Mei draws three pairs of parallel lines that are each intersected by a third line. in each figure, she measures a pair of angles. what is a reasonable conjecture for mei to make by recognizing a pattern and using inductive reasoning? a. when a pair of parallel lines are intersected by a third line, the alternate interior angles are congruent. b. when a pair of parallel lines are intersected by a third line, the alternate interior angles are acute. c. when a pair of parallel lines are intersected by a third line, all of the angles formed are obtuse. d. when a pair of parallel lines are intersected by a third line, all of the angles formed are congruent.

When a pair of parallel lines are intersected by a third line, the alternate interior angles are congruent.

Step-by-step explanation:

Given: Mei draws three pairs of parallel lines that are each intersected by a third line. In each figure, she measures a pair of angles.

Let us draw a pair of parallel lines which is intersected by line .

From the figure,

and          (Alternate interior angles are equal as )

Therefore, When a pair of parallel lines are intersected by a third line, the alternate interior angles are congruent.

Hence, the correct option is .

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he spend 5.1 minutes chatting with his friends

step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5 1/10

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.