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Nina [5.8K]
3 years ago
13

Find the value of x.

Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

\textsf{x=22.5}

Step-by-step explanation:

\textsf{According to intersecting tangent - secant theorem,}

\textsf{x=1/2[(4x+5)-50]}

\textsf{2(x)=4x+5-50}

\textsf{2x=4x-45}

\textsf{2x-4x=-45}

\textsf{-2x=-45}

\textsf{x= -45/-2}

\textsf{x=22.5}

\textsf{OAmalOHopeO}

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Answer:

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Step-by-step explanation:

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_____

<em>Comment on the geometry</em>

There are three "geometric mean" relationships that apply to this geometry.

  1. the altitude BD is the geometric mean of BC and BA (√30)
  2. the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
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If you were aware of the last of these relationships, you could write down the answer without any "work."

  y = √(5(5 +6)) = √55

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Step-by-step explanation:

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