Question

look at the diagram. solve for x. 15x = 75 which equation can be used to solve for x? 10x + 5 = 75 15x + 75 = 180 10x + 80 = 180

Explanation:

Step1: Identify angle - relationship

The angles \(75^{\circ}\) and \((10x + 5)^{\circ}\) are vertical - angles. Vertical angles are equal.

Step2: Set up the equation

Set \(10x+5 = 75\).

Step3: Solve the equation for \(x\)

Subtract 5 from both sides: \(10x=75 - 5\), so \(10x = 70\). Then divide both sides by 10: \(x=\frac{70}{10}=7\).

Answer:

The equation that can be used to solve for \(x\) is \(10x + 5=75\), and \(x = 7\).