Answer:
B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a parallelogram
Explanation:
A rectangle just like a square has diagonals that bisect each other and they are congruent( two lines are congruent if they are equal). A parallelogram is a quadrilateral with parallel sides and when its diagonals intersect, they are congruent too. Therefore a rectangle with diagonals that bisect each other is not necessarily a parallelogram.
Answer: hypotenuse = 
Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side (
) of the right triangle, .i.e.:
In this question:
= 
2bc
Substituing and taking square root to find hypotenuse:
Calculating:
= 
, then:
Hypotenuse for the right-angled triangle is units
You will need three roots for this, so we have
Let x = -30, -10 and +20
So the factors will be (x+30)(x+10)(x-20)
The divide it to 100, this will help bring the peak up and down
So the polynomial function R(x) will become
1/100 * (x+30)(x+10)(x-20)
R(x) = 1/100 * (x+30)(x+10)(x-20)
Finding the X-intercept:
Let R(x) = 0 and solve for x.
1/100 * (x+30)(x+10)(x-20) = 0
x = -30, -10, 20 are the x-intercepts.
1\5 pound of trail mix because 1 pound divided to\by 5 people is 1\5.
So, each person gets 1\5 pound trail mix
