Janet is designing a frame for a client. she wants to prove to her client that m∠1 = m∠3 in her sketch. what is the missing justification in the proof?
segment cd intersects segment ab, creating angles 1, 2, 3, and 4.
statement justification
segment cd intersects segment ab given
∠1 + ∠ 2 = 180°
∠ 2 + ∠3 = 180°
∠1 + ∠ 2 = ∠ 2 + ∠3 transitive property
∠1 = ∠3 subtraction property
definition of supplementary angles
intersecting lines postulate
same-side interior angles theorem
vertical angles theorem

(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

this is a good question! i’ll do some research and what i find, i’ll contact you asap when i have something! ✊