In the figure, QUAD is a quadrilateral. QUAD is “enclosed” by the rectangle RECT. This means that each vertex of QUAD is on a side of rectangle RECT. Segment QA is parallel to two of the sides of the rectangle. The length of QA is 18 and the length of EC is 13. What is the area of QUAD?

hey

Step-by-step explanation:

because that’s us why

(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