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Type: Multiple-Choice
Category: Similar and Congruent Figures
Level: Grade 10
Standards: HSG-SRT.B.5
Author: nsharp1
Last Modified: 2 weeks ago

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Similar and Congruent Figures Question

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Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.5

In the circle pictured below point [math]O[/math] is the center, [math]bar{AB}[/math] is a diameter, and [math]bar{AD}[/math] is tangent to the circle. If [math]ang CAB ~= ang ADO[/math], [math]CB = 2x \ "units"[/math] ([math]bar{CB}[/math] is not drawn), [math]AB = 2x+4 \ "units"[/math], and [math]OD = x + 16/3 \ "units"[/math], what is the value of [math]x ?[/math]
Circle ABCD
  1. [math]x = 16/3[/math]
  2. [math]x = 16/9[/math]
  3. [math]x=3[/math]
  4. [math]x = -10/3 +2/3sqrt(34)[/math]
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