The center of the circle is G. Below is a student's work to find the value of x. Explain the error and find the correct value of x.

The error are

1) The use of the angle addition postulate, for

2) The assumption that = 90°

The vertical angle property between   and should be used to find 'x'

x = 5

Step-by-step explanation:

From the drawing of the circle, we are given;

AD = A diameter of the circle

∴ = 180°

By angle addition postulate, we have;

= + +

By substitution property of equality, we have;

180° = + +

= 5·x°

= Not given

= 15·x°

However;

is the vertically opposite angle to

∴   = = (16·x - 5)°

= 15·x° = (16·x - 5)°

15·x° = (16·x - 5)°

∴ 5 = 16·x° - 15·x° = x

x = 5

= 180° - ( + ) = 180° - (15·x° + 5·x°) = 180° - (20·x°)

= 180 - (20×5)° = 80°

 = 80°

The error are the use of the angle addition postulate, for , and the assumption that = 90° rather than the vertical angle property between   and in trying to find 'x', from which x = 5.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

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step-by-step explanation: