For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increas
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A sector is cut out from a circular sheet of paper, and the two edges of the cut are joined together (with no overlap) to form a cone. The cone formed has radius 6 and volume 96 pie . What is the number of degrees in the sector that was cut off?
Since A and B are the midpoints of ML and NP, we can say that AB is parallel to MN and LP. In order to find ∠PQN, we can work with the triangles PQB and NQB. According to SAS (Side-Angle-Side) principle, these triangles are congruent. BQ is a common side for these triangles and NB=BP and the angle between those sides is 90°, i.e, ∠NBQ=∠PBQ=90°. After finding that these triangles are equal, we can say that ∠BNQ is 45°. From here, we easily find <span>∠PQN. It is 180 - (</span>∠QNP + ∠NPQ) = 180 - 90 = 90°
