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

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

Answer:

UY = 14

Step-by-step explanation:

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

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

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

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

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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.

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

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.

Answer:

B

Step-by-step explanation:

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

Answer:

x=11

a=116°

b=29°

c=35°

hope is helpful

Answer:

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

Step-by-step explanation:

Answer:

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

Decimal form- -0.2083 repeating

Step-by-step explanation:

Hope this helped :)

Answer:

answer is D

the point A is located on quadrant IV

Step-by-step explanation:

hope this helps!

Answer:

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

Step-by-step explanation:

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:

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

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

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.

Answer:

70 by 8?

Step-by-step explanation:

lmk if its right lol..

Answer:

C=0.55M+24.65

Step-by-step explanation:

0.40M+0.15M=0.55M

18.95+5.70=24.65

Answer:

each box has 6 muffins and 1 remains

hope this helps! :)

Answer:

C

I am asian and a jedi master

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

Answer:

1 2/7

Step-by-step explanation:

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

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