Plot J(-2,8), K(0,8), L(1,0), and M(1,-2) in a coordinate plane. Then determine whether JK and LM are congruent. A. Cannot be determined from the information given. O B. Cannot use Ruler Postulate for this problem. OC. JK and LM are congruent. D. JK and LM are not congruent.​

Answers

Answer 1

Answer:

C. JK and LM are congruent

Step-by-step explanation:

Given the coordinates J(-2,8), K(0,8), L(1,0), and M(1,-2), in other to determine whether JK is congruent to LM, we need to determine if the length of side JK and LM are equal i.e JK = LM

To get JK:

We will find the distance between the coordinates J(-2,8), K(0,8) to get the length JK using the formula:

JK =√(x2-x1)²+(y2-y1)²

JK = √(0-(-2))²+(8-8)²

JK = √2²+0²

JK = √4

JK = 2

For the length of LM with coordinate L(1,0), and M(1,-2)

LM = √(1-1)²+(-2-0)²

LM = √0²+(-2)²

LM = √0²+2²

LM = √0+4

LM =√4

LM = 2

Since JK = LM = 2 units, this means that JK and LM are congruent.


Related Questions

pls help pls help. ​

Answers

Answer:

D

Step-by-step explanation:

y=mx+b

y=2/3x +3

y = y coordinate

m = slope

x = x coordinate

b = y intercept

Answer:

D

Step-by-step explanation:

Hope this helps!!

im not sure how to do this please help​

Answers

Answer:

1+3=4

4+5=9

9+7=16

as we can observe that the we have to add the odd numbers in sequence

16+9=25

25+11=36

hope this helps you

❤ itz indian heart ❤
the next in the sequence is 25 and then 36

WILL GIVE BRAINLIEST
Prove that in a triangle the length of any altitude is smaller than the sides that are meeting at the altitude's vertex.

Answers

The proof here would be based on the use of the Pythagoras theorem in trigonometry.

How to prove that the length of the altitude are smaller

In a triangle getting the altitude or height will result to producing a right angled triangle. In trigonometry, a right angled triangle have the sides as the hypotenuse, the adjacent and the opposite. in this case the altitude is either the opposite or adjacent.

From Pythagoras Theorem, the hypotenuse. equals the square root of the sum of squares of the other two sides. hence is the longer side. Each leg of this triangle would be shorter than the hypotenuse. The two sides that meet at the vertex are the adjacent or the opposite and the hypotenuse.

Read more on right angle triangle here: https://brainly.com/question/1248322

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Answer:

this is so you can give brainliest

Step-by-step explanation:

1. Write the equation of a line parallel to y = -2x + 10 that passes through point (2, 4). ​

Answers

Answer:

y - 4= -2(x - 2)

Step-by-step explanation:

(This answer is in point slope form, if you need the answer in a different form like slope intercept, you would have to distribute the negative 2 and bring the negative 4 to the right side.)

So, you know the line is parallel to the equation y= -2x + 10. We know that parallel lines must have the same slope, so the answer will have a slope of negative 2. Because they have given you a point that the line passes through, we are going to put the answer in point slope form. we know a point and we know the slope, hence it is called point-slope.

Point slope form is y - y₁ = m(x - x₁). The m stands for the slope, and the x₁ and y₁ is where you will plug in the x and y coordinates (2,4) .

So to plug in the numbers into point slope form it would be y - 4 = -2 (x - 2). hope this helped :)

If a +5 = b + 3 and a + 5 = 12, then b +3=

Answers

Answer:

12

Step-by-step explanation:

The Transitive Property states that if one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity.

Using Transitive Property, it is found that b + 3 is equal to 12.

What is Transitive Property ?

The Transitive Property states that if one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity.

Given;

If a +5 = b + 3 and a + 5 = 12, then we need to find b +3=

So, a + 5 = 12

and a +5 = b + 3

Then b + 3 is also equal to 12. (Transitive Property )

Therefore, Using Transitive Property, it is found that b + 3 is equal to 12.

Learn more about Transitive Property ;

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Hans is using frequent flier miles to fly to a location 750 miles away, but the airline he is using still charges $20.19 for fees and taxes and $0.15 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.15x + $20.19 How much did Hans pay for his trip?

Answers

Answer:

Cost of the trip = $132.69

Step-by-step explanation:

Given:

Total distance = 750 mile

Fixed charge = $20.19

Variable charges = $0.15 per mile

Find:

Cost of the trip

Computation:

Y = $0.15x + $20.19

Y = $0.15(750) + $20.19

Y = $132.69

Cost of the trip = $132.69

There are 32 students in the school drill team performance. Each row of team members must have the same number of students. If there are at least 8 students in each row, what are all the possible arrangements?

