(20 points to best answer) complete the two-column the proof by writing the appropriate reason for each statement.

Please find the attached file.

Step-by-step explanation:

We have been provided a diagram and asked to complete two-column proof.

We are given that line segment JL is congruent to line segment KM. By definition of congruence

By segment addition postulate and .

After substituting JK+KL and KL+LM in our equation we will get .

Subtraction property of equality states that we can subtract same number from both sides of an equation. Subtracting KL from both sides of equation we will get .

Therefore, by definition of congruence line segment JK is congruent to Line segment LM.  

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

c

step-by-step explanation: easy math