Same question was posted earlier .... I repeat my answer here ...
Question (2a):
Given that sum of triangle = 180°
∠1 + ∠2 + ∠3 = 180°
∠3 = 180° - ∠1 - ∠2 ---------------- (1)
Given that sum of angles on the adjacent line = 180°
∠3 + ∠4 = 180°
∠4 = 180° - ∠3 ------------------------(2)
Sub (1) into (2)
∠4 = 180° - (180° - ∠1 - ∠2 )
∠4 = 180° - 180° + ∠1 +∠2
∠4 = ∠1 +∠2 (proven)
Question (2b):
∠4 = 52° + 25°
∠4 = 77°
The equation is 2 by 3 x -8 is equal to 4 by 8
2 X by 3 is equal to 4 + 6 all by 8
X equal to 4.2
hence the number is 4.2
•$945.64
•$4,043.04
Hope this helped
Answer:
7 $5 bills, 32 nickels
Step-by-step explanation:
Ok, so to solve this, we need to make two separate equations. If we say that x is the number of nickels, and y is the number of 5 dollar bills, adding up to $36.60, we can make the equations 0.05x + 5y = 36.60, and x + y = 39. Using substitution, we can say 0.05x + 5(39-x) = 36.60. This simplifies to 195-4.95x = 36.6. We can then say 158.4 = 4.95x, and x = 32. This means we have 32 nickels. As there are 39 total coins and bills, that means there are 7 $5 bills, and 32 nickels.
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