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Eddi Din [679]
3 years ago
11

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:

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

Answer:

x = 8

Step-by-step explanation:

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

Therefore:

\frac{BC}{FG} = \frac{AD}{EH}

BC = 4

FG = 3

AD = x

EH = 6

Plug in the values

\frac{4}{3} = \frac{x}{6}

Multiply both sides by 6

\frac{4}{3}*6 = \frac{x}{6}*6

\frac{24}{3} = x

8 = x

x = 8

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The slope intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).  We are given that the slope is 4/5 and the point (0,1) so we know m=4/5 and b=1 so:

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However, by convention, in standard form, the equation is usually expressed with a positive coefficient for x.

5y-4x=5 SHOULD be expresses so the x has a positive coefficient, divide both sides by -1 and you have the technically correct form:

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