I've been stuck on this problem forever now!
provide reasons for the proof.
given: angle 2=4
and 2 and 3 are supplementary
prove: angle 1=3
statement: reason
1. 2=4 1. given
2. m2=m4 2. angle congruence postulate
3. angles 2 and 3 are supplementary 3. given
4. m2+m3=180 4. definition of supplementary angles
5. angles 1 and 4 are supplementary 5. fill in blank
6. m1+m4=180 6. definition of supplementary angles
7. m1+m4=m2+m3 7. fill in blank
8. m1+m4=m4+m3 8. fill in blank
9. m1=m3 9. fill in blank
10. 1=3 10. fill in blank

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.

take it another