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2 years ago

Find the value of x for which ABCD must be a parallelogram. Express your answer as a decimal.

Mathematics

2 answers:

Pie2 years ago

8 0

2x+7=12x-6
7=10x-6
13=10x
13/10=x

solmaris [256]2 years ago

6 0

Answer:

X= 1.3

Step-by-step explanation:

If you need this to be a parallelogram, you need to found two pairs of parallel sides to be the same length.

The AB side has to be the same as the CD side.

So, to find x, you need to equal the two equations given, because both sides have to be the same.

$2x+7=12x-6$

To find x first put all X terms to one side of the equal and no X terms to the other side.

$7+6=12x-2x$

And you resolve

$13=10x\\13/10=x\\1.3=x$

So, to have a parallelogram, the value of X is 1.3

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Dominik [7]

Answer:

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

Step-by-step explanation:

Given

$(x_1,y_1,z_1) = (1,3,-2)$

$(x_2,y_2,z_2) = (4,5,0)$

$(x_3,y_3,z_3) = (6,3,9)$

Required

Determine the coordinates of the centroid

Represent the coordinates with C.

C is calculated as follows:

$C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))$

Substitute values of x and y in the given equation

$C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))$

$C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))$

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

<em>The above is the coordinate of the centroid</em>

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2 years ago

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kirill115 [55]

Answer:

Step-by-step explanation:

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1 year ago

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Answer:

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Answer:

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Step-by-step explanation:

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