PLEASE HELP ITS MATH This triangle has one side that lies on an extended line segment. Based on this triangle, what statement about x is true? A. x = 27 because 180−109−44=27 B. x = 65 because 109−44=65 and 44 + 65 = 109 C. x = 71 because 180−109=71 D. x = 153 because 109 + 44 = 153 and 153−44=109

MEASUREMENTS (down below)

A triangle with base on an extended line. Two angle measures are given. Top interior angle is forty-four degrees. Lower right exterior angle is one hundred nine degrees. Lower left interior angle is labeled x degrees.

B. x = 65 because 109−44=65 and 44 + 65 = 109

Step-by-step explanation:

Given :

The triangle below :

Sum of interior angles of a triangle :

(44° + x + (180 - 109) = 180°

44° + x + 71° = 180

115° + x = 180°

x = 180° - 115°

x = 65°

42

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1