Hi! ❤️ Pls help here thanksThe figure shows two parallel lines cut by a transversal. What is the value of x?

x =

Step-by-step explanation:

4x-8=124 (corresponding)

x=33

x = 33

Step-by-step explanation:

Note that there are two parallel lines cut by a transversal (given).

The two angles given are corresponding angles, meaning that there measurements will be the same. Set the equation:

124 = 4x - 8

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, add 8 to both sides of the equation:

124 = 4x - 8

124 (+8) = 4x - 8 (+8)

124 + 8 = 4x

132 = 4x

Next, divide 4 from both sides of the equation:

(132)/4 = (4x)/4

x = 132/4

x = 33

33 is your answer.

~

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