Question

Pls help and show workings due ASAP

Answer 1

Answer:

x is 5

ST is 45

Step-by-step 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