Patti works at a coffee shop. she usually takes 3/4 h for lunch. one day the shop was very busy and patti’s manager asked her to shorten her lunch break by 1/6 h. what fraction of an hour did patti take for lunch that day.

Solve for x and y: 217x + 131y = 913; 131x + 217y = 827

Consider circle c with angle acb measuring 3/4 radians.if minor arc ab measures 9 inches, what is the length of the radius of circle c? if necessary, round your answer to the nearest inch.

Quadrilateral efgh was dilated with the origin as the center of dilation to create quadrilateral e'f'g'h'. the quadrilateral was dilated using a scale factor of 2.5. the lengths of the sides of quadrilateral efgh are given. what is the length of side f'g'?