Answer:
The correct answer is B. x ≈ 4.5, y = 5, z = 9
Explanation:
1. We will use the Pythagorean theorem for solving for x, this way:
x² = 6² - 4²
x² = 36 - 16
x² = 20
x = √20
x = 2 √5 = 4.47 ≈ 4.5
2. For solving for y, we will do it this way:
There are only two possible options: y = 5, included in answer B or y = 9 as it is defined on answer C.
If we review it carefully, we will realize that y = 9 is not accurate because as we can see in the graph y + 4 = z and in this specific case, 9 + 4 ≠ 5 but it's true that 5 + 4 = 9.
Because of this reason, the correct answer is B. x ≈ 4.5, y = 5, z = 9