Find the missing angle

If this is a parallelogram:

∠y = 112°

corners opposite the 112° corners = 68°      [(360° - 112° - 112°)/2 = 68°]

∠z = 68° - 40° = 28°

∠x = ∠z = 28°

x = 28°, y = 112°, z = 28°

Step-by-step explanation:

suppose it's a parallelogram,

in a parallelogram, opposite angles are congruent: y = 112°

40 + 112 + x = 180

=> x = 28°

If 2 lines are cut by a transversal, then the alternate interior angles are congruent: x = z => 28° = z

found it xd it ok yt

(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