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In the following image, angles qand rare acute and . If and , what is the value of x?

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In the following image, angles qand rare acute and <img alt='images' src='https://www.fatskills.com/images2/SAT/eq04515.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mo>sin</m:mo><m:mfenced open='(' close=')'><m:mrow><m:mrow><m:mi>q</m:mi><m:mi>°</m:mi></m:mrow></m:mrow></m:mfenced><m:mo>=</m:mo><m:mo>cos</m:mo><m:mfenced open='(' close=')'><m:mrow><m:mrow><m:mi>r</m:mi><m:mi>°</m:mi></m:mrow></m:mrow></m:mfenced></m:mrow></m:math>-->. If <img alt='images' src='https://www.fatskills.com/images2/SAT/eq04516.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mi>q</m:mi><m:mo>=</m:mo><m:mn>8</m:mn><m:mi>x</m:mi><m:mo>+</m:mo><m:mn>3</m:mn></m:mrow></m:math>--> and <img alt='images' src='https://www.fatskills.com/images2/SAT/eq04517.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mi>r</m:mi><m:mo>=</m:mo><m:mn>13</m:mn><m:mi>x</m:mi><m:mo>+</m:mo><m:mn>3</m:mn></m:mrow></m:math>-->, what is the value of x? <img alt='image' src='https://www.fatskills.com/images2/SAT/9781119215844-fg0420.png' />






 
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