If the measure of angle GEF is thirteen less than five times measure of angle DEG and measure of of DEF = 149 degrees, find measure of angle GEF

122 degrees

Step-by-step explanation:

Find the diagram attached. From the diagram;

<DEG + <GEF = <DEF

If the measure of angle GEF is thirteen less than five times measure of angle DEG, this is expressed as;

<GEF = 5<DEG - 13

Substitute

<DEG + <GEF = <DEF

<DEG +  5DEG - 13 = <DEF

6<DEG - 13 = <DEF

6<DEG - 13 = 149

6<DEG = 149 + 13

6<DEG = 162

<DEG = 27

Since <GEF = 5<DEG - 13

<GEF = 5(27) - 13

<GEF = 135-13

<GEF = 122 degrees

Hence the measure of angle GEF is 122degrees

answer: 12

step-by-step explanation:

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