Kat has 19 coins, all quarters and dimes, that are worth a total of $4. The system of equations that can be used to find the num
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The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ
<h3>How to prove a Parallelogram?</h3>The six basic properties of parallelograms are primarily;
- Both pairs of opposite sides are parallel
- Both pairs of opposite sides are congruent
- Both pairs of opposite angles are congruent
- Diagonals bisect each other
- One angle is supplementary to both consecutive angles (same-side interior)
- One pair of opposite sides are congruent AND parallel.
Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ
Read more about Parallelogram Proof at; brainly.com/question/24056495
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Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.
Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.
Therefore, the angle BKQ is equal to 180-50-45=85°.
Of course angle BKP=180-85=95°.
Hope this helps :)