What is the sum of 2 7/8 plus 6 plus 3 2/5 simplified?
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Answer:
See below:
Step-by-step explanation:
First of all, you will see that diagonal BD is a angle bisector for Angles <ABC and <ADC. Now, knowing that it is a square.
We see that the angle bisector splits the angles into 45 degrees each due to the sum of angles in a square being 360 degrees hence giving us 4 right angles.
Now, if we see this, we see that we have a 45 45 90 Triangle!
The theorem states that the hypotenuse is equal to .
Hence, we get our answer of !
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 :)