Answer:
ΔDAE
Step-by-step explanation:
Complementary = 90°
ΔBAC has a right angle, which makes it 90°. Since ΔDAE also has a right angle, it would be complementary to ΔBAC.
Answer:
4x² + 9y² + 12x - 18y - 12xy + 9
Step-by-step explanation:
Given
(2x - 3y + 3)² = (2x - 3y + 3)(2x - 3y + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x - 3y + 3) - 3y(2x - 3y + 3) + 3(2x - 3y + 3)
Distribute the 3 parenthesis
= 4x² - 6xy + 6x - 6xy + 9y² - 9y + 6x - 9y + 9 ← collect like terms
= 4x² + 9y² + 12x - 18y - 12xy + 9
The value of x is
and 
Step-by-step explanation:
The equation is 
Subtracting by
on both sides,

Taking LCM,

Multiplying by 3x on both sides,

Dividing by (-) on both sides,

Using quadratic formula, we can solve for x.

Taking out common term 2, we get,

Thus, the value of x is
and 
When more offspring than can survive are produced, it is called overproduction. Variation among these offspring exists. The offspring with variations more suited to their environments will be more likely to survive.