line segment ab was dilated to create line segment ab using the dilation rule d_{q,0.15}. what is x, the…

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

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

Answer

planation:

Step1: Recall the dilation formula

The dilation formula is (QA'=0.15\times QA). Let (QA = x + 2.4). Then (QA'=2.4).

Step2: Substitute into the formula

Substitute into (QA'=0.15\times QA), we get (2.4 = 0.15\times(x + 2.4)).

Step3: Solve the equation

First, divide both sides of the equation (2.4 = 0.15\times(x + 2.4)) by (0.15): (\frac{2.4}{0.15}=x + 2.4). Since (\frac{2.4}{0.15}=16), then (16=x + 2.4). Subtract (2.4) from both sides: (x=16 - 2.4).

Answer:

(13.6) units