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barxatty [35]
4 years ago
6

M angle ABF=(7x+20)^ ,m angle FBC=[2x-5)^ and m angle ABC=159^ , find the value of x.

Mathematics
1 answer:
Margarita [4]4 years ago
6 0

Answer:

19 1/3°

Step-by-step explanation:

Given the expressions ABF=(7x+20)° m angle FBC=[2x-5)° and m angle ABC=159°

The addition properties is there fore true for the three angles;

<ABC = <ABF+<FBC

159 = 7x+20+2x-5

159 = 9x-15

Add 15 to both sides

159+15 = 9x-15+15

174 = 9x

9x = 174

Divide both sides by 9

9x/9 = 174/9

x = 19 1/3°

The value of x is 19 1/3°

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Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

y =-3x^2 + 12x - 33

Required

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First, write out the leading coefficient

Leading = -3

-3 < 0 means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

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Where:

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So, we have:

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<em>Hence, the maximum is -21.</em>

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