Answer: x = 11
Step-by-step explanation:
2x+5 = 3x-6
2x-3x = -6-5
-x = -11
x = 11
Double-check:
11*2= 22 11*3=33
22+5 = 27 33-6= 27
Answer:
3
Step-by-step explanation:
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 :)
In standard form it would be y= 5x - 4
There is a 3% chance of each light bulb being defective, and we only want 5 of them to be defective. The chance is then:

Or this really small number: 1.13474853e-8