Answer:
1. SE = 94
2. SN + WE = 320
Step-by-step explanation:
1. Given:
ST= 5x+2 and ET = 3x+20
ST and ET is congruent.
5x+2 = 3x + 20
5x - 3x = 20 - 2
2x = 18
x = 9
SE = ST + ET
= (5x+2) + (3x+20)
=(5(9)+2) + (3(9) + 20)
= 47 + 47
= 94
2. Given:
SN =4x+20 and WE = 6x-50
The opposite sides of a parallelogram os congruent. SN and WE is one of opposite side of parallelogram. Hence, SN and WE is congruent.
SN = WE
4x+20 = 6x -50
6x - 4x = 20 + 50
2x = 70
x = 35
SN = 4x + 20
= 4(35) + 20
= 160
WE = 6x - 50
= 6(35) - 50
= 160
SN + WE = 160 + 160 = 320
