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:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: