Question

look at the diagram.
which equation can be used to solve for x?
2(x - 14) = 90
2x - 14 = 180
2(x - 14) = 180
2x - 14 = 90
solve for x.
x =
submit
work it out

Explanation:

Step1: Analyze the relationship between angles

Since the two angles \((x - 14)^{\circ}\) are complementary (they form a right - angle of \(90^{\circ}\)), the sum of the two angles is \(90^{\circ}\). So the equation is \(2(x - 14)=90\).

Step2: Solve the equation \(2(x - 14)=90\)

First, divide both sides of the equation by \(2\):
\(x-14=\frac{90}{2}\)
\(x - 14=45\)
Then, add \(14\) to both sides of the equation:
\(x=45 + 14\)
\(x=59\)

Answer:

The equation that can be used to solve for \(x\) is \(2(x - 14)=90\), and \(x = 59\)