Answers

Answer:

4 rows with 8 students in each

Step-by-step explanation:

4x8=32

Katherine invests $7770 in a six-month money market account giving 5.8% simple annual interest and $12,500 in a
three-year CD giving 7 25% simple annual interest. Assuming that Katherine does not reinvest or renew these
investments, how much money will she have when both investments reach maturity, to the nearest dollar?
$2,944
b. $15,219
$23,214
d. $30,886
a
С.

Answers

Answer:

Katherine will receive $23214 to the nearest dollar from both investments.

Step-by-step explanation:

Simple interest = Principal × Time × rate

Le's work out the interest Katherine earns from the two investments.

Money Market Account

Simple interest = 7770 × 5.8/100 × 6/12

= 7770 × 0.058 × 0.5 =  $225.33

So, the amount she gets at maturity is:

$7770 + $225.33= $7995.33

CD account

Simple interest = 12500 × 0.0725 × 3 = $2718.75

The amount she receives at the end of period is:

$12500 + $2718.75 = $15218.75

The total amount she receives from both investments at maturity is:

$15218.75 + $7995.33 = $23214.08

This to the nearest dollar is:

= $23214

Answer:

It's C on Edge

Step-by-step explanation:

Jessica prepared 36 kilograms of dough after working 6 hours. How much dough did Jessica prepare if she worked for 8 hours? Assume the relationship is directly proportional.

Answers

Answer:

48

Step-by-step explanation:

because 36 divided by 6 is 6 and that is how much dough she produces in an hour so if you added two more 6s to 6 to make it 8 meaning you are adding 12 because that is how much dough she makes in an hour

Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equation represents the situation, where t is the age of the car in years and r is the rate of depreciation. About how old is Devon's car? Use a calculator and round your answer to the nearest whole number.

Answers

Given :

Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%.

Its current value is $2,000.

To Find :

Age of car.

Solution :

Price of car after 1 year :

[tex]P_1=P_o(1-0.35)[/tex]

Price of car after 2 year :

[tex]P_2=P_1(1-0.35)\\\\P_2=[P_o(1-0.35)](1-0.35)\\\\P_2=P_o(1-0.35)^2[/tex]

So, price of car after n years.

[tex]P_n=P_o(1-0.35)^n[/tex]

[tex]2000=16000(1-0.35)^n\\\\0.65^n=0.125\\\\n\times log(0.56)=log(0.125)\\\\n=\dfrac{log(0.125)}{log(0.56)}\\\\n=3.58[/tex]

Therefore, age of car in nearest whole number is 4 years.

Hence, this is the required solution.

5(x + 3) – 7x = what

Answers

Answer:

−2x+15

5x+15+−7x

=5x+15+−7x

=(5x+−7x)+(15)

Answer:

8

Step-by-step explanation:

5 times 3= 15

add x to 15 to get 15x

15x-7x=8

Trinity collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did Trinity raise? If you get stuck, consider using the table.

Answers

Answer:

960

Step-by-step explanation:

5 divided by 123.5.
Show explanation, please.

Answers

Answer:

21.1

Step-by-step explanation:

5 goes into 12, 2 times

take leftover 2 and add to the 3

5 goes into 5, 1 time

5 goes into 5, 1 time

(8.59 × 104) – (3.2 × 103)

Answers

Answer:

563.76

here ya go

Answer:

563.76

Step-by-step explanation:

(8.59 x 104) - (3.2 x 103)

893.36 - 329.6

=563.76

How do u solve dis ladies and gentlemen?

Answers

Answer:

x is equal to 105

solved!, brainliest pls! would help a lot! ;)

Explanation:

This is easy! Forget about the other numbers only the 75° and the line it's on, only focus on that. Then a straight line is equal to 180° so...

180° - 75° = 105° haha woohoo

1. 30 inches to 24 inches
Find the percent of change and round to the nearest whole percent

Answers

Answer:

6

Step-by-step explanation:

subtract if that makes sense

What is the rate of change of the function represented by the table​

Answers

I believe this question is incomplete. I don’t see a table or image attached. Comment if you believe this is wrong and I will do my best to help you

A 355ml can of juice is leaking at a rate of 5ml per hour.A 325 ml drink is leaking at a rate of 2ml per hour.how long will it take for both cans to have the same amount of liquid?

Answers

Answer:

I think its 355 - 5x = 5x => x = 35.5 minutes

Step-by-step explanation:

hope this helps

help me please!!!!!​

Answers

Answer:

5/6 and 6/7

Step-by-step explanation:

Answer:

5/6 then 6/7

Step-by-step explanation:

Both the numerator and denominator are being increased by 1.

