1.A regular pentagon is rotated counterclockwise about its center by a nonzero angle. What is the minimum number of degrees it must be rotated until it coincides with its original position?

https://latex.artofproblemsolving.com/e/6/6/e66e869ca42cd75d48a55b84c9acc3815e694262.png

2.Jessica wants to add one more dot to the diagram below so that the four dots form the four vertices of a parallelogram. In how many possible locations can she put her dot?

https://latex.artofproblemsolving.com/e/a/5/ea5e9a9dac5003a72e6e808494f935c99bdbf56a.png

3. OPQRSTUVWX is a regular decagon (10-gon). A rotation of x degrees about U maps X to R Given x<180 find x

https://latex.artofproblemsolving.com/3/e/c/3ec0f4ea12e566e6e5007d09b0f3ddc79e998401.png

Guest Apr 9, 2020

#1**0 **

1. The answer is 24 degrees.

2. The number of possible locations is 4.

3. x = 56 degrees.

RedDragonl May 29, 2024