x = 58°
<u>Explanation:</u>
According to the diagram, lines HI and JK are parallel to each other.
∠AHI = 60°
∠JKI = 62°
∠JKI and ∠HIA are equal because when two lines are parallel then the corresponding angles are equal.
So,
∠JKI = ∠HIA = 62°
In ΔHIA,
∠AHI + ∠HIA + ∠IAH = 180°
60° + 62°+ x = 180°
122° + x = 180°
x = 180° - 122°
x = 58°
Answer:
Step-by-step explanation:
y = -3x² + 24x - 50
factor out leading coefficient
y = -3(x² - 8x) - 50
complete the square
coefficient of the x term: -8
divide it in half: -4
square it: (-4)² = 4²
use 4² to complete the square and keep the equation balanced:
y = -3(x² - 8x + 4²) + 3(4²) - 50
y = -3(x-4)² - 2
Answer:
6
Step-by-step explanation:
because 36 is a perfect square root.
Answer:
2(x) +4 = 6
2(x) +4 -4 = 6 - 4
2x = 2
2x/2 = 2/2
x = 1
Step-by-step explanation:
