Find the m of
1 answer:
Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.
[23] ABD = 42°, DBC = 35°
(4x - 2) + (3x + 2) = 77°
4x+ 3x + 2 - 2 = 77°
4x+ 3x= 77°
7x= 77°
x= 11°
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ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°
DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°
[24] ABD = 62°, DBC = 78°
(4x - 8) + (4x + 8) = 140°
4x + 4x + 8 - 8 = 140°
4x + 4x = 140°
8x = 140°
8x = 140°
x = 17.5°
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ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°
DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°
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Answer:
200 muffins
Step-by-step explanation:
The selling price of each muffin = $2
The cost price of each muffin = $1.40
The price of electricity = $120
If the number of muffins that Jenny sells in a day is x, then, Jenny's total cost in a day is:
120 + (1.4 * x) = 120 + 1.4x
and the total sales earnings in a day for x muffins will be:
2 * x = 2x
To break even, the total costs in a day must equal to the total earnings. That is;
Solving this:
She must sell 200 muffins in a day to break even.