Please help it's too late for this

12.125

Step-by-step explanation:

Angles 10x - 22 and 6x + 8 are linear pair.

10x - 22 + 6x + 8 = 180

10x + 6x + 8 - 22 = 180

16x - 14 = 180

16x = 180 + 14

16x = 194

x = 194 / 16

= 97 / 8

x = 12.125

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week