When two parallel lines are cut by a transversal, which statement is true?
the same side interior angles are congruent.
the corresponding angles are supplementary.
the alternate interior angles are congruent.
the alternate exterior angles are supplementary.

The alternate interior angles are congruent.

Step-by-step explanation:

The alternate interior angles are obtained when a transversal passes through any two lines.

The angles obtained on opposite sides of the transversal and at the interior of the two lines are known as alternate interior angles.

Also, the alternate interior angles theorem  says that when two parallel lines are cut by a transversal , then the resulting alternate interior angles are congruent .

Hence, the correct option is "The alternate interior angles are congruent."

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.