Can someone plz answer this and help me with some other ones

 Proof B is good  

Step-by-step explanation:

Proof  C is missing. It may be correct if it is simpler:

The angles are vertical angles. Vertical angles are congruent. (Theorem)

If ∠OPN is 90° defined as a right angle, ∠ LPM is also a right angle

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.

a. she will receive a refund of $278.

step-by-step explanation: