Question

solve for x. show all steps to solve. upload a file of your work. (4x + 7)° (9x - 33)°

Explanation:

Step1: Identify isosceles - triangle property

In an isosceles triangle, base - angles are equal. Here, the two angles \((4x + 7)^{\circ}\) and \((9x-33)^{\circ}\) are equal. So we set up the equation \(4x + 7=9x - 33\).

Step2: Move x - terms to one side

Subtract \(4x\) from both sides of the equation: \(4x+7-4x=9x - 33-4x\), which simplifies to \(7 = 5x-33\).

Step3: Move constant to the other side

Add 33 to both sides: \(7 + 33=5x-33 + 33\), resulting in \(40 = 5x\).

Step4: Solve for x

Divide both sides by 5: \(\frac{40}{5}=\frac{5x}{5}\), so \(x = 8\).

Answer:

\(x = 8\)