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Type: Multiple-Choice
Category: Similar and Congruent Figures
Level: Grade 10
Standards: HSG-SRT.B.5
Author: nsharp1
Created: 4 years ago

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

In the circle pictured below point

$O$ is the center,

$bar{AB}$ is a diameter, and

$bar{AD}$ is tangent to the circle. If

$ang CAB ~= ang ADO$ ,

$CB = 2x \ "units"$ (

$bar{CB}$ is not drawn),

$AB = 2x+4 \ "units"$ , and

$OD = x + 16/3 \ "units"$ , what is the value of

$x ?$