Use a factor rainbow to determine if 729 is a perfect square. Explain your reasoning.
1 answer:
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<u><em>Answer:</em></u>
x = 3
<u><em>Explanation:</em></u>
The complete question is shown in the attached diagram
<u>Collinear points</u> are defined as points that lie on the same straight line
Since points U, T and V are given to be collinear, this means that these three points lie on the same straight line
Now, we are given that point U is between points T and V
This would mean that the length of segment TV can be written as the sum of the segments TU and UV
<u>Therefore:</u>
TV = TU + UV
<u>We are given that:</u>
TV = 14x - 8
TU = 9x + 2
UV = 5
<u>Substitute with the givens in the above mentioned equation and solve for x as follows:</u>
TV = TU + UV
14x - 8 = 9x + 2 + 5
14x - 8 = 9x + 7
14x - 9x = 7 + 8
5x = 15
x = 3
Hope this helps :)
