3 years ago

Help me out please!!

Mathematics

1 answer:

STALIN [3.7K]3 years ago

5 0

Answer:

the answer is M,L,N

N is a 90 degree angle, M is an 30 degree angle, and L is a 60 degree angle

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c. $\dfrac{2}{3}$

Step-by-step explanation:

Let the common ratio be r.

$a_2 = \dfrac{2}{5}$

$a_3 = \dfrac{2}{5}r$

$a_4 = \dfrac{2}{5}r^2$

$a_5 = \dfrac{2}{5}r^3$

We are told that $a_5 = \dfrac{16}{135}$ .

$\dfrac{2}{5}r^3 = \dfrac{16}{135}$

$\dfrac{5}{2} \times \dfrac{2}{5}r^3 = \dfrac{5}{2} \times \dfrac{16}{135}$

$r^3 = \dfrac{8}{27}$

$r = \sqrt[3]{\dfrac{8}{27}}$

$r = \dfrac{2}{3}$

Answer: c. $\dfrac{2}{3}$

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