The dimensions of a standard tennis court are 36 ft. × 78 ft. with a net that is 3 ft. high in the center. The court is modified for players aged 10 and under such that the dimensions are 27 ft. × 60 ft., and the same net is used. Use similarity to determine if the modified court is similar to the standard court. Try to dilate the modified court to make it the same size as the standard court. The dilation factor for the width is . The dilation factor for the length is . Based on similarity, the modified court
is
similar to the standard court.

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

(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

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"