That's of course the 30/60/90 right triangle.
If you need to see the algebra, the acute angles in a right triangle are complementary, adding to 90 degrees:
x + 2x = 90
3x = 90
x = 30
Answer:
It should be 4. The ratio that AC is equal to DE at should be equal to the ratio of BE to BC. If you want an explanation I'd be happy to add one!
Answer:
x = 2, x = 8
Step-by-step explanation:
reminder that f'(x) = 
Differentiate f(x) term by term using the power rule
(a
) = na
f(x) =
x³ - 5x² + 2x + 10
f'(x) = x² - 10x + 2
Equating f'(x) to - 14
x² - 10x + 2 = - 14 ( add 14 to both sides )
x² - 10x + 16 = 0 ← in standard form
(x - 2)(x - 8) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 8 = 0 ⇒ x = 8