Pls help and show workings due ASAP

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

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.