Answer:
329/9, the answer seems wrong but I triple checked because I thought so too. The answer is 100% correct
Step-by-step explanation:
Angle EFG + Angle FGH + Angle GEF = 180 degrees
(2x+1) + (6x+2) + (x + 19) = 180 degrees
9x + 22 = 180 degrees
9x = 158 degrees
x= 158/9
x+19 = Angle GEF
158/9 + 19 = Angle GEF
329/9 =Angle GEF
Double check:
(2x+1) + (6x+2) + (x + 19), x=158/9
2(158/9) + 1 = 325/9
6(158/9) +2 = 322/3
(158/9) +19 = 329/9
325/9 + 322/3 + 329/9 = 180
Answer:
It is 39 cupcakes.
Since he charges $2 per cupcake (39), it is 78.
He makes profit so subtract 30 from 78 and you get $48.
Answer:
z = 61
Step-by-step explanation:
The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:
z + z - 11 = z + 50
Add like terms, which would be the 2 "z's" on the left side:
2z - 11 = z + 50
Then subtract the z on the right side from both sides:
2z - 11 = z + 50
-z -z
___________
z - 11 = 50
Add 11 to both sides:
z - 11 = 50
+ 11 +11
________
z = 61
