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Alinara [238K]
3 years ago
13

Kesia knows that 1/4=0.25. Explain how she could use this fact to determine the decimal equivalent of 5/8

Mathematics
2 answers:
STatiana [176]3 years ago
4 0
She knows that
0.25 =  \frac{1}{4}  =  \frac{2}{8}
\frac{5}{8}  =  \frac{2}{8}  +  \frac{2}{8}  +  \frac{1}{8}  = \\ 0.25 + 0.25 +  \frac{0.25}{2} =   \\ 0.25 + 0.25 + 0.125 = 0.625
castortr0y [4]3 years ago
3 0

Answer:

0.625

Step-by-step explanation:

We are given that

Kesia knows =\frac{1}{4}=0.25

We have to determine the decimal equivalent to \frac{5}{8} using given decimal value.

\frac{5}{8} can be written as

\frac{5}{8}=\frac{2}{8}+\frac{2}{8}+\frac{\frac{1}{4}}{2}

\frac{5}{8}=\frac{1}{4}+\frac{1}{4}+\frac{\frac{1}{4}}{2}

\frac{5}{8}=0.25+0.25+\frac{0.25}{2}

\frac{5}{8}=0.50+\frac{0.25}{2}

\frac{5}{8}=0.625

Hence,[tex]\frac{5}{8}=0.625/tex]

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Answers:

x = 72

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============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

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For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

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---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

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The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

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