The top (numerator) is one less than the denominator in each term.

So  the answers are 5/6 and then 6/7.

PLEASE HELP ME! URGENT!!

Answers

Answer:

D. y=0.3(x+0.8)^2 -10

Step-by-step explanation:

When looking at the y-intercepts (the number at the very end of the equation) of the equations -10 is the one farthest away from the y-axis

Help me with the 11 and 12 please

Answers

Answer:

-1|-4             -2|4

1|2                0|3

Etc.             Etc.

I can't graph them though since I don't have paper

Help in this one please

Answers

We need more information

23 less than a number p

Answers

Answer:

can u express ur question

Step-by-step explanation:

23-p it doesn't make sense cause I write a number with=

The youth center needs to buy 50 tennis balls. They come in cans that hold 6 balls each. How many complete cans of tennis balls will they need to buy? Explain your thinking.

Answers

Answer:

9 complete cans

Step-by-step explanation:

50/6=8 remainder of 2

8 is not enough, they need 9                         o                                                                                          

A line PR, 3 cm long, is divided into equal segments. Point Q lies on the line such that the ratio of the length of PQ to that of PR is 4:9. What is the length of QR? Give the answer as a fractional value.

Answers

Answer:

8/3

Step-by-step explanation:

4:9

pq:pr

x:3

Cross multiply and make x subject of the formula

X=4/3

3-4/3=8/3

write four integers between -10 and 3​

Answers

Answer:

-4, -3, -2, -1

Step-by-step explanation:

all the integers between -10 and 3

-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2

Answer:

-9, -8, 2, 1

Step-by-step explanation:

Integers are whole number that can either be positive or negative.

27 = -4x + 11
I need it done ASAP

Answers

27=-4x+11

27-11= 16

16/-4= -4

x=-4

[tex]\text {Hello! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Flip the Equation}}[/tex]

[tex]\text {Before: 27=-4x+11}\\\text {After: -4x+11=27}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 11}}[/tex]

[tex]\text {-4x+11-11=27-11}[/tex]

[tex]\text {Your New Problem Is: -4x=16}[/tex]

[tex]\text {\underline {The Final Step Is to Divide -4}}[/tex]

[tex]\text {-4x/-4=16/-4}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {x=-4}[/tex]

[tex]\text {Best of Luck!}[/tex]


Josh makes $37.25 selling candy for his football team fundraiser. The team makes 1,000 times as much money in all than jush does by himself. How much
money does the team make?

Answers

Answer:

The team makes $37,250

Step-by-step explanation:

How many seconds did it take the paper airplane to reach the ground?

Answers

Answer:

46 seconds if I am correct.

Step-by-step explanation:

Which table could represent a function?
1. 1:4,2:2, 3:4, 2:6
2. 1:2, 2:4, 3:6, 4:2
3. 2:6, 0:4, 1:6, 2:2
4. 2:2, 3:2, 4:6, 3:6

Answers

The answer is the 2nd one

The table that represents a function is 1:2, 2:4, 3:6, 4:2.

Option 2 is the correct answer.

Given,

Function table:

1. 1 → 4,  2 → 2, 3 → 4,  2 → 6

2. 1 → 2, 2 → 4, 3 → 6, 4 → 2

3. 2 → 6, 0 → 4, 1 → 6, 2 → 2

4. 2 → 2, 3 → 2, 4 → 6, 3 → 6

We need to find which one is a function.

What is a function?

A function has an input and an output.

We can have different inputs and the same output.

Example:

f(x) = x²

x = 1, -1 are the inputs

f(1) = 1

f(-1) = 1

- We see that we have the same output 1 with different inputs 1 and -1.

i.e Many to one

- But we can not have the same inputs and different outputs.

i.e One to many

- We can have one-to-one in a given function.

We have,

1. 1 → 4,  2 → 2, 3 → 4,  2 → 6

Here,

2 → 2 and  2 → 6 = one to many.

We have the same inputs but different outputs which is not possible.

It is not a function.

2. 1 → 2, 2 → 4, 3 → 6, 4 → 2

Here,

1 → 2 and 4 → 2 =  many to one

2 → 4 and 3 → 6 = one to one

It is a function.

3. 2 → 6, 0 → 4, 1 → 6, 2 → 2

2 → 6 and 2 → 2 = one to many

This is not possible.

It is not a function.

4. 2 → 2, 3 → 2, 4 → 6, 3 → 6

3 → 2 and  3 → 6 = one to many

This is not possible.

It is not a function.

Thus the table that represents a function is 1:2, 2:4, 3:6, 4:2.

Option 2 is the correct answer.

Learn more about function here:

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