When Riley goes bowling, her scores are normally distributed with a mean of 160 and
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The complete proof for the given parallelogram is given in the image attached below.
<h3>What is a Parallelogram?</h3>A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.
The complete proof would be as shown below:
1. ABCD is a parallelogram [given]
2. AB║CD [Definition of parallelogram]
3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]
4. AB ≅ CD [Definition of parallelogram]
5. ΔABE ≅ ΔCDE [ASA]
6. AE ≅ CE, BE ≅ DE [CPCTC]
7. AC and BD bisects each other at E [definition of segment bisector]
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The increasing and decreasing intervals are marked on the graph and attached below.
The red arrow mark shows the part where graph is decreasing
The green arrow mark shows the part where graph is increasing
There is no end point or starting point for the graph
The graph starts decreasing at -∞ and it decreases till it reaches -2.5
Also the graph start decreasing at 0 and goes to +∞
So we have two decreasing intervals
(-∞ , -2.5) U (0, ∞)
The graph starts increasing at -2.5 and it increases till it reaches 0
So increasing interval is
(-2.5, 0)
