Question

Use the figure on the right to answer the question. T is the midpoint of line segment QP.

A. 12
B. 10
C. 8
D. 6

Answer 1

`\qquad \qquad\huge \underline{\boxed{\sf Answer}}`

As per given in question, T is mid - point of QP ; so the measures QT and TP are equal.

that is :

`\qquad \sf  \dashrightarrow \: 2x + 1 = 3x - 5`

`\qquad \sf  \dashrightarrow \: 3x - 2x = 1 + 5`

`\qquad \sf  \dashrightarrow \: x = 6`

Value of x is 6, so correct choice is D