katiemiron94 katiemiron94
  • 25-04-2020
  • Mathematics
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If two tangents of circle O meet at the external point P, find X.
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If two tangents of circle O meet at the external point P find X SHOW WORK class=

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fadedfire07
fadedfire07 fadedfire07
  • 25-04-2020
x=5

Since line PA and line PB are both tangent to circle O, it means that they are congruent together. So you have to set the equations together

5(x-2)=2x+5

Distribute

5x-10=2x+5

Add 10 on both sides

5x=2x+15

Subtract 2x on both sides

3x=15

Divide 3 on both sides

x=5
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