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 :)
Answer:
Step-by-step explanation:
Both functions have the same slope, but intersect the axes of the coordinate system at different places. These are two parallel directions.
Answer: -46x-28
Step-by-step explanation:
Distribute:
=12+(−10)(5x)+(−10)(4)+4x
=12+−50x+−40+4x
Combine Like Terms:
=12+−50x+−40+4x
=(−50x+4x)+(12+−40)
Answer:
27 cubic meters
Step-by-step explanation:
The surface area of this cube is 54 square meters.
Given a cube of side length s,
- Surface Area
Therefore:
Volume of a Cube of side length s 
Volume of the cube 
=27 cubic meters
The volume of the cube is 27 cubic meters.
