Geometry math question no guessing and show work you

THe midpoint Theorem states:

The lines joining the midpoint of any two sides of a triangle is parallel to the third side and is half of it

In the given triangle The length of line joining the midpoints is 39 .This will be half of the third side that is

We can form an equation:

Multiplying both sides by 2

Adding 3 both sides

Taking root of both sides:

n=9

Option D is right

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.