Choose the best answer. Which statement is always true? A. A kite is a trapezoid B. A parallelogram is a rectangle C. A trapezoid is a parallelogram D. A square is a rhombus

Determine if each statement is sometimes, always, or never true. Explain your reasoning or provide a counterexample. Through any three points, there is exactly one plane.

Tell whether each statement is sometimes, always, or never true. Support your answer with a sketch. A scalene triangle is an obtuse triangle.

Determine whether each statement is always, sometimes, or never true. The diagonals of a parallelogram are perpendicular.

Which of the following figures is NOT a parallelogram? F. square G. trapezoid H. rhombus I. rectangle

Find the error(s) in the following code:

class findErrors //Line 1
{ //Line 2
    friend int operator * (const int & a,
        const int & b); //Line 3
    //Returns the object containing the
    //product of the corresponding instance
    //variables of the objects a and b of
    //findError.
    public: //Line 4
        findErrors(int = 0, int = 0); //Line 5
    private: //Line 6
        int first; //Line 7
    int second; //Line 8
}; //Line 9
double findErrors::operator * (const findErrors & a,
    const findErrors & b) //Line 10
{ //Line 11
    findErrors temp; //Line 12
    temp.first = first * b.first; //Line 13
    temp.second = second * b.second; //Line 14
    return temp; //Line 15
} //Line 16

Determine whether the statement is always, sometimes, or never true. A parallelogram is a rectangle.

State whether each statement is always true, sometimes true, or never true. Use sketches or explanations to support your answers. The diagonals of a parallelogram are congruent.

The altitude to the hypotenuse of a right triangle divides the hypotenuse into two segments. One segment is three times as long as the other. If the altitude is 12 mm long, what are the lengths of the two segments?

Which statement is not true about all parallelograms? A. Opposite angles are congruent. B. Consecutive angles are supplementary. C. Diagonals perpendicularly bisect each other. D. Opposite sides are congruent.

Find

$$g(f(x))$$

where $f(x)=5x-1$ and $g(x)=3x+2$.

Use a table of integrals to determine the following indefinite integrals. These integrals require preliminary work, such as completing the square or changing variables, before they can be found in a table.

$$\int \frac { \sqrt { \ln ^ { 2 } x + 4 } } { x } d x$$

Evaluate the line integral R C F· dr, F(x, y) = xy2 i−x 2 j and C is given by the vector function r(t) = t 3 i + t 2 j, for 0 ≤ t ≤ 1.

A symbolic association between a fungus and an alga or cyanobacterium is a. a. mycorrhizza. b. fruiting body. c. lichen. d. mushroom.