Answer:
x = 5.7 to the nearest tenth
Step-by-step explanation:
The triangles can be rotated as shown in the attached, to show that triangle STR is similar to triangle CBD.
Their similarity ratio:
CB / ST = DC / RS
60 / 70 = 50 / 11x - 4
6 / 7 = 50 / 11x - 4
Multiply both sides by the LCM = 7(11x - 4)
6(11x - 4) = 7 × 50
66x - 24 = 350
66x = 350 + 24
66x = 374 Divide both sides by 66
x = 374 / 66
x = 5.6667
x = 5.7 to the nearest tenth
