Given the figure what is the value of x show your work

what is the measure of angle f show your work

51 + 3x+5 = 107

Simplify the left side:

3x + 56 = 107

Subtract 56 from both sides:

3x = 51

Divide both sides by 3:

x = 51 / 3

x = 17

Angle F and the outside angle of 107, need to equal 180 degrees.

F - 180 - 107 = 73 degrees.

answer: 38.47 is your answer

step-by-step explanation: hope i you and who ever sees this answer have a great rest of your day : )

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)