Find the perimeter P of ▱JKLM with vertices J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2). Round your answer to the nearest tenth, if necessary.

Answers

Answer 1

Given:

Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).

To find:

The perimeter P of a parallelogram JKLM.

Solution:

Distance formula:

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

Using distance formula, we get

[tex]JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}[/tex]

[tex]JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}[/tex]

[tex]JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}[/tex]

[tex]JK=\sqrt{4+9}[/tex]

[tex]JK=\sqrt{13}[/tex]

Similarly,

[tex]KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6[/tex]

[tex]LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}[/tex]

[tex]JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6[/tex]

Now, perimeter P of ▱JKLM is

[tex]P=JK+KL+LM+JM[/tex]

[tex]P=\sqrt{13}+6+\sqrt{13}+6[/tex]

[tex]P=2\sqrt{13}+12[/tex]

[tex]P=2(3.61)+12[/tex]

[tex]P=7.22+12[/tex]

[tex]P=19.22[/tex]

[tex]P\approx 19.2[/tex]

Therefore, the perimeter P of ▱JKLM is 19.2 units.


Related Questions

Chelsea and her friends ate 12 of 16 apples she purchased. What percent of apples did they eat?

Answers

The answer is 75% good luck ✔︎

Answer:

.75

Step-by-step explanation:

12/16 = 75/100

100/4 = 25

16/4 = 4

3 x 4 = 12

3 x 4 = 75

12/16 = 3/4

75/100 = 3/4

Hopefully this helps you

pls mark brainlest

how to find these answers?

Answers

Answer:

21.) 50°

22.) 135°

23.) 37°

24.) 100°

25.) 105°

26.) 60°

Step-by-step explanation:

Can someone do this please for me :(

Answers

The 1st question says that you should look clearly and it tells you what you need to learn. Use this information with all the other questions

what is an equivalent expression to 6(x-5)?

Answers

Answer:

6x-30

Step-by-step explanation:

you use distribution

Answer: 6x -30

Step-by-step explanation: Distribute the 6 to x and -5 to get 6x -30.

Suppose you have a sample of 35 children with antisocial tendencies and you are particularly interested in the emotion of surprise. You find that while the average 10 year old has a score of 13.10 on the emotion recognition scale, your sample of 10 year old children with antisocial tendencies has an average score of 14.35 with a standard deviation of 4.63. A higher score represents that it took a higher degree of emotional expression for the child to correctly identify the emotion of surprise, indicating greater difficulty recognizing the emotion. Assume that scores on the emotion recognition scale are normally distributed.
The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 10-year olds. Stated using symbols:_________________
(a). this is a ______
(b) tailed test. Given what you know, you will evalute this hypothesis using a _____
(c) statistic.In order to use the t distribution, you will first need to determine the degrees of freedom
(df) for alpha=.05. The degrees of freedom is: _____
(d). The critical value of t is:_____
(e) Calculate the t statistics. To do this, you will first have to calculate the estimated standard error. The estimated standard error is ____
(f). The t statistic is _____
(g). (Hint: for the most precise results, retain four significant figures from your calculation of the standard error to calculate the t statistic.)
The t statistic ______
(h) lie in the critical region. Therefore, you ____
(i) reject the null hypothesis.
Based on the results of this test, there ____
(j) enough evidence to conclude that children with antisocial tendencies have greater difficulty recognizing surprise than do children without antisocial tendencies:
Options for b: two- or one-
Options for c: z or t
Options for d: 33, 34, 35, 36
Options for e: .549, 2.032, 1.691, 1.645
Options for f: 0.38, 4.63, 0.78, 35
Options for g: 2.45, 1.60, 3.19, 3.30
Options for h: does not OR does
Options for i: cannot OR can
Options for j: is OR is not

Answers

Answer and explanation:

Please find explanation attached

Supplementary angles must share a common side. True or False

Answers

Answer:

I guess answer is true but not sure

Answer:

The answer is false. Complementary and supplementary angles DO NOT HAVE TO share a vertex or a side but they CAN be.

Question: Determine what the constant, coefficient, and variable are in the expression 7-25f.

Answers

Answer:

see below

Step-by-step explanation:

Given:

Binomial 7 - 25f

7 = constant, it is a number as a term25 = coefficient, it is a number which is multiplied by a letter (variable)f = variable, which is normally identified as a letter, it is degree one

Ms. bell has a 256 ounce bag of potting soil. what is the greatest number of 6 ounce pots she can completly fill with soil

Answers

Answer:

41 bags

Step-by-step explanation:

256 divided by 6 equals 42.6666667 but that is not a whole pot

Which is a solution for 4x+8 = 3x + 14?
O A. 2
OB.
c. 14/3
OD. 6
O E. 7

Answers

Answer: 6

Step-by-step explanation:

4x+8=3x+14

x+8=14

x=6

The solution of the given equation will be; X = 6

We know that the equation can be defined as an expression that shows the relationship between two or more numbers and variables.

