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

trigonometry please help! work need to be shown

Answers

Answer:

x = 5.56

Step-by-step explanation:

Apply trigonometric function to find x

Reference angle = 46°

Hypotenuse = 8

Adjacent length = x

Apply CAH:

Cos 46 = Adj/Hyp

Cos 46 = x/8

8 × Cos 46 = x

5.55726696 = x

x = 5.56 (nearest hundredth)

There are _______ kilometers in 5,000 centimeters.

Answers

There are 0.05 kilometers in 5000 centimeters

Translate the sentence into an inequality five substracted from the product of 8 and a number is at most 25 use the variable x for unknown number

Answers

Answer:

8x - 5  ≤ 25

Step-by-step explanation:

Given that the unknown number is x

product of 8 and a number is expressed as 8x

five substracted from the product of 8 and a number is expressed as 8x - 5

Since this expression is at most 25, the inequality sign that you are to use will be ≤ (less than or equal to) since it cannot be greater than 25. Hence the required inequality expression is 8x - 5  ≤ 25

HI I NEED HELP WITH THIS!!

Answers

Answer:

im pretty sure its 410 and 256

Step-by-step explanation:

2050/5=410 and 2050/8=256

i havent done this in a while so im not sure but hope it helps

i don’t understand how to answer this :)

Answers

Answer:

120°

Step-by-step explanation:

Answer:

I think it's a clockwise rotational symmetry from the centre of the circle.

principal = $200
interest rate = 4%
time = 2 years

Answers

Answer:

200÷0.4= the amount then times by 2

Step-by-step explanation:

i believe thats how that works

The sculpture consists of four identical prisms. Jane says the surface area of the sculpture is 4 times the surface area of one prism. Which statement about jane's method is true?

Answers

Options:

A.) Jane should multiply volumes, not areas.

B.) Jane should also subtract the areas of six hidden surfaces.

C.) Jane should also add the areas of six hidden surfaces.

D.) Jane is correct.

Answer:

B.) Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

When three-dimensional solids are joined together to form a solid, some surfaces will be visible while others won't.

When calculating the surface areas of such shapes, we only consider the visible parts (i.e. the areas of the hidden parts will be subtracted from the total areas of the individual shapes).

Since the sculpture is not attached to this question, we can assume that there are 6 hidden surfaces (as suggested by the options). The areas of these 6 hidden surfaces must be subtracted to get the actual surface area.

Answer:

Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

I just did it on Imagine Math

In the first quadrant, you start at (3,5)
and move 3 units right and 2 units down
What point will you end up on?

Answers

Answer:

(6,3)

Step-by-step explanation:

3 right is an + to the left side or x of the pairs and the 2 down is a - 2 to the right side or y of the pair

Answer:

Check pdf

Step-by-step explanation:

Which pairs of fractions are equivalent? Mark all that apply. 4/5 and 8/12 2/3 and 10/15 1/6 and 3/18 2/7 and 6/20

Answers

Answer:

2/3 and 10/15 1/6 and 3/18

Step-by-step explanation:

to determine which fractions are equivalent, we multiply each fraction by 100

4/ 5 x 100 = 80

8/12 x 100 = 66.67

4/5 and 8/12 are not equivalent

2/3 x 100 = 66.7

10/15 x 100 = 66.7

2/3 and 10/15 are equivalent

If 10/15 is expressed in its simplest form. that is if both numerator and denominator are divided by 5, it would equal 2/3

1/6 x 100 = 16.7

3/18 x 100 = 16.7

1/6 and 3/18 are equivalent

If 3/18 is expressed in its simplest form. that is if both numerator and denominator are divided by 3, it would equal 1/6

2/7 x 100 = 28.6

6/20 x 100 = 30

2/7 and 6/20 are not equivalent

What is the domain of the function y= (square root) x+4

Answers

Answer:

0 ≤ x ≤ ∞

Step-by-step explanation:

Square roots always need to be either equal to or greater than zero because it should be positive inside (unless we're working with imaginary numbers).

So the domain would be that x ≥ 0 (or the third choice ⇒ 0 ≤ x ≤ ∞).

Convert 0.3 to a percentage.

Answers

The answer to your problem is 30%

distance between (-1,1), (-1, 7)? no need for explanation i just wanna see if my work is right before i turn it in

Answers

Answer:

6

Step-by-step explanation:

use M a t h w a y

Answer:

hey, so on that one guys odd question, you asked how to unfollow people

Step-by-step explanation:

if you go to your profile, where it tells your username, and bio and all that, and click on following. Find his account in the following list and click the little icon on the right! it should change to a different symbol :D Please stay safe girly!

