Question

Point R is on line segment \overline{QS} QS ​ . Given QR=4,QR=4, QS=4x,QS=4x, and RS=5x-9,RS=5x−9, determine the numerical length of \overline{RS}. RS .

Answer 1

Answer:

  RS = 16

Step-by-step explanation:

The segment addition theorem tells you ...

  QR +RS = QS

  4 + (5x-9) = 4x

  x = 5 . . . . . . . . . . . add 5-4x

Then the length of RS is ...

  RS = 5(5) -9

  RS = 16