Question

solve for x. 22 + 2x 8 r • q • p x + 20 x= 10

Explanation:

Step1: Analyze the segment addition

From the diagram, \( RQ + QP = RP \). So, \( (22 + 2x) + 8 = x + 20 \).

Step2: Simplify the left side

Combine like terms: \( 22 + 2x + 8 = 30 + 2x \). Now the equation is \( 30 + 2x = x + 20 \).

Step3: Solve for x

Subtract \( x \) from both sides: \( 30 + 2x - x = x + 20 - x \), which gives \( 30 + x = 20 \). Then subtract 30 from both sides: \( x = 20 - 30 \).

Answer:

\( x = -10 \)