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Given:

The three vertices of parallelogram are (0,6),(5,-4),(-1,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Consider the given vertices of parallelogram are A(0,6), B(5,-4), C(-1,-5).

Let the fourth vertex be D(a,b).

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

We know that the diagonal of parallelogram bisect each other. It means their midpoints are same.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{0+(-1)}{2},\dfrac{6+(-5)}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)[/tex]

[tex]\left(\dfrac{-1}{2},\dfrac{1}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{5+a}{2}=-\dfrac{1}{2}[/tex]

[tex]5+a=-1[/tex]

[tex]a=-1-5[/tex]

[tex]a=-6[/tex]

And,

[tex]\dfrac{-4+b}{2}=\dfrac{1}{2}[/tex]

[tex]-4+b=1[/tex]

[tex]b=1+4[/tex]

[tex]b=5[/tex]

Therefore, the coordinates of fourth vertex are (-6,5).

Answer:

0 votes

Answer:27000Step-by-step explanation:interest= principal×rate×time÷ 100=270000×5×2÷100=27000

Answer:

0.95

Step-by-step explanation:

A depreciation of 5% from the original 100% is

100% - 5% = 95% = [tex]\frac{95}{100}[/tex] = 0.95

Answer:

Step-by-step explanation:

Answer:5

′

 ATGGCTAACGT 3

′

Step-by-step explanation:

The question is asking if the following pairing is accurate

3

′

TACCGATTGCA

5

′

3

′

 TACCGATTGCA 5

′

3, prime, start text, space, T, A, C, C, G, A, T, T, G, C, A, space, end text, 5, prime

5

′

ATGGCTAACGT

3

′

5

′

 ATGGCTAACGT 3

′

5, prime, start text, space, A, T, G, G, C, T, A, A, C, G, T, space, end text, 3, prime

Each nucleotide is appropriately paired according to the A-T/C-G pairing rules, so these are complementary strands.

Answer:

m=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-4x + 7 = 2y - 3

7 = 2y - 3 + 4x

0 = 2y - 3 + 4x - 7

-2y = -3 + 4x - 7

-2y = 4x - 10

y = -2x + 5

As the slope of the line is equal to the value of x, the slope of this line is -2

Answer:

the answer for both of them is x=4/5y-4

Step-by-step explanation:

Step 1: Add 8y to both sides.

10x−8y+8y=−40+8y

10x=8y−40

Step 2: Divide both sides by 10.

10x/10=8y−40/10

x=4/5y−4

Answer:

x=4/5y−4

hope this helped :)

Respuesta:

12 m / s

Explicación paso a paso:

Dado :

Frecuencia de onda = 60 Hz

Longitud de onda = 0,2 m

La velocidad de propagación de la onda viene dada por:

Velocidad = frecuencia * longitud de onda

Velocidad de propagación de la onda = 60 * 0,2

Velocidad de propagación de la onda = 12 m / s

Answer:

5÷ 21 = 0.23809523809

Answer:

Step-by-step explanation:

B, i

Answer:

length:5

width:2

Hight:2

value:20

Step-by-step explanation:

The volume is 29 because length×width×hight=value so 5×2×2=20

Answer: (-5,0)  will be your answer hope this helps

Step-by-step explanation:

Answer:

The answer is "[tex]\bold{\frac{135}{32}}[/tex]".

Step-by-step explanation:

[tex]Volume= length \times width \times height\\\\\to 1\frac{1}{4}= \frac{5}{4}\\\\\to 1\frac{1}{2}=\frac{3}{2}\\\\\to 2\frac{1}{4}=\frac{9}{4}\\\\\to Volume= \frac{5}{4} \times \frac{3}{2}\times \frac{9}{4} = \frac{135}{32}[/tex]

Answer:

multiply the distance by 0.7

Answer:

Divide it by 10, multiply it by 7

Example:

Find 7/10ths of 20

20/10 = 2

2x7=14

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

length[l]=[tex] \frac{5}{3} cm[/tex]

breadth [b]=[tex] \frac{3}{2} cm[/tex]

height[h]=[tex] \frac{4}{5} cm[/tex]

now

volume of cuboid=l×b×h=[tex] \frac{5}{3} \times \frac{3}{2} \times \frac{4}{5} [/tex]

=2cm³is your answer.

