Respuesta :

Answer:

x = 2

ST = 28

Step-by-step explanation:

Since, SM = MT ( from the diagram )

SM = x + 12

MT = 8x - 2

8x - 2 = x + 12

8x - x = 12 + 2

7x = 14

x = 14 / 7

x = 2

ST = SM + MT

= x + 12 + 8x - 2

= x + 8x + 12 - 2

= 9x + 10

= 9 ( 2 ) + 10

= 18 + 10

ST = 28

hnori22003

M is the midpoint of ST thus :

SM = MT

x + 12 = 8x - 2

Add both sides 2

x + 12 + 2 = 8x - 2 + 2

x + 14 = 8x

Subtract both sides x

x - x + 14 = 8x - x

14 = 7x

Divide both sides by 7

7x ÷ 7 = 14 ÷ 7

x = 2

_________________________

ST = SM + MT

ST = x + 12 + 8x - 2

ST = 9x + 10

ST = 9(2) + 10

ST = 18 + 10

ST = 28