Answer:
rachael is 35 and sarah is 32.
Step-by-step explanation:
For a better understanding of the solution given here please go through the diagram in the file attached.
To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."
Thus, in our question, we will have:

The above equation can be rearranged as:
...(Equation 1)
If we have a proper look at the denominator which is
, we note that in
, 
Thus, (Equation 1) wil give us:

<u>Therefore, LB= 12 feet</u>
Answer:
y-3=2(x-1)
Step-by-step explanation:
So it looks like your line goes through (2,5) and (1,3) based on what you have said.
Looking at 5 to 3, that is down 2.
Locking at 2 to 1, that is left 1.
So the slope is -2/-1 =2/1=2.
Plug in the (x1,y1)=(1,3) and slope=m=2.
So using point slope form we have y-3=2(x-1).
The first choice does NOT represent a function
Step-by-step explanation:
the x vaules in the first two ordered pairs (2), each have a different y value which makes it nonfunctional :)
<h3>Solving for the measurements of Complementary Angles</h3><h3>
Answer:</h3>
and 
<h3>
Step-by-step explanation:</h3>
Recall that Angles that are complementary to each other add up to
.
Let
be the measure of the complementary angle.
If an angle is
more than its complementary angle, the measure of that angle is
. The sum of both angles are expressed
but since the have to add to
as they are complementary,
.
Solving for
:

Since the other angle measures
, we can plug in the value of
to find the measure of the angle.
Evaluating
:

The measure of the angles are
and 