What is the value of x?
enter your answer as a decimal in the box. round only your final answer to the nearest tenth.

Step-by-step explanation:

It looks like you are going to be using the sign law. Luckily, the givens are in the form of ASA where the side is between the two given angles.  

The very first thing you should do is find W.

W + 81 + 30 = 180. Every triangle = 180 degrees. Combine the left.

W + 111 = 180 Subtract 111 from both sides.

W+111-111 = 180-111 Combine

W = 69

The second thing to do is to set up the sine law.

Equation

19/Sin(W) = x/Sin(30)

Givens

Sin(69) = 0.939958

Sin(30) = 0.5

Solution

19/0.939958 = x/0.5 Multiply both sides by 0.5

19*0.5 / 0.939958 = x

9.5 / 0.939958 = x

10.1758

Answer

x = 10.2

Notes

1. There are all kinds of ways to set up the sine law. It is a proportion. For example it can be set up as Sin(W)/19 = Sin(30)/x but this requires that you do an extra step, and in math you want to avoid any extra steps.

2. There are other ways of doing the question, but they all come back to the sine law. For example, you could find WV from the sine law. That would mean sin(69) / 19 = Sin(81)/WV but that involves 2 or 3 extra steps.  

3. The way I have done it is the simplest and most straight forward way.

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed