Answer:
25π ≈ 78.5 cm squared
Step-by-step explanation:
Area of circle= πr²
Substitute: π(5)²
Solution: 25π or about 78.5 cm²
The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.
The side length of this triangle is 2/√3 times the altitude, so the area is
... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)
... Area = 48√3 in² ≈ 83.1384 in²
Answer:
45 miles
Step-by-step explanation:
Jimenez drives 3/10 of the distance: (3/10)(150 miles) = 45 miles.
Mr. Robertson drives 2/5 of the distance: (2/5)(150) = 60 miles.
These two people drive 105 miles total.
Mr. Weatherly drives the rest: (150 miles - 105 miles) = 45 miles.
3x + 7 > 4x + 3
subtract 3x from both sides
7 > x + 3
7 - 3 > x
x < 4
Answer:
Step-by-step explanation:
If we take the below diagram for the given triangles, then ∠B=∠E and ∠A=∠G if AB=GE or if BC=EF, then corresponding angles will be equal.
Therefore, if we rotate the diagram, then also the angles will remain the same.
