The units in Shante's apartment complex are consecutively numbered on each floor. The sum of her number and her next

Mathematics

1 answer:

hichkok12 [17]4 years ago

4 0

Answer:

222

Step-by-step explanation:

Let x be the number on Shante's doors. The units in Shante's apartment complex are consecutively numbered on each floor, so the number on next door is x+1.

The sum of these numbers is 443, then

$x+(x+1)=443\\ \\x+x+1=443\\ \\2x+1=443\\ \\2x=443-1\\ \\2x=442\\ \\x=221\\ \\x+1=221+1=222$

The larger of two numbers is 222.

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Quadrilateral ABCD has the following vertices:

GenaCL600 [577]

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.

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<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.