Geometry! the diagram shows 5 ft student standing near a tree. the shadow of the student and the shadow of the tree end at point a. what is the height of the tree? show all your work, and make sure to include units in your final answer.

Figure abcd is a parallelogram. if point c lies on the line x = 2, what is the y-value of point c?

Find the length of the following tangent segments to the circles centered at o and o' whose radii are 5 and 3 respectively and the distance between o and o' is 12. what is the tangent segment of cd?

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.