Question

look at the diagram. which equation can be used to solve for x? 3x + 70 = 110 4x + 70 = 110 4x + 70 = 180 4x = 70 find the value of x. x =

Explanation:

Step1: Analyze the diagram and angles

From the diagram, we can see that the angle of \(110^\circ\) and the sum of the angles \(x^\circ\), \(x^\circ\), \(x^\circ\), \(x^\circ\) (since there are four equal angles related to \(x\)) and \(70^\circ\) should be supplementary or related in a way that their sum makes sense. Wait, actually, looking at the equation options, we can see that the correct equation to solve for \(x\) is \(4x + 70 = 110\) (let's verify: if we consider the angles around point \(E\), the angle of \(110^\circ\) and the angle composed of \(4x\) and \(70^\circ\) are equal? Wait, maybe vertical angles or linear pairs. Anyway, let's solve the equation \(4x+70 = 110\).

Step2: Solve the equation \(4x + 70 = 110\)

Subtract 70 from both sides:
\(4x+70 - 70=110 - 70\)
\(4x = 40\)

Step3: Divide both sides by 4

\(\frac{4x}{4}=\frac{40}{4}\)
\(x = 10\)

Answer:

The equation to solve for \(x\) is \(4x + 70 = 110\) and the value of \(x\) is \(10\).