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3 years ago

Abcd and efg are parallel lines. BC=CF. Angle BFE=70°. work out the size of angle x with reasons

Mathematics

1 answer:

g100num [7]3 years ago

8 0

CBF = BFE (interior angles)
CBF = CFB = 70° (isosceles triangle, BC = BF)
CBF + CFB + BCF = 180° (summation of all angles in a triangle always equals 180°)
so we have : 70° + 70° + x = 180°
so x= 40°

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Step-by-step explanation:

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2 years ago

A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gi

inessss [21]

Answer:

$\frac{1429}{120}$ or $11\frac{109}{120}$

Step-by-step explanation:

Given:

A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gives 7 peaches to a 5th person.

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We need to find the original number of peaches in the basket.

The farmer gives the total number of peaches = $\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7$

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$x = \frac{120}{120}(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7)$

$x = \frac{1}{120}(\frac{120}{3}+\frac{120}{4}+\frac{120}{5}+\frac{120}{8}+7\times 120)$

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$x = \frac{1}{120}(949)$

$x = \frac{949}{120}$

We add the remaining peaches by given peaches for the original number of peaches in the basket.

Original number of peaches = $\frac{949}{120}+4$

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Original number of peaches = $11\frac{109}{120}$

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3 years ago

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