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




Answer:
C
Step-by-step explanation:
1/4--1/2=0.75
This is less than 2 which you get from 1/2 times 2 which =1
1+1=2
When the longer strip is on top and the litter strips fit perfectly under the longer one. For example, the fraction 1/3 and 3/6. One longer strip will be on the top representing 6. Then 3 litter 3s will be under that perfectly
Answer:
72miles
Step-by-step explanation:
So, the ration is 17:3, you know that. Therefore, the change from # of students to the 17 is the same change as # teachers to 3. Knowing this, you also know that the total # of people ihas the same change as the total ratio. So 17+3 = 20. 740/20 = 37. So the change is 37. 3x37= 111 17x37=629
You can check to make sure this answer is correct by adding the two final numbers. 111+629 = 740. (Some find it easier to see lined up really pretty)
17 -- 3 total 20
x -- y total 740
Or, if you are visual, look at the picture I drew: