kenzie656
kenzie656 kenzie656
  • 05-10-2020
  • Mathematics
contestada

T is between S and U ST = X-6, SU = 10 units, and TU = 2x - 8. Find the length of ST.
8
2
5​

T is between S and U ST X6 SU 10 units and TU 2x 8 Find the length of ST825 class=

Respuesta :

ricchad
ricchad ricchad
  • 05-10-2020

Answer:

B.  ST = 2

Step-by-step 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

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