Question

find x if ql = 2x - 3 and qj = x + 1
value of x = type your answer..
what is the length of segment jl? type your answer..

Explanation:

Step1: Assume Q is midpoint (from diagram)

Since Q is the midpoint of \( JL \), \( QJ = QL \). So \( x + 1 = 2x - 3 \).

Step2: Solve for x

Subtract \( x \) from both sides: \( 1 = x - 3 \).
Add 3 to both sides: \( x = 4 \).

Step3: Find length of \( JL \)

\( QJ = 4 + 1 = 5 \), \( QL = 2(4) - 3 = 5 \).
\( JL = QJ + QL = 5 + 5 = 10 \).

Answer:

value of \( x = 4 \)
length of segment \( JL = 10 \)