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
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hope this helps
The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = 2x – 41
Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.
Then the correct option is C.
More about the domain and range link is given below.
brainly.com/question/12208715
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