In the following figure, line dg is tangent to point a at f; line ec and line eh are tangent segments. if a f = 11 and df = 17, find ad

round your answer to the nearest hundredth.

DG is the tangent
АF is the radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point   ⇒ m∠АFD = 90°  ⇒ ΔАDF is the right triangle (АD is the hypotenuse).

By the Pythagorean theorem:
АD² = АF² + DF²
АD² = 11² + 17² = 121 + 289 = 410
АD = √410 ≈ 20.25 units  ← to the nearest hundredth.

Do the math. she originally had 50 dollars on her gift card and she had 12 dollars left on her gift card after she finished her shopping spree. if you subtract 50 minus 12 you get thirty eight dollars as your answer. so therefore, ciara spent 38 dollars total o