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2 years ago

9

PLEASE SOMEONE HELP ME

2 answers:

kow [346]2 years ago

7 0

Answer:

1/5 is not greater than 2/7 because 1/5 = 7/35 and 2/7 = 10/35.

MArishka [77]2 years ago

4 0

Answer:

$\frac{1}{5}$ is less than $\frac{2}{7}$ because $\frac{1}{5} = \frac{7}{35}$ and $\frac{2}{7} = \frac{10}{35}$

Step-by-step explanation:

To compare two fractions one has to convert them to a common denominator (number underneath the fraction bar). This can be done by finding the LCM (least common multiple) of the two denominators, and then multiplying the numerator and denominator of each respective fraction such that the fraction's denominators are the same. Now all one has to do is compare the numerators, the numerator with a greater value indicates that the fraction is larger.

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Answer:

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Since ΔAPB and ΔAQC are equilateral triangles, this means that:

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Likewise:

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Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

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Since ∠QAC ≅ ∠PAB:

$m\angle PAC=m\angle QAC+m\angle BAC$

And by substitution:

$m\angle PAC=m\angle QAB$

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