The rectangle shown has length AC = 32, width AE = 20, and B and F are midpoints of AC and AE , respectively. The area of quadrilateral ABDF is

Option A.

Step-by-step explanation:

Given question is incomplete: please find the question in the attachment.

Area of quadrilateral ABDF = Area of AECD - Area of ΔBCD - Area of ΔDEF,

Since, area of AECD = (AC × AE)

Area of ΔBCD =

Area of ΔDEF =

= (AC × AE) -

= (32 × 20) -

= 640 - 160 - 160

= 640 - 320

= 320 square unit

Therefore, Option A is the correct option.

days of the week

step-by-step explanation:

javier earned more money then kyle, so that won't always be a constant term, but the days of the week do not change so that term is always constant.

edit: i meant

(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