If the ratio of two consecutive exterior angles are 11:7, the supplement of the larger angle will be <u>70 degrees</u>.
The larger angle and the smaller angle are supplementary to each other since they are consecutive exterior to one another.
If the larger angle is x, therefore:
Ratio of Larger angle to smaller angle = 11:7
11x + 7x = 180 degrees
18x = 180
x = 10
Larger angle = 11x = 11(10) = 110 degrees
Smaller angle = 7x = 7(10) = 70 degrees
The supplement of the larger angle, 110 degrees, is <u>70 degrees.</u>
In summary, if the ratio of two consecutive exterior angles are 11:7, the supplement of the larger angle will be <u>70 degrees</u>.
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You can find the critical numbers by finding the derivative of the function and solving for 0.
F(x) = x(4/5)(x-6)(2) = x(8/5)(x-6) = (8/5)(x^2 - 6x)
Taking the derivative:
F'(x) = (8/5)(2x - 6)
F'(x) = 0 at x = 3,
critical number = 3
Answer:
36
Step-by-step explanation:
