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

J(-2,-2), K(-3,3), L(1,5), M(2,0)

Answers

Answer 1

9514 1404 393

Answer:

  J +L = K +M = (-1, 3)

Step-by-step explanation:

The figure JKLM is a parallelogram if the midpoints of the diagonals are the same point. That is, ...

  (J +L)/2 = (K +M)/2

Multiplying by 2 makes this a simpler test:

  J +L = K +M

In this quadrilateral, those sums are ...

  J +L = (-2, -2) +(1, 5) = (-2+1, -2+5) = (-1, 3)

  K +M = (-3, 3) +(2, 0) = (-3+2, 3+0) = (-1, 3)

The midpoints are the same, so the quadrilateral is a parallelogram.

Show That Each Quadrilateral With The Given Vertices Is A Parallelogram.J(-2,-2), K(-3,3), L(1,5), M(2,0)

Related Questions

11. UZ, VX, and TW are medians of Triangle TUV. If UZ = 21, find UY.​

Answers

Answer:

UY = 14

Step-by-step explanation:

The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex

In the given figure

∵ TUV is a triangle

UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U

UY: YZ = 2: 1

∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ UY × 1 = YZ × 2

UY = 2YZ

UZ = UY + YZ

∴ UZ = 2 + 1 = 3 parts

∵ UY = 2 parts

∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]

→ Multiply both sides by UZ

UY =  [tex]\frac{2}{3}[/tex] UZ

∵ UZ = 21

∴ UY =  [tex]\frac{2}{3}[/tex] (21)

UY = 14

What is the product?
[-3 4 2 -5] x [3 -2 1 0]

Answers

Answer:

Answer is C

Step-by-step explanation:

When you multiply the numbers you get the answer.

Answer:

The correct answer is A. I took the test.

A baker evenly divides 55 muffins into 9 boxes.
Each box contains
muffins and
muffins remain.

Answers

Answer:

each box has 6 muffins and 1 remains

hope this helps! :)

6 muffins in each box with one remaining

I really need answer or I’mma flunk uh oh

Answers

Answer:

0u

7u

6u

2u

Step-by-step explanation:

All of these question are just a matter of adding like terms

For the first one we have

7u+(-u)+(-6u)

which is equal to

7u-u-6u

Which I'm sure you can see is equal to 0 or 0u

10/2u+2u

10/2u=5u

5u+2u=7u

6u+0u

0u=0

6u

6u+(-4u)

6u-4u

2u

Answer:

easy pz hot eggs are cheesy, 1 is 0u number 2 is 7u number 3 is 6u and number 4 is 2u

Step-by-step explanation:

thank me

is it A B C or D o just need help with that ​

Answers

Answer:

B

Step-by-step explanation:

B I already did this! Hope it helps!

State the congruence relation for ABWO and
AIRO. Use only the markings in the diagram.
A. AAA
B
R
B. SSA
0
C. SAS
D. not necessarily
congruent

Answers

Answer:

Step-by-step explanation:

From the diagram, just the way it is marked, the two triangles are congruent by either SAS or ASA (although this requires an extra step).

Rereading the question, you are only allowed to use the markings given. So the answer is SAS

For the following system of equations, the value of x is______

The system of equation is x + 3y = 6
6x - 6y = 4


PLEASE HELP!!

Answers

x=6-3y then the other would be x=(4+6y)/6

Answer: x = 2, y = 4/2

Step-by-step explanation:

Solve the System of Equations

x + 3y = 6 6x − 6y = 4

Subtract 3y from both sides of the equation.

x = 6 − 3y 6x − 6y = 4

Replace all occurrences of x with 6 − 3y in each e quation.

Replace all occurrences of x in 6x − 6y = 4 with 6 − 3y.

6 (6 − 3y) − 6y = 4

x = 6 − 3y

Simplify 6 (6 − 3y) − 6y.

36 − 24y = 4

x = 6 − 3y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

−24y = −32

x = 6 − 3y

Divide each term by −24 and simplify.

y = 4/3

x = 6 − 3y

Replace all occurrences of y with 4/3 in each equation.

 

Replace all occurrences of y in x = 6 − 3y with 4/3

x = 6 − 3 ( 3 )

y= 4/3

Simplify 6 − 3 ( 4 )

x = 2  

y = 4/3

The solution to the system is the complete set of ordered pairs that are valid solutions.

(2, 4 /3 )

The result can be shown in multiple forms.

Point Form:  2, 4 /3

Equation Form:  x = 2, y = 3

Point A is located in which quadrant?
On a coordinate plane, point A is at (negative 3, 5).

Answers

Answer:

answer is D

the point A is located on quadrant IV

Step-by-step explanation:

hope this helps!

solve the inequality j + 6 < 9​

Answers

J < 3 hope this helps

Which phrase describes the algebraic expression n + 14?.

Answers

Isn’t it addition I’m guessing but I could be wrong

Reduce to simplest form.
-7/12 +3/8

Answers

Answer:

ok so you should get -5/24 in simplest form.

Decimal form- -0.2083 repeating

Step-by-step explanation:

Hope this helped :)

Perform the indicated operation. State the domain restrictions

Answers

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain has all values of x ( think X marks the spot on your domain) so the restrictions come in those cases from the fact that a fraction can NOT have the denominator 0 because dividing by 0 is not allowed.

5.

here x+1 [tex]\neq[/tex] 0 and x+3 [tex]\neq[/tex] 0 so the domain restrictions are x [tex]\neq[/tex] -1 and x[tex]\neq[/tex] -3

to solve you need to factor x^2 -6x-27

you can do it by using  

x^2 - Sx +P = 0 where S= root 1 +root 2 and P = root 1*root2

so in our case Sum has to be 6 and Product -27, what 2 numbers add to 6 and their product is -27? ....-3 and 9; S= -3+9 = 6 and P= -3*9 = -27

it will factor in (x-root 1) (x-root 2)  

x^2 -6x-27 = (x+3)(x-9)

[tex]\frac{(x+3)(x-9)}{x+1} * \frac{x+1}{x+3} =\\[/tex]

simplify x+1 and x+3

x-9

help please help. help help​

Answers

Answer:

Step-by-step explanation:

10 students participated in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz

Solution: Number of girls = x

Number of boys = y

x + y = 10 -------------------(I)

Number of girls is 4 more than the number of boys

x - y = 4 ----------------------(I)

  x =  4 + y

Substitute x = 4 +y in equation (I)

4+ y + y = 10

4  + 2y = 10

       2y = 10-4

       2y= 6

          y = 6/2

y = 3

Plug in y = 3 in eqution (I)

x + 3 = 10

        x = 10 - 3

x = 7

Number of girls = 7

Number of boys = 3

HELP ASAP BRAINLIEST IF UR RIGHT

If the measure of an exterior angle of a regular polygon is 24°, how many sides does the polygon have?
a. 15
b. 18
c. 14
d. 12
e. none of the above

Answers

answer A. 15 glad to help

1 1/2 - (5/6x + 1/3) = 8/9 Really urgent pls help

Answers

Answer:

x = 1/3

Step-by-step explanation:

Rewrite the mixed number 1 1/2 as 1 9/18.  The denominator here is 18, which is the smallest number divisible by 2, 6, 3 and 9.  Then we have:

1 9/18  -(15/18)x - 6/18 = 16/18

or:

27/18 -(15/18)x = 22/18

Clear this of fractions by multiplying all terms by 18:

27 - 15x = 22, or

5 = 15x, or

x = 5/15, or x = 1/3

The value of the equation x = 1/3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

1 1/2 - [ ( 5/6 )x + 1/3 ] = 8/9   be equation (1)

On simplifying the equation , we get

3/2 - ( 5/6 )x - 1/3 = 8/9

Adding (5/6)x on both sides of the equation , we get

( 5/6 )x + 8/9 = ( 7/6 )

Subtracting 8/9 on both sides of the equation , we get

( 5/6 )x = ( 7/6 ) - ( 8/9 )

( 5/6 )x = ( 63 - 48 ) / 54

Multiply by ( 6/5 ) on both sides of the equation , we get

x = ( 15/54 ) x ( 6/5 )

x = 3/9

x = 1/3

Hence , the value of the equation is x = 1/3

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Part 3 of i need these

Answers

Answer:

x=11

a=116°

b=29°

c=35°

hope is helpful

Suppose you have $344.25 and you spend $6.75 per day on lunch.

