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A pool company is creating an image for a dient that has the look of a 3-D image for a family pool and a similar dop pool. Find the value of x in the drawing below:

A pool company is creating an image for a dient that has the look of a 3D image for a family pool and a similar dop pool Find the value of x in the drawing belo class=

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akposevictor

Answer:

x = 8

Step-by-step explanation:

Since both pools are similar, it follows that their side lengths are proportional.

Therefore:

[tex] \frac{BC}{FG} = \frac{AD}{EH} [/tex]

BC = 4

FG = 3

AD = x

EH = 6

Plug in the values

[tex] \frac{4}{3} = \frac{x}{6} [/tex]

Multiply both sides by 6

[tex] \frac{4}{3}*6 = \frac{x}{6}*6 [/tex]

[tex] \frac{24}{3} = x [/tex]

8 = x

x = 8

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