A side of the triangle below has been extended to form an exterior angle of 127°. Find the value of x.
17°
xº
127°

x = 53°

Step-by-step explanation:

x + 127° = 180° (sum of angles on a straight line/supplementary angles)

Subtract 127 on both sides

x + 127 - 127 = 180 - 127 (subtraction property of equality)

x = 53°

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation:

the answer is 128