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Bingel [31]
3 years ago
14

Keisha has been given a list of 3 bands and asked to place a vote. Her vote must have the names of her favorite and second favor

ite bands from the list. How many different votes are possible?
Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0
I think the amount of votes you need is 25?
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Artyom0805 [142]

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°.

\angle \: ABP =  \frac{180 - 80}{2}  = 50 \degree

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 :)

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