QUESTION IMAGE
Question
look at the diagram. which equation can be used to solve for x? 9x - 40 = 90 9x - 36 = 90 9x + 40 = 90 9x + 36 = 90 solve for x. x =
Step1: Identify angle - sum relationship
Since the two non - right angles in the right - angled corner add up to 90 degrees, we have the equation $(9x - 2)+38=90$.
Step2: Simplify the left - hand side of the equation
Combine like terms: $9x+( - 2 + 38)=90$, which simplifies to $9x + 36=90$.
Step3: Solve for x
Subtract 36 from both sides of the equation: $9x+36 - 36=90 - 36$, so $9x=54$. Then divide both sides by 9: $x=\frac{54}{9}=6$.
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The equation is $9x + 36 = 90$ and $x = 6$