Step-by-step explanation:

hope it is helpful to you

Answer:

B

Step-by-step explanation:

because a doesnt make since it never said they were males

Answer:

9/25

Step-by-step explanation:

Our box contains 10 socks. (6, which are black and 4 which are red)

Probability of picking 1 black sock will be 6/10

Number of ways it can occur / Total number of outcomes.

In this question we pick two socks, one black firstly and another black, in the second turn. When we say AND, it means intersection

P (B₁ ∩ B₂) = 6/10 . 6/10

When the events are independent, the probability of the intersection will be the product of the probabilities,

P (B₁ ∩ B₂) = 36/100 = 9/25

9514 1404 393

Answer:

  A

Step-by-step explanation:

If x is the side length of the regular pentagon, the perimeter is the sum of its 5 side lengths: 5x. To find the side length, we can use the formula that sets this equal to the known perimeter:

  5x = 47 1/2 . . . . . . mismatch with statement A

Statement A is false.

Answer:

B

Step-by-step explanation:

0.075 l+

0.200 l

=0.275 l

Answer:

B.)

Step-by-step explanation:

I took the test

Answer:

x = 3

y = -1

Step-by-step explanation:

please mark this answer as brainlest

Answer:

14.9cm

Step-by-step explanation:

hope it helps you good day.

Answer:

15u + 141 = 420

Step-by-step explanation:

So basically we are modelling how much the coach is spending. Each player is given a uniform and a basketball

We can use 'u' as the cost of a single uniform

We can use 'b' as the cost of a single basketball

Since there is 15 players we must give a ball and uniform to each so

15u + 15b = 420

The problem gives us the cost of each basketball: 9.40

so now 15u + 15(9.4) = 420

15u + 141 = 420

Answer:

wish that will help u

Answer:

It decreased 60%

Step-by-step explanation:

TO figure this out we must first find 1% of 60

60/100 = .6

Now we find the difference between 60 and 24

60 - 24 = 36

Now that we know how much it decreased we must now find out what percent 36 is of 60.

.6 x 60 = 36

So 36 out of 60 is 60%

So it decreased 60%

(っ◔◡◔)っ ♥ Hope It Helps ♥

Please Consider giving Brainliest

Answer:

1550miles

Step-by-step explanation:

assume her house to LA has x miles, therefore her house to NYC is x+100miles

x+x+100=3000

2x=2900

x=1450

x+100=1550miles

Answer:

74 feet

Step-by-step explanation:

24^2 + 70^2 = 74^2

Pythagorean Theorem

Answer:

D. 6.01

Step-by-step explanation:

6.01 is greater than six.

Answer: D

Step-by-step explanation:

“>” means greater than. So, T has to be bigger than 6. 6.01 is bigger.

Answer:

[tex]\triangle LKJ \sim \triangle LHG[/tex]

Step-by-step explanation:

Let suppose that JK and GH are parallel to each other and the length of JK is a multiple of the length of GH ([tex]JK = m\cdot GH[/tex]), then we know that [tex]\angle H \cong \angle J[/tex] and [tex]\angle G \cong \angle K[/tex] by alternate internal angles and [tex]\angle L_{1} \cong \angle L_{2}[/tex] by opposite angles, then [tex]KL = m\cdot GL[/tex] and [tex]HL = m\cdot JL[/tex]. Lastly, we conclude that [tex]\triangle LKJ \sim \triangle LHG[/tex]

Answer:

x=-2

y=5

Step-by-step explanation:

x+2y=8   equation-1  

-x+3y=17 equation-2

5y=25

Both side divided 5,

y=5

Equation-1, y=5

x+2(5)=8

x+10=8

Both side -10

x+10-10=8-10

x=-2

Equation-2, y=5

-x+3(5)=17

-x+15=17

Both side -15

-x+15-15=17-15

-x=2

x=-2