Aparallelogram has one angle that measures 50°. what are the measures of the other three angles in the parallelogram?

130°, 50°, 130°

Step-by-step explanation:

Two opposite angles of parallelogram are always congruent, so the measure of angle opposite to the angle 50° is 50° too.

Two consecutive angles of parallelogram always are supplementary (add up to 180°), so the angle consecutive to the angle 50° has the measure of

180° - 50° = 130°

Angle opposit to 130° angle has the measure of 130° too.

(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