Well, if I were to come up with a real world situation that would involve finding the area of a circle then I think that a good real world situation would be finding the area of a circular sandpit.
The HL (hypotenuse leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
Step-by-step explanation:
AE is congruent to itself.
AB is congruent to DE
<ADE and <EBA are right angles, making them right triangles
Therefore ADE is congruent to EBA by the HL theorem.
A represents the speed of the aircraft.
b represents the speed of the bus.
a=2b-5
114/b=218/a
Substitution method
114/b=218/(2b-5)
(2b-5)*(114/b)= 218
(228b-570)/b = 218
228b-570= 218b
228b-218b=570
10b= 570
b=57
Plug the value of b into one of the original equations.
a=2(57)-5
a=114-5
a=109
Final answer:
Average speed of plane= 109
Average speed of bus= 57
Answer:
102
Step-by-step explanation:
x = 180 - (4x - 2) - 78
x = 180 - 4x + 2 -78
5x = 180 + 2 - 78
5x = 104
x =
.
So, angle UTW is 4 *
- 2 +
= 5 *
- 2 = 104 - 2 = 102