WE are given the equation as;

4x+8 = 3x + 14

Now solving for x;

4x+8 = 3x + 14

Combine the like terms here;

x+8=14

Subtract 8 from right side

x=6

The value of x will be; x = 6

Learn more about equations here;

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Which quadrant is (-13, -12) located?

Answers

Answer:

Third quadrant

Step-by-step explanation:

Answer:

Quadrant III

Step-by-step explanation:

(-13, -12) is located in quadrant III because both the x values and y values are negative in the ordered pair, therefore they will be graphed on the part of the coordinate plane where the x and y values are also both negative simultaneously.

I included a photo so it is easier to visualize.

What is the simplified value of the expression below?
8(9.75-3.25)+ 12x4
100
O 152
256
O 347

Answers

Answer:

100

Step-by-step explanation:

=(8)(6.5)+(12)(4)

=52+(12)(4)

=52+48

=100

100 is the answer for the expression

Anika was shown a reduction of a complex figure.

2 complex figures. Side A corresponds to a side with length 35 centimeters. Side B corresponds to a side with length 25 centimeters. A side with length 15 centimeters corresponds to a side with length 60 centimeters.
Figures not drawn to scale.

What can Anika conclude about the scale factor and missing measurements? Select three options.
The scale factor is 0.60.
The scale factor is 0.25.
The length of side A is 8.75 cm.
The length of side A is 21 cm.
The length of side B is 6.25 cm.

Answers

Answer:

Scale factor is .25.

Step-by-step explanation:

Side A is .25 times 35 which is 8.75. Side b is .25 (25)= 6.25

Answer:

B: The scale factor is 0.25.

C: The length of side A is 8.75 cm.

E: The length of side B is 6.25 cm.

Step-by-step explanation:

To find the answer of 8.75 in C multiply 35 x .25

To find E multiply 25 by .25.

And the scale factor is .25 becuase the original is 1/4 the new perimeter.

How to do this operation (11+1) -6 x8 + 16

Answers

Answer:

-20

Explanation:

Follow PEMDASParentheses, Exponents, Multiply, Divide, Add, Subtract

(11 + 1) - 6 · 8 + 16

11 + 1 = 12

12 - 6 · 8 + 16

6 · 8 = 48

12 - 48 + 16

= -20

Evaluate –3^2+ (2 – 6)(10

Answers

-3^2 + (2-6)(10
9 + (-4)(10)
9 + (-40)
9 - 40
-31
Hope this is correct and that it helps :)

Subtract 10 from Thanh's age and double the result, and you get Xuyen's age. Xuyen is 22. How old is Thanh?

Answers

Answer:

let thanh age be x

Step-by-step explanation:

xuyen age= 22

therefore= (X-10)2=22

=2x-20=22

=2x=44

x=22

thanh age is 22

Using this linear inequality: 10C + 4 > 2C

Explain how to solve the inequality use both English and Math Sentences in your explanation, and how complete your explanation is.

Answers

Answer:

C > –½

Step-by-step explanation:

10C + 4 > 2C

The above inequality can be solved as follow:

10C + 4 > 2C

Collect like terms

4 > 2C – 10C

4 > – 8C

Divide both side by –8

Note: the inequality sign will change since we are dividing by a negative value.

4/ –8 < –8C/ –8

– ½ < C

Thus,

C > –½

All pictures are below please help Sandi had the following problem on her math test: . She showed her work on the test as follows: Given: Step 1: Step 2: Step 4: Step 5: In at least two paragraphs, explain the steps Sandi took to arrive at her answer. If she made any errors in her process clearly explain what she did wrong and how she could have made the error. If there is an error, provide the correct steps in your explanation of Sandi’s work. Use correct math terminology wherever appropriate.

Answers

Answer:

the answer is 6

Step-by-step explanation:

hope this helps!!!

Answer:

18

Step-by-step explanation:

6 × 4 + 2 ÷ 2 - 7

24 + 1 - 7

25 - 7

= 18

thanks

Which is the best estimate of (Negative three-fifths) (17 and StartFraction 5 over 6 EndFraction)?

