Question

look at the diagram. which equation can be used to solve for x? 13x - 14 = 90 13x - 14 = 180 5x - 14 = 90 5x - 14 = 180

Explanation:

Step1: Combine like - terms

The two angles \((9x - 14)^{\circ}\) and \((4x)^{\circ}\) are complementary (they add up to \(90^{\circ}\) as \(\angle DFE = 90^{\circ}\)).

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Step2: Simplify the left - hand side

Using the distributive property \(a(b + c)=ab+ac\) (here \(a = 1\)), we combine the \(x\) terms: \(9x+4x=13x\).

$$ 13x-14 = 90 $$

Answer:

\(13x - 14=90\)