To solve the equation \( 150 = 200 - \frac{1}{2} \times 20 \times h \), we can start by simplifying the right side.
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Calculate \( \frac{1}{2} \times 20 \): \[ \frac{1}{2} \times 20 = 10 \]
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Substitute back into the equation: \[ 150 = 200 - 10h \]
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Next, let's isolate the term with \( h \) by subtracting 200 from both sides: \[ 150 - 200 = -10h \] \[ -50 = -10h \]
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Now, divide both sides by -10 to solve for \( h \): \[ h = \frac{-50}{-10} = 5 \]
So, the solution is: \[ h = 5 \]