A) C + A = 630
B) 2C + 5A = 2,910 Multiplying A by -2
A) -2C -2A = -1,260 Then adding it to B
B) 2C + 5A = 2,910
3A = 1,650
A = 550
A) C + 550 = 630
Children's tickets = 80
Given:
The volume of the sphere = 12348π in³
To find the radius of the sphere.
Formula
The volume of a sphere of radius r is
According to the problem,
Eliminating π from both the side.
or, 
or, 
or, 
or, ![r=\sqrt[3]{9261}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B9261%7D)
or, 
Hence,
The radius of the sphere is 21 inches.
Answer:
The method would use to prove that the two Δs ≅ is AAS ⇒ D
Step-by-step explanation:
Let us revise the cases of congruence:
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
- HL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ
In the given figure
∵ The two triangles have an angle of measure 30°
∵ The two triangles have an angle of measure 70°
∵ The two triangles have a side of length 10
∴ The two triangles have two equal angles and one equal side
→ By using rule 4 above
∴ The two triangles are congruent by the AAS rule
∴ The method would use to prove that the two Δs ≅ is AAS
