Complete the table and pattern. determine the common difference. write the explicit rule.

the 2 blanks on the 3rd column would be 3 over 45

the blank over 56 would be 4

the blank next to 56 is 67

the one above 67 is 5

the one next to 5 would be 6

the one below 6 is 78

the one beside 78 is 89

i dont know the answer to the questions below the table.

First term = 23  Common difference = 11

Explicit rule =  11n + 12

Step-by-step explanation:

Lets find the common difference:-

d = 34 - 23 = 11

d = (56 - 34) / 2

= 22/2 = 11

this is an arithmetic sequence with common difference d = 11 and first term = 23

Explicit rule is a1 +(n - 1)d = 23 + 11(n-1)

=  11n + 12

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.