Question

look at the diagram.
which equation can be used to solve for x?
2x + 3 = 71
7x - 6 = 71
11x - 6 = 71
2x + 3x = 71
solve for x.
x =
submit
work it out

Explanation:

Step1: Use Angle Addition Postulate

The measure of \(\angle RSP\) is the sum of the measures of \(\angle RSQ\) and \(\angle QSP\). So, \(2x+(9x - 6)=71\).

Step2: Simplify the Left - Hand Side

Combine like terms: \(2x+9x-6=(2 + 9)x-6=11x-6\). So the equation becomes \(11x-6 = 71\).

Step3: Solve for \(x\)

Add \(6\) to both sides of the equation: \(11x-6+6=71 + 6\), which gives \(11x=77\). Then divide both sides by \(11\): \(x=\frac{77}{11}=7\).

Answer:

\(x = 7\)