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svetlana [45]
3 years ago
14

Find the coordinates of the intersection of the diagonals of parallelogram qrst with vertices q(-8,1), r(2,1), s(4,-3), t(-6,-3)

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer:

Point of intersection is (-2, -1).

Step-by-step explanation:

The diagonals bisect each other so we only need to find the midpoint  of one of the diagonals. We'll use the diagonal qs:-

Midpoint = (-8 + 4)/2, (1 + -3)/2

= (-2, -1)


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It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.

Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC

⇒ Angle ABC = Angle ABD + Angle DBC

Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree

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