Cho tam giác ABC. Ba trung tuyến AM ; BN; CP cắt nhau tại G .Trên tia GM lấy điểm D sao cho MD = MG ,trên tia GN lấy điểm E sao cho NE = NG và trên tia GP lấy điểm F sao cho PF = PG. a) Chứng minh ∆ ABC = ∆ DEF
b) Chứng minh rằng G là trọng tâm của tam giác DEF

Chamberlin wants to bottle 1\8 of her apple cider. she pours the apple cider evenly among 6 bottles. what fraction of her apple cider will she put in each bottle? what expression could represent this situation?

Rachel reads 1/5 of the pages of a book plus 12 pages on the first day. on the second day, she reads 1/4 of the remaining pages plus 15 pages. on the third day, she reads 1/3 of the remaining pages plus 18 pages. on the fourth day, she reads the remaining 70 pages. how many total pages are in the book?

Simplify. −4x^2 (5x^4−3x^2+x−2) −20x^6−12x^4+8x^3−8x^2 −20x^6+12x^4−4x^3+8x^2 −20x^8+12x^4−4x^2+8x −20x^6+12x^4+4x^3−8x^2