<p>Hello whomever is reading. I couldn't solve the following problems on the SAT and was hoping that the people here can.</p>
<ol>
<li>On the number line, the distance between the point whose coordinate is a and the point whose coordinate is b is greater than 100. Which of the following must be true?
a-b100
/a-b/100
/a//b/ 100 </li>
<li>In the figure above ( picture:<a href="http://i54.tinypic.com/sm8ysz.jpg%5B/url%5D">http://i54.tinypic.com/sm8ysz.jpg</a>), AC=6 and BC=3. Point P(not shown) lies on AB between A and B such that CP perpendicular AB. Which of the following could be the length of CP?
A:2
B:4
C:5
D:7
E:8</li>
</ol>
<p>I would really appreciate it if someone solves it and explains how they solved it, thanks in advance!</p>
<p>The answer is E. They tell you that #1 and #4 are red and #3 is blue. The other two are either both white or both blue because marble # 5 is the same color as #2 which is not red. So, you can have one or three blue marbles, but not two.</p>
<p>The question about the length of the perpendicular CP. Is there anyway we could find the answer to this question if it was in grid-in? And in what condition does the perpendicular drawn bisect the base?</p>
<p>It could have been a grid-in just the way it was stated! But there would be a range of correct answers: any positive number less than 3. There would be no unique solution though.</p>
<p>For you other question: an altitude is also a segment bisector if the altitude is drawn from the vertex of an isosceles triangle.</p>