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Mazyrski [523]
3 years ago
6

Determine the value of x. Assume the segments that appear tangent are tangent

Mathematics
1 answer:
siniylev [52]3 years ago
4 0

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Segment lengths of each chord have the same product.

  (x -2)(x +6) = 9×20

  x² +4x -12 = 180

  x² +4x +4 = 196 . . . . . add 16 (complete the square)

  (x +2)² = 14²

  x +2 = 14 . . . . . . . . . . . positive root is the only one useful

  x = 12

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45°

Step-by-step explanation:

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<em>We </em><em>can </em><em>find </em><em>the </em><em>median </em><em>by </em><em>using </em><em>the </em><em>formula:</em>

<em>(</em><em>N+</em><em>1</em><em>/</em><em>2</em><em>)</em><em> </em><em>th </em><em>item</em>

<em>For </em><em>example:</em>

<em>Given </em><em>data:</em><em> </em><em>4</em><em>,</em><em>6</em><em>,</em><em>3</em><em>,</em><em>5</em><em>,</em><em>7</em>

<em>We </em><em>have </em><em>to </em><em>arrange </em><em>the </em><em>data </em><em>into </em><em>ascending</em><em> </em><em>order</em><em>:</em>

<em>=</em><em>3</em><em>,</em><em>4</em><em>,</em><em>5</em><em>,</em><em>6</em><em>,</em><em>7</em>

<em>N(</em><em>total </em><em>no </em><em>of </em><em>items)</em><em>=</em><em>5</em>

<em>Now,</em>

<em>Median=</em><em>(</em><em>N+</em><em>1</em><em>/</em><em>2</em><em>)</em><em>th </em><em>item</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>(</em><em>5</em><em>+</em><em>1</em><em>/</em><em>2</em><em>)</em><em> </em><em>th </em><em>item</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>(</em><em>6</em><em>/</em><em>2</em><em>)</em><em> </em><em>th </em><em>item</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>3</em><em>r</em><em>d</em><em> </em><em>item</em>

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<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

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