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3 years ago

Quadrilateral ABCD has the following vertices:

Mathematics

2 answers:

GenaCL600 [577]3 years ago

6 0

9514 1404 393

Answer:

yes

Step-by-step explanation:

The figure can be shown to be a parallelogram by showing the sum of endpoints of the diagonals is the same.

A +C = B +D

(0, 6) +(0, -4) = (0, 2) = (3, 5) +(-3, -3) . . . . diagonals bisect each other

If the diagonals of a quadrilateral bisect each other, it is a parallelogram. A parallelogram with a right angle is a rectangle. So, ABCD is a rectangle.

_____

<em>Additional comment</em>

The midpoint of each diagonal is half the sum of the end point coordinates. That is, the midpoints are (0, 2)/2 = (0, 1). Since calculation of the midpoints requires both sums be divided by 2, we can tell the midpoints are the same if the sums are the same.

ohaa [14]3 years ago

6 0

Answer:

Yes, because opposite sides are parallel, and \angle A∠Aangle, A is a right angle.

Step-by-step explanation:

khan academy

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3 years ago

Read 2 more answers

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Ierofanga [76]

Answer:

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Step-by-step explanation:

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2 years ago

Calculate A^2, given A=[tex]Given A=[−3 4/-2 0}

MatroZZZ [7]

Answer:

$\large\boxed{A^2=\left[\begin{array}{ccc}1&-12\\6&-8\end{array}\right] }$

Step-by-step explanation:

$A=\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right]\\\\A^2=\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right] \cdot\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right] =\left[\begin{array}{ccc}(-3)(-3)+(4)(-2)&(-3)(4)+(4)(0)\\(-2)(-3)+(0)(-2)&(-2)(4)+(0)(0)\end{array}\right]\\\\A^2=\left[\begin{array}{ccc}1&-12\\6&-8\end{array}\right]$

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3 years ago

Find the value of x. Everything is in the photo.

Elan Coil [88]

Answer:

Step-by-step explanation:

Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.

Finding angles of the triangle:

<WYX = <XYZ - <WYZ = 180 - 4x

<XWY = <XWV - <VWY = 180 - 6x

Using the sum of angles in a triangle and substituting these values in:

180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x

270 = 10x

We are done! I hope this helps! :)

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3 years ago

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Answer:

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Step-by-step explanation:

63 is 70% of 90 which means that 30 percent of the price is off.

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3 years ago