Question

T is between S and U ST = X-6, SU = 10 units, and TU = 2x - 8. Find the length of ST.

8
2
5​

Answer 1

B. ST = 2

Explanation:

|<-------------- 10 --------------------->|

S-------------------T--------------------U

X-6 2X - 8

FIND: ST

SOLUTION:

ST + TU = SU

x - 6 + 2x - 8 = 10

combine like terms:

3x - x = 10 + 8 + 6

x = 24/3

x = 8

plugin the value of x= 8 into the ST = x - 6

ST = x - 6

ST = 8 - 6

ST = 2

proof:

x - 6 + 2x - 8 = 10

8 - 6 + 2(8) - 8 = 10

10 = 10 ---OK