If two tangents of circle O meet at the external point P, find X.
SHOW WORK

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

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )