Determine the values of the variables in the parallelograms below me

Part 1)

Part 2)

Step-by-step explanation:

we know that

In a parallelogram opposite sides and opposite angles are congruent, and consecutive angles are supplementary

Part 1)

Find the value of x

----> opposite sides are congruent

solve for x

Find the value of m

----> consecutive angles are supplementary

solve for m

Part 2)

Find the value of x

---> opposite sides are congruent

using a graphing tool

see the attached figure N 1  

The solutions are

Find the value of m

---> opposite sides are congruent

solve for m

using a graphing tool

see the attached figure N 2  

The solutions are  

step-by-step explanation:

my gg bhitch

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