Question

If ST = x + 8, TU = 6x, and SU = 15, what is TU?

Answer 1

we have that

SU=ST+TU -----> by addition segments postulate

substitute given values

15=(x+8)+6x

solve for x

15=7x+8

7x=15-8

7x=7

x=1

so

TU=6x

substitute the value of x

TU=6(1)

TU= 6 units