If ∠P measures 27°, q equals 6.0, and r equals 7.2, then which length can be found using the Law of Cosines?

We can find side RQ

Step-by-step explanation:

In order to use the Law of Cosines:

-Two sides and the angle between them must be given to find the third side

-All three sides must be given to find an angle

In this case we are given two sides(q and r) and we are given angle P which is between them. Using this information we can come to the conclusion that side RQ is the length we can find.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2