Answers

Answer:

-9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

what is the place value of 5 in 7,832.951

Answers

answer: hundredths
explain: the 9 is in the tenths then the 5 is in the hundredths and the 1 is in the thousandths

Prove that Associative property does not hold true for 8 / 9 – ( 9 / 10 – 2 / 5 )

Answers

I think the answer above is correct

20. Two employees of a company have to file expense reports for their travel. The first had taken 7 trips with a mean trip cost of $750. The second took a total of 5 trips with a mean cost of $1200. The accounting department wants to determine the mean cost of all the trips that these two employees took. What is the mean cost of all 12 trips? Proposed Solution: Since we have two costs (one for each employee) we can find the mean cost of both employees by the following computation: (750 + 1200) / 2 = 975 What was done wrong in the proposed solution?

Answers

Since there are 7 trips with a mean cost 750 and 5 trips with mean cost 1200, the calculation should be [tex](7\times 750+5\times 1200) \div 12[/tex]

The calculation is as follows:

We know that

Mean cost =  Total cost ÷  total number of trips

Here, Total number of trips(observation ) =  7+5 = 12

Total cost = total cost of two employees

total cost of first employee = [tex]7\times 750[/tex]

And, total cost of second employee = [tex]5\times 1200[/tex]

So,

Mean cost of 12 trips = [tex](7\times 750+5\times 1200) \div 12[/tex] = 937.50

Learn more: https://brainly.com/question/6269728?referrer=searchResults

Find f(-3) if f(x) = x2.

Answers

Answer:

f(-3) = 9

Step-by-step explanation:

Step 1: Define

f(-3) = x = -3

f(x) = x²

Step 2: Substitute and Evaluate

f(-3) = (-3)²

f(-3) = 9

Simplify i12. 1 −1 −i i

Answers

Answer:

The answer for the first one is 1 and the second answer is 12i.

Step-by-step explanation:

The value of the given imaginary number i¹² will be 1 thus option (A) is correct.

What is a complex number?

A complex number is the sum of a real number and an imaginary number.

The idea of a complex number has come by solving a quadratic equation that has root as negative under root.

If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).

The value of iota(i) is given as i = √(-1).

By the law of indices,

i¹² = (i²)⁶

⇒ (-1)⁶

Since the even exponents of a negative number give positive output thus  (-1)⁶ = 1.

Thus, i¹² = 1

Hence "The value of the given imaginary number i¹² will be 1".

To learn more about complex numbers,

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What is the value of the expression below?
x/3+6=12

Answers

Answer:

x=108

Step-by-step explanation:

x/3+6=12        [tex]\frac{x}{3+6}=12[/tex]

1) 3+6=9

2) multiply both sides by 9

     9x/9=12*9   [tex]\frac{9x}{9}=12*9[/tex]

3) Simplify

     9x/9=x    [tex]\frac{9x}{9}=x[/tex] (9 cancels out)

     12*9=108

      x=108

h(n)= n2 + 2n; Find h(2)

Answers

Answer:

h(2)= 8

Step-by-step explanation:

h(2) = 2^2 +2(2)

4 + 4

h(2)=8

Find the length of each line segment or object

Answers

Answer:

1 ⁷/₈ in

Step-by-step explanation:

that is exactly 1 ⁷/₈ in

I NEED HELP ASAP. PLEASE HELP MEE!

Answers

Answer:

9,6

Step-by-step explanation:

Hopefully this helps you :)

pls mark brainlest ;)

Write each product as a power 6x6x6x6 if u help me youll get a cookie ^

Answers

Answer:

6⁴

Step-by-step explanation:

We see that we are multiply 4 6's together. That means we can simply just raise 6 to the 4th power as we are multiplying 6 x 6 x 6 x 6.

Hey there!

ANSWER: [tex]6^4[/tex]EXPLANATION:

[tex]6*6*6*6 \text { as a power}[/tex]

If you want to find this number to be written as a power, you will need to see how many times the number is being multiplied by 6.

[tex]6(1)*6(2)*6(3)*6(4)\\\text {It was multiplied 4 times}[/tex]

Since it was multiplied by 4 times, you will write it as:

[tex]6^4(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Can anyone help with this question
Which number is not in the solution set of X - 6 > 10?

A) 14
B) 17
C) 20
D) 23

Answers

Answer:

A) 14

Step-by-step explanation:

x - 6 > 10

Add 6 to both sides.

x > 16

The solution is all numbers greater than 16.

In the choices, only 14 is less than 16.

Answer: A) 14

Answer:

a

Step-by-step explanation:

x-6 [tex]>[/tex] 10

14-6 [tex]>[/tex]10

8 is less than 10

33. Find x
7 cm
15 cm
x

Answers

Answer:

 

(28√11 )

_______

15

Step-by-step explanation:

Answer:

x=13.2665 cm

Step-by-step explanation:

7²+x²=15²

49+x²=225

x²=225-49

x²=176

x=√176

x=13.2665

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