The triangle abc square at A, the altitude AH. The circle with center H. radius HA intersects the line AB at D and cuts AC at E. The median AM of the triangle ABC cuts DE at I. Prove that: a) D, H, E are collinear b) Prove that BCDE insider. Determine the center O of this circle. c) Prove that AM is perpendicular to DE when you are done, pls send me the picture. and can you translate all of it to Vietnamese pls ?​

Kelly is a salesperson at a shoe store, where she must sell a pre-set number of pairs of shoes each month. at the end of each work day the number of pairs of shoes that she has left to sell that month is given by the equation s=300-15x , where s is the number of pair of shoes kelly still needs to sell and x is the number of days she has worked that month. what is the meaning of the number 300 in this equation

With this question substitute t=3 and t=5 to determine if the two expressions are equivalent. 4(t + 3) 4t+12 which statements are true? check all that apply. a. the value of both expressions when t =5 is 32. b. the two expressions are not equivalent. c. the value of both expressions when t=3 is 15. d. the value of both expressions when t=5 is 23. e. the two expressions are equivalent. f. the value of both expressions when t=3 is 24.

Three consecutive integers have a sum of 234. what are the three integers