Question

look at the diagram.
which equation can be used to solve for x?
2x + 6 = 90 3x + 6 = 90
8x = 90 2(x + 6) = 90
solve for x.
x =

Explanation:

Step1: Set up the equation

Since \( \angle DHF = 90^{\circ}\), and \( \angle DHE=(2x)^{\circ}\), \( \angle EHF=(x + 6)^{\circ}\), we know that \(2x+(x + 6)=90\).
Simplify the left - hand side: \(2x+x+6 = 3x+6\). So the equation is \(3x + 6=90\).

Step2: Solve the equation for \(x\)

Subtract \(6\) from both sides of the equation \(3x+6 = 90\):
\(3x+6-6=90 - 6\), which gives \(3x=84\).
Divide both sides by \(3\): \(x=\frac{84}{3}\).

Answer:

\(x = 28\)