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alexdok [17]
3 years ago
14

which quadrilateral always has two pairs of parallel sides, four right angles, and four congruent sides

Mathematics
2 answers:
gayaneshka [121]3 years ago
3 0
A square

The two sets of sides across from each other are parallel.

All angles are right.

All sides are equal.
Nuetrik [128]3 years ago
3 0

Answer:

I believe the answer is a square.

Step-by-step explanation:

I came to this conclusion by breaking it down.

A square has two pairs of parallel sides.

A square also has four right angles.

A square also has four congruent (same shape and size) sides.

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<span>We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12. Let r = # of rows and s = # of seats in a row. Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows. Then r x (r + 12) = 1564 or r**2 + 12*r - 1564 = 0, which is a quadratic equation. The general solution of a quadratic equation is: x = (-b +or- square-root( b**2 - 4ac))/2a In our case, a = 1, b = +12 and c = -1564, so x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1 = (-12 +or- square-root( 144 + 6256 ) ) / 2 = (-12 +or- square-root( 6400 ) ) / 2 = (-12 +or- 80) / 2 = 34 or - 46 We ignore -46 since negative rows are not possible, and have: rows = 34 and seats per row = 34 + 12 = 46 as a check 34 x 46 = 1564 = total seats</span>
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