What is the measure of arc AD?

Angle ABD measures (4x + 10). Angle ACD measures

(5x - 2)

GO

116°

Step-by-step explanation:

Given that :

∠ ABD measures (4x + 10)

∠ ACD measures  (5x - 2)

Then

∠ABD = ∠ACD  ( rule : angle by same chord AD )

∠ABD =   (4x + 10)°

∠ACD =   (5x - 2)°

so we can as well say that :

(4x + 10)° = (5x - 2)°

4x - x = -10 -2

- x = - 12

x   = 12

∠ABD = (4x + 10)°

= ( 4 × 12 + 10)°

= 58°

∠ACD = (5x - 2)°

= ( 5 * 12 - 2)°

= 58°

∠AOD = 2∠ABD = 2∠ACD   ( since angle by arc AD at  center is  twice the  angle by same arc AC in other arc segment)

 ∠AOD =  2 × 58°

∠AOD = 116°

Measure of arc AD = 116°

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

answer: -8.2562234e+13