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number 17 please.If m∠CBF = 6x + 18, find the value of x so that '''' ⊥ ''''. A 90 B 45 C 18 D 12

number 17 please.If m∠CBF = 6x + 18, find the value of x so that '''' ⊥ ''''. A 90 B-example-1
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User Pigna
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1 Answer

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since we want that CB and BF be perpendicular, then the measure of angle CBF must be 90, then, we have the following equation:


6x+18=90

solving for x, we get:


\begin{gathered} 6x+18=90 \\ \Rightarrow6x=90-18=72 \\ \Rightarrow x=(72)/(6)=12 \\ x=12 \end{gathered}

therefore, x = 12

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User Benophobia
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