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enot [183]
3 years ago
7

Need help with10-12please

Mathematics
2 answers:
jek_recluse [69]3 years ago
6 0
Because someone else already answer 11 and 12, I will answer 10 :)

Supplementary means the 2 angles add up to 180 degrees. We also know that we want the angles to have a 5:4 ratio. We can set up the following:

5x+4x=180 (X represents the rate the angles increase)

9x = 180

X = 20

Now we can plug in to find the larger angle.

5(20) = Larger angle

100 degrees = Larger Angle


You can double check by plugging in the smaller angle as well and seeing if it adds to 180.

4(20) = Smaller Angle

80 = Smaller Angle.

Both Angles:
100+80= 180

So it checks out :)

I hope this helps you understand!
Ratling [72]3 years ago
5 0
Number 11 is 2
number 12 is 150
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V125BC [204]

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Help plz, show work
stepan [7]

Answer:

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Step-by-step explanation:

1.

3 :7 \\Acute \: angle = 90\°\\7+3 = 10\\\frac{7}{10} \times 90\\\\= \frac{630}{10}\\ = 63 \°\\

2.

Let \:the\: other\:acute \:angle\: be \:x\\According\:to \:the \:question ; \\ \:\\(2x-30)+x =90\\2x - 30 +x =90\\2x +x = 90+30\\3x = 120\\\frac{3x}{3} =\frac{120}{3} \\x = 40 \\\\(2x -30)\\2(40) -30\\80 - 30 = 50\\\\\\Angle \:1 = 50\°\\Angle \: 2 = 40\°\\

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Read 2 more answers
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