Let AM be the distance between point A and the right wall and AN be the distance between A and the left wall.
Δ AMB is an isosceles right triangle and Δ ANC is half of an equilateral triangle.
Length of AM = 30 m. Length of AN = 1/2 · 80 = 40 m.
The distance between the walls is:
30 m + 40 m = 70 m.
2.45 cm= 1 in. so 100 cm must equal 39.37 in. because you already know 2.45 cm equals 1 inch and 1 metre equals 100 cm and 1 metre is equal to 39.37.
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




40% of 65.00=0.40×65=26
65-26=39(your price)
sales tax(5%)=0.05×39=1.95 tax
39+1.95
=40.95(total)
Answer:
Angle Addition Postulate
Step-by-step explanation:
Given:

Prove:

Proof:
1.
- Angle Addition Postulate
2.
- given
3.
- given
4.
- Substitution Property of Equality
5.
- Simplify