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
solve for x.
x = 90

Explanation:

Step1: Find the equation

Since the two angles \((9x - 14)^{\circ}\) and \((4x)^{\circ}\) are complementary (they form a right - angle), we use the property of complementary angles. The sum of complementary angles is \(90^{\circ}\). So, \((9x - 14)+4x=90\). Simplifying the left - hand side gives \(13x - 14 = 90\).

Step2: Solve the equation for \(x\)

Add \(14\) to both sides of the equation \(13x-14 = 90\):
\(13x-14 + 14=90 + 14\)
\(13x=104\)
Divide both sides by \(13\):
\(x=\frac{104}{13}\)
\(x = 8\)

Answer:

The equation is \(13x - 14 = 90\) and \(x = 8\)