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
It would be D. because the volume of a sphere is 4/2 x pi x radius^3.
Answer:
Step-by-step explanation:
I think you are just asking for the decimal answers.
3/20 = 0.15
9/50 = 0.18
38/200 = 0.19
I would say that it would be less than. The question says Jenn shared a total of 40 jellybeans equally and to share with others, Jenn would have to divide the jellybeans among her friends. Since she is dividing the jellybeans, the amount each friend gets would be less than the total. Therefore it would be less than 40.
x = 2(180 - x) - 12
3x = 348
x = 116
The measure of the angle is 116 degrees.
