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
x = r sin θ cos Ф
x² = r² sin² θ cos² Ф
y = r sin θ sin Ф
y² = r² sin² θ sin² Ф
z = r cos θ
z² = r² cos² θ
x² + y² + z²
= r² sin² θ cos² Ф + r² sin² θ sin² Ф + r² cos² θ
= r² sin² θ (cos² Ф + sin² Ф) + r² cos² θ
= r² sin² θ + r² cos² θ
= r² (sin² θ + cos² θ)
= r² √
Answer:
f(-3) =16
Step-by-step explanation:
f(x) = -5x + 1
f(-3) means let x=-3
Substituting x=-3 into the equation
f(-3) = -5 (-3) +1
Multiplying -5 and -3
f(-3) = 15+1
f(-3) =16
Answer: 
Step-by-step explanation:
For this exercise it is necessary to remember the following:
1) The Distributive Property states the following:
2) The multiplication of signs:
Knowing this, and having the following expression given in the exercise:
You can apply the Distributive property multiplying 
and 
, which are inside the parentheses, by 
.
So, you get the following result:
