Question

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

Explanation:

Step1: Set up the equation

Since the two angles \((9x - 14)^{\circ}\) and \((4x)^{\circ}\) are complementary (they form a right - angle, sum to \(90^{\circ}\)), we add them together: \((9x - 14)+4x=90\).
Combine like terms: \(9x+4x-14 = 90\), which simplifies to \(13x-14 = 90\).

Step2: Solve for \(x\)

Add \(14\) to both sides of the equation \(13x-14 = 90\):
\(13x-14 + 14=90 + 14\), so \(13x=104\).
Divide both sides by \(13\): \(x=\frac{104}{13}\).

Answer:

\(x = 8\)