Question

look at the diagram.
which equation can be used to solve for x?
11x = 90 6x = 24 11x + 24 = 90 11x + 24 = 180
solve for x.
x =
submit
work it out

Explanation:

Step1: Analyze the angle sum

Since \( \angle PVS = 90^{\circ}\) (right - angle), and the sum of angles \(6x\), \(5x\), and \(24^{\circ}\) around point \(V\) (part of the right - angle) gives the equation \(6x+5x + 24=90\). Simplifying \(6x + 5x\) to \(11x\), we get \(11x+24 = 90\).

Step2: Solve the equation for \(x\)

Subtract \(24\) from both sides of the equation \(11x+24 = 90\):
\(11x+24-24=90 - 24\)
\(11x=66\)
Divide both sides by \(11\):
\(x=\frac{66}{11}\)

Answer:

\(x = 6\)