3 years ago

4 divided by 5 long division I need help on this please

Mathematics

1 answer:

raketka [301]3 years ago

4 0

1 with a remainder of 1

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Find the measures of supplementary angles 1 and 2, if: m∠1:m∠2=5:4 using statements and reasons.

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Answer:

Step-by-step explanation:

We know: Supplementary angles add up to 180°.

Therefore

m∠1 + m∠2 = 180° → m∠2 = 180° - m∠1 (*)

We have

$m\angle1:m\angle2=5:4\to\dfrac{m\angle1}{m\angle2}=\dfrac{5}{4}$

Substitute (*):

$\dfrac{m\angle1}{180^o-m\angle1}=\dfrac{5}{4}$ cross multiply

$4m\angle1=5(180^o-m\angle1)$ use the distributive property

$4m\angle1=(5)(180^o)+(5)(-m\angle1)$

$4m\angle1=900^o-5m\angle1$ add 5m∠1 to both sides

$9m\angle1=900^o$ divide both sides by 9

$m\angle1=100^o\to m\angle2=180^o-100^o=80^o$

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