Do we have enough information to say that m//n? Why? No, not enough information

Yes, Converse of Corresponding Angles Postulate

Yes, Converse of Alternate Interior Angles Postulate

Yes, Converse of Alternate Exterior Angles Postulate

Yes, Converse of Consecutive Interior Angles Postulate

Option (1)

Step-by-step explanation:

From the picture attached,

Lines 'm' and 'n' are the parallel lines and 'r' is a transversal line intersecting these lines at two distinct points.

Therefore, both the angles will be congruent by the property of corresponding angles postulate.

By the converse of corresponding angles postulate,

If these angles are congruent then both the lines (m║n) will be parallel.

Option (1) will be the answer.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.