he puts sprinkles on 1/3 of the white frosted cupcakes and 1/2 of the chocolate frosted cupcakes

what fraction of the cupcakes have sprinkles?​

Answers

Answer:

5/12 I think?? Hope this helps!

3. The population of a city grows at a rate of 5% per
year. The population in 1990 was 400,000. In what year
will the population exceed 1,000,000?
(CED.1)
A. 2000
B. 2008
C. 2009
D. 2010

Answers

Answer:

the answer is B. 2008

Answer: b

Step-by-step explanation:

SOLVE FOR X

plz this is like the 5th time i ask, plz don’t respond with links

Answers

Answer: I used the Pythagorean theorem and got 6.24, but if I was supposed to use another method, just let me know.

The formula is a^2+b^2=c^2

a=5

c=8

b=?

5^2+b^2=8^2

25+b^2=64

b^2=39

b=6.24,

(If it doesn't work, put x=6.24, x=-6.24. It can be both technically, but most teachers ask only for the first one. )

Ms. Eckman will roll a single number cube. What is the probability that she will roll an even number?

Answers

Answer:

50 percent

Step-by-step explanation:

A house was bought for £1000000
It’s value appreciates by 7.5% each year for the first three years, what was its value at the end of the three years

Answers

Answer:

1240000 (3 sig. fig.)

Step-by-step explanation:

1000000x(1.075)^3 ~= 1242296.875 = 1240000 (3 sig. fig.)

Please help me simplify this expression!!

Answers

Answer:

[tex]w^{14}[/tex]

Step-by-step explanation:

[tex]\frac{1}{w^{11} } *w^{25}\\\\\\\frac{w^{25}}{w^{11}} \\\\w^{14}[/tex]

HELPPPP PLSSSSS!!! ILL GIVE BRAINLIEST IF ITS RIGHT

Answers

Answer:

752÷2= 376

52÷2÷ 26

376- 26= 350 adult tickets

376+26= 402 student tickets

What is this number rounded to the nearest whole number

Answers

Answer 9

The first value behind the decimal point is 0.
When rounding if the value is 0-4 then the value you are rounding to remains the same.
If the value is 5-9 then the value would round up.
However, because it is a 0 it remains a 9.

62c + 86 = 32

A. -1.90

B. -.87

C. .35

D. 4.63

Answers

Answer:B

62ç=32-86

62c=-54

C=0.87

DUE ASAP PLS
HELP

5. Find BC.
5. In Triangle ABC, angle A is a right angle and angle B= 60. If AB= 20 ft, find BC. If necessary, round your answer to the
nearest tenth.
A) 10ft
B) 40ft
C) 20 √ 3 ft
D) 40 √ 3/3 ft

Answers

I think it’s 40 foot
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