Answer:
m = 15
Explanation:
Since ∆ABC ~ ∆QRS, this implies that the ratio of their corresponding side lengths are equal. Thus:
QR/AB = QS/AC
QR = m
AB = 10
QS = 9
AC = 6
Plug in the values
m/10 = 9/6
m/10 = 3/2
Cross multiply
2*m = 3*10
2m = 30
m = 30/2
m = 15