Answer:
Arc BC = 117°
Step-by-step explanation:
Angle D is an inscribed angle that intercepts arc ABC. According to the Inscribed angle theorem of a circle, m<D = ½ of arc ABC.
Thus,
104° = ½(AB + BC)
104° = ½(91° + BC)
Multiply both sides by 2
104*2 = 91 + BC
208 = 91 + BC
Subtract both sides by 91
208 - 91 = BC
117 = BC
Arc BC = 117°
Answer:
C = -4
Step-by-step explanation:
First, combine like terms (terms with the same amount of variables):
14 = -2C - 3C - 6
14 = (-2C - 3C) - 6
14 = (-5C) - 6
Isolate the variable, C. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and equals:
Parenthesis
Exponents & Roots
Multiplication
Division
Addition
Subtraction.
First, add 6 to both sides:
14 (+6) = -5C - 6 (+6)
14 + 6 = -5C
-5C = 20
Next, divide -5 from both sides:
(-5C)/-5 = (20)/-5
C = 20/-5
C = -4
-4 is your value for C.
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Answer:
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Step-by-step explanation:
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Answer:
<h2>(-5, 3)</h2>
Step-by-step explanation:

Answer: 17 patients stayed for longer than 10 minutes.
Step-by-step explanation:
Let x represent the number of patients that stayed for longer than 10 minutes.
The doctor charges $21.80 for consultations that last less than 10 minutes and $27.50 for those that last longer than 10 minutes. Yesterday the doctor earned $1077.90. If 28 consultations lasted less than 10 minutes, it means that
28 × 21.80 + x × 27.50 = 1077.90
610.4 + 27.5x = 1077.9
27.5x = 1077.9 - 610.4
27.5x = 467.5
x = 467.5/27.5
x = 17