Given a triangle ABC, AM = 2/3 * AB, AN = 3/2 * AC. Line MN intersects BC at point K. Find coordinates of vector AK in basis from vector AB and AC. Please, help me. I'll be very grateful!

State if the two triangles are congruent. if they are, state how you know?

Suppose you are choosing a 6-digit personal access code. this code is made up of 4 digits chosen from 1 to 9, followed by 2 letters chosen from a to z. any of these digits or letters can be repeated. find the total number of personal access codes that can be formed. 492,804 341,172 39,917,124 4,435,236

Susie wants to take her friend out for lunch.she wants to spend $9.75 each person. how much will she spend in all.