Answer:
The first pair.
Step-by-step explanation:
3 corresponding parts must be congruent for two triangles to be congruent. The first pair has 3 congruence markings; two angles and one side are congruent. Additionally, they are congruent by the ASA postulate because two angles and the included side are congruent.
Answer:
Ten added to the difference of six and four. Or, the difference of six and four added to ten.
Step-by-step explanation:
Set up a system of equations:
s = 2d - 5
s + d = 43
Where 's' represents the number of points Stilt scored and 'd' represents the number of points Dunk scored.
Plug in 2d - 5 for 's' in the 2nd equation:
s + d = 43
2d - 5 + d = 43
Combine like terms:
3d - 5 = 43
Add 5 to both sides:
3d = 48
Divide 3 to both sides:
d = 16
Plug this back into any of the two equations to find 's':
s + d = 43
s + 16 = 43
Subtract 16 to both sides:
s = 27
So Dunk scored 16 points and Stilt scored 27 points.
Vco = 1/3×πr2h
Vcy = Vco --> πr^2×h = 1/3πR^2×h
h's cancel, as well as π's
r^2 = 1/3R^2 --> R^2 = 3r^2 -->
SR (R^2) = SR (3r^2)
R = SR(3)×r
