Answer:
Step-by-step explanation:
ASA (Angle-Side-Angle) is a proof of congruence that states if two triangles share two angles and the side between those two angles, the triangles are congruent. In problems 1 and 2, the following demonstrate this:
In problem 3, 
is known in geometry as the Reflexive Property. Because of this, the two triangles in the diagram for problem 3 now share two angles and the side between them, thus they are congruent from ASA (Angle-Side-Angle).
So just find circumference is
circumfernce=2pir or pid
so diameter 2.5 ft
just for this problem aprox pi=3.14 so
c=pid
c=3.14(2.5)
c=7.85
a. 7.85 ft
b. how many times revolution till one mile (5280)
so
7.85 times x revolutions=5280
divide both sides b y7.85
x revolutions=672.61
round up so we complete the mile (about how many times..)
673 is the answer
a. 7.85 ft
b. 673 times
angle D = 92°
Step-by-step explanation:
Since the two figures are congruent.
angle D = angle K
20x + 12 = 25x - 8
5x = 20
x = 4
Substituting this value into angle D, we see that
angle D = 20x + 12
= 20(4) + 12
= 92°
