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Mathematics

2 answers:

VARVARA [1.3K]2 years ago

8 0

9514 1404 393

Answer:

both figures are parallelograms

Step-by-step explanation:

The diagonals of a quadrilateral bisect each other if and only if that quadrilateral is a parallelogram. Hence, the left figure is a parallelogram.

The opposite angles of a quadrilateral are congruent if and only if that quadrilateral is a parallelogram. Hence the right figure is a parallelogram.

Additional comment

Proofs of these conditions can be offered, but these are the conclusions of the respective proofs. The bisected diagonals form pairs of triangles, provably congruent using SAS. (left figure) The angles total 360°, so any adjacent pair must total 180°, making opposite sides parallel. (right figure)

Kamila [148]2 years ago

7 0

Answer:

they both are because they are not symmetrical??

Step-by-step explanation:

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Find the value of x for which m parallel to n A. 31 B. 33 C. 39 D. 41

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We are told that n and m are parallel.
The angle that measures 105 degrees is supplementary with the alternate interior angle of the angle which measures (3x - 18) degrees. Supplementary angles add to equal 180 degrees, so we can make an equation by first finding the measure of the alternate interior angle.

180 - 105 = 75

The alternate interior angle measures 75 degrees, so we can set that equal to 3x - 18 to solve for x since alternate interior angles are congruent.

75 = 3x - 18
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Answer:
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