1. find the value of x and y

2. find the value of x and y

explain

Step-by-step explanation:

Look at the pictures.

1.

We have the triangle 30° - 60° - 90°. The sides are in proportion 1 : √3 : 2.

Therefore:

2.

We have the triangle 30° - 60° - 90°. The sides are in proportion 1 : √3 : 2 and the triangle 45° - 45° - 90°. The sides are in proportion 1 : 1 : √2.

Therefore:

The common side of the green and pink triangle also has a length of x = 15.

Let the other side of the green triangle be marked with z.

Then:

         multiply both sides by √3

       divide both sides by 3

(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

p

step-by-step explanation: