look at the diagram.\nwhich equation can be used to solve for x?\nsolve for x.\nx =

look at the diagram.\nwhich equation can be used to solve for x?\nsolve for x.\nx =

look at the diagram.\nwhich equation can be used to solve for x?\nsolve for x.\nx =

Answer

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)