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POINTS ON A FIGURE. Write CL if the following points on the figure are collinear, CP if coplanar
and N if neither on the blank.
1. points J. U
4. points O, U, J
5. points L. Y O
2. points L, J
3. points F U. L

LINES ON A FIGURE. Use the figure below to identify the following lines.
1. TK and AK
a intersecting
2. AL and TO
b. perpendicular
3. 0E and OT
c. paralle
4. LE, LB and Lo
d. skew
5. AT and LE
e. concurrent

FIGURE ILLUSTRATION, Draw the following and label them accordingly
1. points Y E. S are collinear
2. MA L TH
3. q ll p ll r

The standard distance between studs in a house is 1.5 feet. if you have a set of blueprints for a house that mark every 1.5 feet with 2 in., by how many inches will a 13-foot wall be represented?

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.