<h2>
Explanation:</h2>
In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.
So let's name the vertices as:

First pair of opposite sides:
<u>Slope:</u>

Second pair of opposite sides:
<u>Slope:</u>

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

So the diagonals measure the same, therefore this is a rectangle.
Step-by-step explanation:
We need to find an expression for
.
We can solve it as follows.
We know that,

So,

or

Hence, this is the required solution.
The estimated probability would be 0.1... I had this test yesterday. hope this helps


- A) 2/10 + 8/100 = <u>0</u><u>.</u><u>2</u><u>8</u>
- B) 13/100 + 4/10 = <u>0</u><u>.</u><u>5</u><u>3</u>
- C) 6/10 + 39/100 = <u>0</u><u>.</u><u>9</u><u>9</u>
- D) 70/100 + 3/10 = <u>1</u>
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<em><u>#</u></em><em><u>carry </u></em><em><u>on </u></em><em><u>learning </u></em><u><</u><u>3</u>