All of the statements except the first are true whether p ║ q or not.
The appropriate choice is ...
... ∠2 ≅ ∠6
_____
The "corresponding angles postulate" tells you that the lines are parallel if the corresponding angles are equal.
Answer:
the equality shown is : x is greater than or equal to -3.
If the banana costs 10 dollars and you give 11 dollars, you have paid 110 percent of the cost.
Answer:
d
Step-by-step explanation:
formula for area of a triangle is base * width * 1/2
Answer:
500
Step-by-step explanation:
It's a box with a square base, so let's say the width and length are x and the height is y.
The surface area of the box without the top is:
A = x² + 4xy
300 = x² + 4xy
The volume of the box is:
V = x²y
Solve for y in the first equation and substitute into the second:
y = (300 − x²) / 4x
V = x² (300 − x²) / 4x
V = x (300 − x²) / 4
V = 75x − ¼ x³
To optimize V, find dV/dx and set to 0:
dV/dx = 75 − ¾ x²
0 = 75 − ¾ x²
x = 10
So the volume of the box is:
V = 75x − ¼ x³
V = 500
The maximum volume is 500 cm³.
