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3 years ago

12

One machine can make 138,800 small paper clips in one day. Another machine can make 84,250 large paper clips in one day. How man

y more small paper clips than large paper clips are made by the two machines in one day?

1 answer:

Savatey [412]3 years ago

7 0

138,800 - 84,250= 54,550

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Given:

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To find:

(a) Equation to solve the value of x.

(b) The value of x.

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Solution:

(a)

We have,

$m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.$

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$m\angle A+m\angle B+m\angle C+m\angle D+m\angle E+m\angle F =270^\circ$

$90^\circ+126.87^\circ+(3x)^\circ+90^\circ+143.13^\circ+143.13^\circ =270^\circ$

$90+126.87+(3x)+90+143.13+143.13 =720$

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(b)

On solving the above equation, we get

$593.13+3x =720$

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Divide both sides by 3.

$x =\dfrac{126.87}{3}$

$x =42.29$

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(c)

We need to find the measure of angle C.

$m\angle C=(3x)^\circ$

$m\angle C=(3\times 42.29)^\circ$

$m\angle C=126.87^\circ$

Therefore, the measure of angle C is 126.87 degrees.

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