Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Step 1
Find the length of MD
we know that
The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle
so
In this problem
------> is the radius of a circle inscribed inside the triangle
we have that
therefore
Step 2
Find the length of DC
we know that
In the right triangle MDC
Applying the Pythagoras theorem
we have
substitute
its y= -2/3x + 22/3
if you look below at the graph you can see the black line which is C goes right through the point (2,6)
i wanted to clear any confusion because the other answer isnt correct :)!
<h3>
Answer: Approximately 35.54 degrees</h3>
=============================================================
Explanation:
With respect to reference angle x, the 5 is the opposite side, and the adjacent side is 7 units long.
We'll use the tangent ratio here
tan(angle) = opposite/adjacent
tan(x) = 5/7
x = arctan(5/7)
x = 35.5376777919743 approximately
x = 35.54
I rounded to two decimal places, but you can round however you need to or however your teacher instructs. Arctangent is the same as inverse tangent. Be sure that your calculator is in degree mode.
