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slava [35]
2 years ago
7

Please show how you got the answer, thanks.

Mathematics
1 answer:
FrozenT [24]2 years ago
5 0

Answer:

15.7 feet

Step-by-step explanation:

What we are looking for here is the perimeter/circumference of the table. The formula for the circumference of a circle is diameter x pi. The diameter is 2x the radius so I did 5 x 3.14, 3.14 being in place for pi. Hope this helps! : )

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Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

\angle DE F\cong \angle GEH          (Common angle)

\angle EDF\cong \angle EGH          (Corresponding angle)

\Delta DE F\sim \Delta GEH             (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

\dfrac{DE}{GE}=\dfrac{DF}{GH}

\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}

\dfrac{x+14}{x+5}=2

x+14=2(x+5)

x+14=2x+10

Isolating variable terms, we get

x-2x=-14+10

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Therefore, the value of x is equal to 4.

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Your correct answer would be. . . 

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