Answer:
C
Step-by-step explanation:
Answer:
C. x = 3, y = 2
Step-by-step explanation:
If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.
Thus:
x + 3 = 3y (eqn. 1) => equal hypotenuse
Also,
x = y + 1 (eqn. 2) => equal legs
✔️Substitute x = y + 1 into eqn. 1 to find y.
x + 3 = 3y (eqn. 1)
(y + 1) + 3 = 3y
y + 1 + 3 = 3y
y + 4 = 3y
y + 4 - y = 3y - y
4 = 2y
Divide both sides by 2
4/2 = 2y/2
2 = y
y = 2
✔️ Substitute y = 2 into eqn. 2 to find x.
x = y + 1 (eqn. 2)
x = 2 + 1
x = 3
The volume of the ball is 33.5 cubic centimeter.
<u>Step-by-step explanation:</u>
It is given that, a ball has a radius of 8 cm.
We know that, the ball is in shape of the sphere.
The question is asked to find the volume of the ball.
To find the volume of the ball, you need to use the formula for volume of the sphere.
Volume of the sphere = (4/3)πr³
where,
- π has the default value of 3.14
- r is the radius of the ball.
Volume of the ball = (4/3)× 3.14× 8
⇒ 33.49
⇒ 33.5 (rounded to the nearest tenth)
⇒ 33.5 cubic centimeter.
∴ The volume of the ball is 33.5 cubic centimeter.
