Select the property of equality used to arrive at the conclusion. if x = 4, then 5x = 20
a)the multiplication property of equality
b)the division property of equality
c)the addition property of equality
d)the subtraction property of equality

The property used "Multiplication property of equality"

A is correct

Step-by-step explanation:

Given: If x = 4, then 5x = 20

We are given an equation x=4

We need to make 5x=20

The coefficient of x in first equation is 1 but in second equation is 5.

So, If we multiply both sides by 5 in x=4 equation

Multiplication property of equality

Hence, The property used "Multiplication property of equality"

(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

answer: correct

step-by-step explanation: