REASONING . Given that NPQR, MN congruent to MR and NP congruent to QR, fill in the
reasons below to prove that triangle MPQ is isosceles.

Statements
Reasons
(1) NPQR, MN congruent to MR, NP congruent to QR
(2) angle N congruent to angle R
(3) triangle MNP = triangle MRQ
(4) MP =MQ
(5) triangle MPQ is isosceles

Step-by-step explanation:

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.