<p>1) <a href="http://img580.imageshack.us/img580/9814/09232011084.jpg%5B/url%5D">http://img580.imageshack.us/img580/9814/09232011084.jpg</a></p>
<p>answer + explanation</p>
<p>7/5=1.4
1.4 x 7= 9.8
Answer 9.8</p>
<p>Reason: the two triangles are similar. The smaller one has a base of 5 and a height of 2. The second one has a base of 7 and a height of x-7. The ratios must be the same. </p>
<p>(x-7)(5) = (2)(7) –> x = 9.8</p>
<p>Alternatively, you can do this: look at only the two smaller squares, and then only the two larger ones. Because they’re ‘the same’ (only scaled up a bit), the side length ratios must be the same. That gives you the same thing.</p>
<p>The easy way or the extended way?</p>
<p>Easy way
You know that the line that just below B is equal to 2 – see 7 minus 5. The ratio of the sides of the first two squares is 5 to 7, or an increase of 40 percent. Apply the same ratio to 2 by multiplying by 1.4 and you have 2.8 for the small line just below C.<br>
Add 7 to 2.8 for the answer 9.8 (or 49/5)</p>
<p>Note that the figure is drawn to scale. </p>
<p>The extended way:
<a href=“http://talk.collegeconfidential.com/sat-preparation/1007943-math-question-collegeboards-online-course.html[/url]”>http://talk.collegeconfidential.com/sat-preparation/1007943-math-question-collegeboards-online-course.html</a></p>
<p>thanks all for your help, i didn’t realize how easy it was
@Xiggi Honestly, man, your name will one day coin a new word that means either make something easier or genius. anyway, thank you.</p>
<p>that either means*</p>