Plz !
there is a certain infinite geometric series whose first term and common ratio are both real numbers, each of whose terms is the cube of the first series’ terms, is 1. obtain the common ratio of the first series.

The common ratio of the first G.P. series will be the cube root of the common ratio of the second G.P. series.

Step-by-step explanation:

Let us assume that the first series has first term a and the common ratio r and  is given by  

a, ar, ar², ar³, ......... up to infinite terms

It is given that the terms of the second series are a cube of the corresponding terms of the first series.

So, the second series is up to infinite terms.

So, it is clear that the second series is a G.P. series with first term a³ and common ratio r³.

Therefore, the common ratio of the first G.P. series will be the cube root of the common ratio of the second G.P. series. (Answer)

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step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.