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9514 1404 393

  x = 70

Step-by-step explanation:

The angle between the tangents is the supplement of the intercepted arc:

  x° = 180° -110°

  x° = 70°

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Alternate solution

The exterior angle x° is half the difference of the intercepted arcs. Long arc ACB is 360° -110° = 250°, so we have ...

  x° = (250° -110°)/2 = 140°/2

  x° = 70°

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If you work this alternate solution generically, you find it is the same as the first solution.

  x = ((360 -AB) -AB)/2 = (360 -2AB)/2 = 180 -AB

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

college