Answer:
The greatest possible value is 54
Step-by-step explanation:
Solve the quadratic equation
Given
x² - 5mx + 6m² = 0
We can rewrite this as
x² - 3mx - 2mx + 6m² = 0
(x² - 3mx) - (2mx - 6m²) = 0
x(x - 3m) - 2m(x - 3m) = 0
(x - 2m)(x - 3m) = 0
x - 2m = 0 or x - 3m = 0
So,
x = 2m or x = 3m .
2m and 3m are the roots of the equation.
Since one of the roots is 36
Assume
2m = 36
m = 36/2 = 18
3m is
3(18) = 54
If 3m = 36
m = 12
And
2m = 2(12) = 24.
The greatest possible value is 54
Answer:
84°
Step-by-step explanation:
Solve for n. Note that the angle measurements of a circle will equal 360°. Set all the angles = 360°.
7n + 12 + 13n - 16 + 6n = 360
Combine like terms:
(7n + 13n + 6n) + (12 - 16) = 360
26n - 4 = 360
Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. First, add 4 to both sides:
26n -4 (+4) = 360 (+4)
26n = 360 + 4
26n = 364
Next, divide 26 from both sides:
(26n)/26 = (364)/26
n = 364/26
n = 14
Next, plug in 14 for n in the angle measurement, 6n:
6n = 6(14) = 84°
Note that these are central angles, which means that the arc's will be the same measurement as the angle's measurement.
arcBC = 84°
84° is your answer.
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11.52 72×3=216x48÷100÷9= 11.52