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3 years ago

Find the value of x for which ABCD must be a parallelogram. 24 2 6 12

Mathematics

2 answers:

luda_lava [24]3 years ago

7 0

Answer:

Step-by-step explanation:

Intersection point of diagonals is the mid point of each diagonal.So,

2x+8=6x

6x-2x=8

4x=8

x=8/4

x=2

Lostsunrise [7]3 years ago

4 0

Answer: x = 2

Concept:

There are many properties for parallelograms, however, here, we need to focus on one property about diagonals.

Diagonals of a parallelogram bisect each other.

Solve:

Given information

One side of the diagonal = 6x

The other side of diagonal = 2x + 8

Given expression deducted from the property of parallelogram

One side = Other side

Substitute values into the expression

6x = 2x + 8

Subtract 2x on both sides

6x - 2x = 2x + 8 - 2x

4x = 8

Divide 4 on both sides

4x / 4 = 8 / 4

$\boxed{x=2}$

Hope this helps!! :)

Please let me know if you have any questions

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Pls pls help asap pls

Stolb23 [73]

Answer:

Step-by-step explanation:

3y+7=2x

3y=2x-7

y=(2/3)x-7/3

when parallel, the y=ax+b, the a keeps the same

so it‘s y=(2/3)x-a

and it pass (2,6), so 6=(2/3)*2 -a

6=4/3-a

-a=(18-4)/3

-a=14/3

a=-14/3

6 0

3 years ago

Read 2 more answers

You are creating an emergency fund and decide to place $415.00/month in an account that earns a 3.75 APR. How much interest accr

hoa [83]

At the end of the first full month the interest acquires is $ 1.30.

Step-by-step explanation:

Since we are looking for the interest for full month, we have to divide the APR by 12.

Because APR is the interest amount for the full year.

So 3.75 % = 3.75/100 = 0.0375

Now multiplying, we will get

415 × 0.0375/12 = $ 1.30

4 0

3 years ago

Brandon makes lemon water by adding of a cup of sliced lemon to 2 cups of water. At this rate, how many cups of sliced lemon wou

tatuchka [14]

1 lemon to 2 waters will be proportional to what he Brandon needs so:

1 lemon / 2 water = x lemon / 12 water

Multiply by 12
And you get (1/2)*12 which is 6=x lemons

He needs 6 cups of lemons

5 0

3 years ago

Find the value of 7! 2!

gregori [183]

Answer: 350% is your answer just 7/2×100= 350%

Step-by-step explanation:

6 0

3 years ago

The total cost to rent 5 chairs and 3 tables is $27. The total cost to rent 2 chairs and 12 tables is $81. What is the cost to r

kati45 [8]

The cost to rent each chair is $1.5 and cost to rent each table is $6.5

<h3>Applications of systems of linear equations </h3>

From the question, we are to determine the cost to rent each chair and each table

Let c represent chair

and

t represent table

From the given information,

The total cost to rent 5 chairs and 3 tables is $27

That is,

5c + 3t = 27 ------------ (1)

Also,

The total cost to rent 2 chairs and 12 tables is $81

That is,

2c + 12t = 81 ---------- (2)

Now, solve the equations simultaneously

5c + 3t = 27 ------------ (1)

2c + 12t = 81 ---------- (2)

Multiply equation (1) by 2 and multiply equation (2) by 5

2 × [5c + 3t = 27 ]

5 × [2c + 12t = 81 ]

10c + 6t = 54 ------------- (3)

10c + 60t = 405 ------------- (4)

Subtract equation (4) from equation (3)

10c + 6t = 54

10c + 60t = 405

---------------------------

-54t = -351

t = -351/-54

t = 6.5

Substitute the value of t into equation (2)
2c + 12t = 81

2c + 12(6.5) = 81

2c + 78 = 81

2c = 81 - 78

2c = 3

c = 3/2

c = 1.5

∴ The cost of chair is $1.5 and cost of table is $6.5

Hence, the cost to rent each chair is $1.5 and cost to rent each table is $6.5

Learn more on Solving system of linear equations here: brainly.com/question/13729904

#SPJ1

8 0

1 year ago