Part 1: Write an equation to represent the amount of money you have after, d, days of buying your lunch. Let A = the amount of money left in your account after d days. Explain why your equation makes sense. (What do any numbers in your equation mean?)

Part 2: How many days does it take for you to have no money left for lunch? Explain how you calculated this.

Remember that you must show all work and fully explain your thinking on the problem.

Answers

Answer:

Part 1: $344.25 -$6.75(d) = A

This equation I have made makes since because 344.25 represents the money I have now. If I were to spend 6.75 * d days, that would give me the total money left in my account after how many number days.

Part 2: $344.25/$6.75 = 51

It would take 51 days for me to have $0.00 in my account. I know this because I divided the total money I have in my account by how much I spend on lunch everyday. Knowing this, I know how many days it'd take for me to have $0.00

Step-by-step explanation:

A game room has a floor that is 350 feet by 40 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. What are the dimensions of the scale drawing? Enter your answer as length by width.

Answers

Answer:

70 by 8?

Step-by-step explanation:

lmk if its right lol..

6/7 + 6/14
it says your answer should be a whole​ number, fraction, or mixed​ number

Answers

Answer:

1 2/7

Step-by-step explanation:

i did the math :) ................


What is the radical form of the expression
2 3/4

Answers

this is the answer i didn’t know how to type the answer
Top comment is correct

Leah buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut butter cookies, 6 sugar cookies
and 4 oatmeal cookies. What is the probability that Leah randomly selects a chocolate chip cookie from the
bag, eats it, then randomly selects a sugar cookie? Express you answer as a reduced fraction.
Question Help: Video
Submit Question

Answers

She has a 6/22 chance so if yu reduce the fraction it should be 3/11

Which line is parallel with the line y = -4x + 2?
A. 4x + y = -5
B. -4x + y = 5
C. -x + 4y = 2
D. x + 4y = -2

Answers

The answer is:B because they can’t resolve easy

Solve for the variable.
1. 78 = x - 11

Answers

Answer:

x = 89

Step-by-step explanation:

78 = x - 11

add 11 to both sides of the equation

78 + 11 = x - 11 + 11

78 + 11 = x

89 = x

Answer:

x = 89

Step-by-step explanation:

78 = x - 11

+ 11 = +11 <— we add 11 since we are doing inverse operation

89 = x

11) Write an equation of the line that passes through the point (–7, –9) with slope –4.

A. y+7=−4(x+9)
B. y+9=4(x+7)
C. y+9=−4(x+7)
D. y+7=4(x+9)

Answers

Answer:

C

I am asian and a jedi master

The graph of cosine function has an amplitude of 4 and a period of 3x find an equation in the form of y=a cos bx

Answers

Answer: f(x) = 4*cos(x*2*pi/3)

Where I assumed that the period is 3, instead of 3x

Step-by-step explanation:

In a general equation like:

f(x) = a*cos(b*x)

a is the amplitude.

b is the angular frequency, which is equal to two pi times the inverse of the period.

In this case, we know that the amplitude is 4, then a = 4.

And the period is 3x (i guess that this is wrong because the period should not depend on the variable, as we will see later), then the frequency is:

b = 2*pi/3x

Replacing these in the equation we get:

f(x) = 4*cos(x*2*pi/3x) = 4*cos(2*pi/3)

Then we have no longer a dependence on x.

If the period is equal to 3, then the frequency will be:

b = 2*pi/3

Then the equation now is

f(x) = 4*cos(x*2*pi/3)

This is a cosine function, as we wanted.

A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
What does ac equal?? ^^

Answers

Answer:

C=0.55M+24.65

Step-by-step explanation:

0.40M+0.15M=0.55M

18.95+5.70=24.65

Plz help due tomorrow

Answers

Answer:

C.

Step-by-step explanation:

p/6+(q+8)

They are just adding not multiplying.

C is the answer they just changed the order of the numbers

like saying 3+4+5=5+4+3

please solve.
-7 = z over 2 + 1

Answers

Answer:

wdym by this I can solve it just type it properly or take a screenshot

Step-by-step explanation:

Can someone help with this?

Answers

Answer:

Its the second one

Step-by-step explanation

the reason why is because

<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.

How will you remember the slopes of the horizontal and vertical lines?

Answers

Answer:

The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

Step-by-step explanation:

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