Question

question 6 (1 point)
find the value of x.

x=
blank 1:

Explanation:

Step1: Set up the equation

Since the two angles \((x + 13)^{\circ}\) and \((4x-23)^{\circ}\) are complementary (they form a right - angle, sum to \(90^{\circ}\)), we have the equation \(x + 13+4x-23 = 90\).

Step2: Combine like terms

Combine the \(x\) terms and the constant terms: \((x + 4x)+(13 - 23)=90\), which simplifies to \(5x-10 = 90\).

Step3: Isolate the variable term

Add \(10\) to both sides of the equation: \(5x-10 + 10=90 + 10\), so \(5x=100\).

Step4: Solve for \(x\)

Divide both sides by \(5\): \(x=\frac{100}{5}\).

Answer:

\(20\)