Answer:
x = 11
Step-by-step explanation:
By using angle bisector theorem,
"Bisector of an angle divides the opposite side of the angle into two segments such that they are proportional to the other two sides.


8(x - 4) = 4(x + 3)
8x - 32 = 4x + 12
8x - 4x = 32 + 12
4x = 44
x = 11
Therefore, value of x is 11.
Answer:
6 units
Step-by-step explanation:
Use the distance formula,
.
Plug the x and y values from the given points into the distance formula:
.
Solve the square root:
=
= 
The slope is -2/1.
Rise/Run.
Down 2/ Left 1. Because it’s going down, put a negative.
X = number of students who are members.
<span>19-x is the number of people who are not members.</span> x number of people paid $11 for tickets and (19-x) number of people paid $13.$11x+$13(19-x)=$209 for the total cost of the tickets.
$11x+ $247-$13x=$209 $11x-13x = $209 - $247
$-2x = $-38
divide -2 by both sides
x=19, meaning that all of the students are members.