Answer:
x is 5
ST is 45
Explanation:
In the given figure
∵ m is the bisector of the segment SU
→ That means m intersects SU at the midpoint of SU
∵ m ∩ SU at point T
∴ T is the midpoint of SU
→ The midpoint of a segment divides it into two equal parts
∵ The point T divides SU to ST and TU
∴ ST = TU
∵ ST = 9x
∵ TU = 4x + 25
→ Equate them
∴ 9x = 4x + 25
→ Subtract 4x from both sides
∵ 9x - 4x = 4x - 4x + 25
∴ 5x = 25
→ Divide both sides by 5
∴ x = 5
→ Substitute the value of x in ST
∵ ST = 9(5) = 45
∴ ST is 45