What is the missing reason in step 3? a 2-column table with 6 rows is shown. column 1 is labeled statements with entries measure of angle t r v = 60 degrees and measure of angle t r x = (4 x) degrees, angle t r s and angle t r v are a linear pair, measure of angle t r s + measure of angle t r v = 180, 60 + 4 x + 180, 4 x =120, x = 30. column 2 is labeled reasons with entries given, definition of a linear pair, question mark, substitution property of equality, subtraction property of equality, division property of equality. substitution property of equality angle addition postulate subtraction property of equality addition property of equality

B

Step-by-step explanation:

i just took the test

Step-by-step explanation:

Let w represent the width of the floor. Then the length of the floor is (w+4) and its area is ...

  A = LW

  525 = (w+4)(w)

  w^2 +4w -525 = 0

  (w -21)(w +25) = 0 . . . . factor the above

Solutions are ...

  w = 21, w = -25

We are interested in the positive solution: w = 21.

The floor is 21 feet wide and 25 feet long.

Alternate solution

Sometimes, when the factors aren't obvious, it works well to write an equation for the average of the dimensions. Here, we can represent that with x, and use (x-2) for the width, and (x+2) for the length. Then we have ...

  525 = (x-2)(x+2) = x^2 -4

  529 = x^2

  √529 = 23 = x

Then w=23 -2 = 21, and the length is w+4 = 25.