#1 30
#2 150
#3 110
#4 60
#5 2x+50+3x=180
combine like terms
5x+50=180
subtract 50 from both sides
5x=130
divide both sides by 5 to isolate the variable
x=26
#5 3x=3(26)=78
#6 2x+50=2(26)+50=102
#7 AGE and CHG, AGH and CHF, EGB and GHD, HGB and FHD
#8 AGE and FHD, CHF and EGB
Answer:
104°
Step-by-step explanation:
If segments NO and NM are congruent, then angles NMO and NOM are congruent. So, their supplements, angles NML and NOP are congruent. That is ...
∠NML ≅ ∠NOP = 104°
∠NML = 104°
If the cubes are rolled independently, and assuming any face on the cube is as likely to occur as any other, then there is a 1/6 probability of rolling a 6, and rolling a 6 on both simultaneously is 1/6 * 1/6 = 1/36.