Madison is organizing her bookshelf. she places her favorite book on the first shelf. she puts 2 books on the second shelf and 4 books on the third shelf. she continues by putting 8 books on the fourth shelf and 16 books on the fifth shelf. she has one more shelf left. if this pattern continues, how many books will be on the last shelf? explain how you found your answer.

Apolygon is shown on the graph: a polygon is shown on the coordinate plane. vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3. what effect will a translation 3 units down and 2 units left have on the polygon? be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image. xd i need

Which unit rate is the lowest price per ounce? (5 points) choice a: 6 ounces of chocolate chips for $2.49 choice b: 8 ounces of chocolate chips for $3.32

Asource of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays strike the walls at points b and c, as shown below: what is the distance between the walls?