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look at the diagram. which equation can be used to solve for x? 22x = 9…

Question

look at the diagram.
which equation can be used to solve for x?
22x = 90
4x + 18 = 90
22x + 90 = 180
4x + 18 = 180
solve for x.
x =

Explanation:

Step1: Identify complementary angles

Complementary angles sum to \(90^{\circ}\). Here, \(18^{\circ}\) and \(4x^{\circ}\) are complementary.

Step2: Set up the equation

The equation is \(4x + 18=90\).

Step3: Solve for \(x\)

Subtract \(18\) from both sides: \(4x=90 - 18\), so \(4x=72\).
Divide both sides by \(4\): \(x=\frac{72}{4}\).

Answer:

\(x = 18\)