The sum of the measures of three adjacent angles is 150°. The measures of the angles are in the ratio of ​1:2:3. What is the measure, in degrees, of the largest angle? The measure of the largest angle is degrees.

14•4°

step by step explanation:

ratio=1:2:3=6

angles in degree=150°

6/150°×360°(simplify)

6/5°×12°

=72°/5°

=14•4°

The largest angle=14•4°

Thanks hope it helps

(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