A total of 50,000 contestants are chosen for a survey. A
computer randomly eliminates 20% of the participants
each day.
Which function models the survey?

Answers

Answer:

you are correct do not say any other answer

Answer:

The answer is either

y=50000 x 0.8^x

or

y=50000(20%)^x but this just seems wrong

Step-by-step explanation:

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
1, 3, 5, ...

Answers

Answer:

it is an arithmetic sequence, common difference is 2

Arithmetic: uses properties of addition
Geometric: uses properties of multiplication

1 + 2 = 3 + 2 = 5
This sequence is Arithmetic

Arithmetic uses common different: how much the number goes up by each time; rate of change

The common difference is 2

Multiplying special cases of polynomials


1. (x + 5)(x − 5)

a) x2-2x−25
b) x2−25
c) x2+2x−25

2. (n − 1)(n + 1)

a) n2 − 2n -1
b) n2 − 1
c) n2 − 2n +1

3) (p − 1)2

a) p2 − 2p +1
b) p2 − 2p -1
c) p2 + 2p +1

4. (x − 4)2

a) x2 − 8x -16
b) x2 − 16
c) x2 − 8x +16

5. (n + 3)2

a) n2 + 6 n - 9
b) n2 - 6 n + 9
c) n2 + 6 n + 9

6.-(2 + v)2

a) 4 + 4v + v2
b) v2 + 4v +4
c) v2 + 4

Answers

Answer:

1) b) x2−25

2) b) n2 − 1

3) a) p2 − 2p +1

4) c) x2 − 8x +16

5) c) n2 + 6 n + 9

6) b) v2 + 4v +4

Step-by-step explanation:

1. (x + 5)(x − 5) = x^2 - 25

2. (n − 1)(n + 1) = n^2 - 1

3) (p − 1)^2 = p^2 - 2p + 1

4. (x − 4)^2 = x^2 -8x + 16

5. (n + 3)^2 = n^2 + 6n + 9

6. (2 + v)^2 = v^2 + 4v + 4

A car was purchased for $24,000. Its value is predicted to decay exponentially, decreasing by 13% each year. Write an equation to determine the value of the car.

Answers

Answer:

y= P(0.87)^t

Step-by-step explanation:

Given data

Price P=  $24,000

Rate of decay in price= 13%

The expression in terms of y, p and t  is

y=P(1-r)^t

y= P(1-0.13)t

y= P(0.87)^t

The five-number summary suggests that about 75% of salons in Janesville have fewer than how many stylists employed?

Answers

The 5 - number summary :

Min____ Q1 ___ median ____ Q3 ____ max

7 ______ 9 _____ 12 _______ 15 _____ 18

Answer:

Hence, from the 5 number summary, about 75% of sons have fewer than 15 stylist.

Step-by-step explanation:

Explaining the table :

Minimum number of stylist salons have = 7

Maximum number of stylist = 18

Q1 = first quartile, (25 /100) ;About 25% of salons have fewer Than 9 stylist

Q2 = second quartile or median ; About 50% of salons have fewer Than 12 stylist

Q3 gives the 75th percentile value.

Q3 = third quartile (75/100) ; About 75% of salons have fewer Than 15 stylist

Answer: 15 salons would be your answer

Step-by-step explanation:

khan academy said it was right

find the value of given expression

[tex] \sqrt{230 - 5} [/tex]

Answers

Answer:

i think it is 345 but not sure

Step-by-step explanation:

What percent of 71 is 27

Answers

38.03.

:)

Have a gud day
x% X 71 = 27
71x / 100 = 27
x = 2700 / 71
x = 38.028

Can someone help me please
I will give Brainiest
Don’t need to show work

Answers

Answer:

24

Step-by-step explanation:

Do tell me if you ever change your mind and want me to show work :)

Please help me on 4 and 5

Answers

Answer:

there is nothing there

Step-by-step explanation:

Answer:

what's the question ?

.

.

.

Which equations can be best solved with the square root method?
Select each correct answer.

Answers

Answer:

the first one and the last one

Step-by-step explanation:

Michelle delivers books to school libraries. her truck has a slide out ramp for unloading the books. the top of the ramp is 3 ft above the ground. the ramp itself is 5.2 ft long. what is the horizontal distance the ramp reaches

Answers

Answer:

4.2 ft

Step-by-step explanation:

We can assume that the truck is vertically straight, so this will make up the vertical side of the triangle.

This means that the triangle is a right triangle since a right angle will be formed with the ground and the 3 ft side.

Next, we have the ramp length which is 5.2 ft long. This will be the hypotenuse of the right triangle since the ramp is slanted.

We want to find the length of the horizontal leg of the right triangle, which will give us the horizontal distance the ramp reaches.

We can use the Pythagorean Theorem since this is a right triangle:

a² + b² = c² a and b are the legs, c is the hypotenuse

Substitute these values into the equation and solve for b.

(3)² + b² = (5.2)² 9 + b² = 27.04 b² = 18.04 b = 4.24735211632

The horizontal distance the ramp reaches is 4.2 ft, parallel to the ground.

Use the operation signs +,-, x, and ⌯ once each in the expression below to make the number sentence true. Why does your answer make sense? Use evidence to justify your answer. 6 ___ (3 ___ 1) ___ 5 ___ 1 = 17

Answers

Answer:

[tex]6 * (3 - 1) + 5 \div 1 = 17[/tex]

Step-by-step explanation:

Given

[tex]6\ [\ ]\ (\ 3\ [\ ]\ 1\ )\ [\ ]\ 5\ [\ ]\ 1\ =\ 17[/tex]

Required

Fill in the box with +,-, x, and ⌯ (once each)

This question is solved using trial by error approach.

After some tests, the solution that matches the equation is:

[tex]6 * (3 - 1) + 5 \div 1 = 17[/tex]

Sam bought an $85.00 jacket for 40% off of the regular price. How much did ge pay for the jacket?

Answers

Answer:

i think he payed 34 since 40 percent of 85 is 34.

Step-by-step explanation:

To find the discount price, multiply the original price ($85) by the discount ( 100-40=60): 85 x 0.6= $51 is what he paid.

+
deltamath.com/student/solve/13017914/trig Findside 1
watch help video
In ATUV, the measure of _V=90°, the measure of ZT=66°, and TU = 93 feet. Find
the length of VT to the nearest tenth of a foot.
U
93
660
T
V
X

Answers

Answer:

VT = 37.8 ft

Step-by-step explanation:

Here, we want to get the measure of VT

We need the diagram of the triangle here

We can get this in the attachment

From the diagram, we have it that the hypotenuse is the length UT since it faces the right angle

VT does not face the given angle , nor the right angle; this mean VT is the adjacent

Mathematically, the trigonometric ratio that connects the adjacent to the hypotenuse is the cosine

Thus;

cos 66 = VT/UT

cos 66 = VT/93

VT = 93 * cos 66

VT = 37.83

To the nearest tenth of a foot, VT = 37.8 ft

The scatter plot below shows the relationship between the latitude of cities and their average January temperature.
Which of the following is the best estimate of the average change in temperature associated with a 1-degree increase in latitude?

Choose 1 answer:

(Choice A)
-15 F
(Choice B)
−2.5 F
(Choice C)
2.5 F
(Choice D)
15 F

Answers

Choice A will be the correct answer !! Hope this helps

the part of it is c because of the quizz

Benjamin has enough icing to cover a 1/2-square-foot cake. He wants to use the icing to cover 2 equal-sized cakes. Which expression shows the size of each of two cakes that Benjamin can cover with the icing? A- 1/2 divided by 2 B- 2 divided by 1/2 C- 2 times 1/2 D- 1/2 divided by 1/2

Answers

Answer:

b

Step-by-step explanation:

To determine the size of each of the two cakes that can be covered with icing, he would divide the number of cakes by the amount of icing

2 ÷ [tex]\frac{1}{2}[/tex]

AABC is dilated by a factor of 4 to produce AA'B'C'.

What is A'C, the length of AC after the dilation? What is the measure of ZA?

Answers

Answer:

A

Step-by-step explanation:

because the sky is blue

The length of AC after dilation will be 20. Then the measure of the angle ∠A' will be 37°.

We have given that,

AABC is dilated by a factor of 4 to produce AA'B'C'.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The triangle ΔABC is dilated by a factor of 4 to produce the triangle ΔA'B'C'.

Then the length of AC after dilation. We have

A'C' = scale factor x AC

A'C' = 4 x 5

A'C' = 20

Then the measure of the angle ∠A' will be

There is no effect of dilation on the angle.

∠A = ∠A' = 37°

Thus, the correct option is A.

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ5

Felipe planted some seeds for a science project. One of his plants grew 6 1/2 inches in the first week, and then it grew 5 3/4 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible. *ill give brainliest*

Answers

Answer:

12 1/4

Step-by-step explanation:

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