Find the other endpoint of the line segment with the given endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).

The other endpoint is at  ( − 4 , 3 )

Explanation:

The line segment passing through  ( − 4 , 9 )  and  ( − 4 , 6 )

is a vertical line with the midpoint  3

units below the first point.

The other endpoint must be  3

further units below the midpoint i.e. at  ( − 4 , ( 6 − 3 )

Step-by-step explanation:

C. (2x + 16) + (x) = 180°

Step-by-step explanation:

See attachment for the cyclic quadrilateral

One theorem of cyclic quadrilateral states that; opposite angles = 180°

In the attachment, the angle opposite B is D

Where B = x

D = 2x + 16

From the theorem stated above;

B + D = 180°

Substitute the values of B and D in the formula above

x + 2x + 16 = 180

From the list of given options, the correct answer is C