Question

find the value of x. (3x - 1)° (8x + 3)° work must be shown on the work paper to receive credit. x =

Explanation:

Step1: Use the triangle angle - sum property

In a right - triangle, the sum of the two non - right angles is \(90^{\circ}\). So, \((3x - 1)+(8x + 3)=90\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(3x+8x-1 + 3=90\), which simplifies to \(11x+2 = 90\).

Step3: Solve for \(x\)

Subtract \(2\) from both sides: \(11x=90 - 2\), so \(11x=88\). Then divide both sides by \(11\): \(x=\frac{88}{11}\).

Answer:

\(x = 8\)