Polygon pqrst shown below is dilated with a scale factor of 3, keeping the origin as the center of dilation: two polygons are drawn on a coordinate grid. polygon pqrst has vertices at p 0 and negative 3, q 3 and negative 2, r 3 and 1, s 0 and 2, t negative 2 and 0. polygon p prime q prime r prime s prime t prime has vertices at p prime 0 and negative 9, q prime 9 and negative 6, r prime 9 and 3, s prime 0 and 6, and t prime negative 6 and 0. which statement about polygon pqrst and its image after dilation, polygon p'q'r's't', is correct? the lengths of side rq and side r'q' are in the ratio 1: 3. the length of diagonal rt is equal to the length of diagonal r't'. the measures of angle s and angle s' are in the ratio 1: 3. the length of side pq is equal to the length of side p'q'.

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

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Alana has 12.5 cups of flour with which she is baking four loaves of raisin bread and one large pretzel. the pretzel requires 2.5 cups of flour to make. how much flour is in each loaf of raisin bread? explain the steps to follow to get the answer.