If T is the midpoint of SU, find SU given ST=3x+2 and TU x+30

Answer 1

Use the Addition Postulate.

ST + TU = SU

(3x + 2) + (x + 30) = SU

3x + 2 + x + 30 = SU

4x + 32 = SU

Answer 2

If T is the midpoint of SU, then ST must equal TU, which means 3x + 2 = x + 30 and x = 14.

This means ST = 3(14) + 2 = 44 and TU = 14 + 30 = 44.

By segment addition rule, ST + TU = SU, so SU = 44 + 44 = 88