3 years ago

Convert the fraction to a decimal 7/9 a. 0.7 b. 0.8 C. 0.7777... d. 0.8888...

1 answer:

Alborosie3 years ago

4 0

Answer:

I think the answer is C, 0.7777... its 0.77777778..

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erica [24]

Answer:

Step-by-step explanation:

ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

$\dfrac{AD}{DC}=\dfrac{DC}{DB}$

We have AD = 16, DC = x, DB = 9. Substitute:

$\dfrac{16}{x}=\dfrac{x}{9}$ <em>cross multiply</em>

$x^2=(16)(9)\to x=\sqrt{(16)(9)}\\\\x=\sqrt{16}\cdot\sqrt9\\\\x=4\cdot3\\\\x=12$

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