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line segment ab was dilated to create line segment ab using the dilatio…

Question

line segment ab was dilated to create line segment ab using the dilation rule d_{q,0.15}. what is x, the distance between points a and a? 2.4 units 4.8 units 13.6 units 14.4 units

Explanation:

Step1: Understand the dilation rule

Dilation rule \(D_{Q,0.15}\) means the scale factor \(k = 0.15\). Let \(QA=x + 2.4\) and \(QA'=2.4\). Since \(QA'=k\times QA\), we have \(2.4=0.15\times(x + 2.4)\).

Step2: Solve the equation

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Answer:

13.6 units