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Anestetic [448]
3 years ago
5

I Need help with question 21 and 22 !

Mathematics
1 answer:
USPshnik [31]3 years ago
7 0
11) First, add 74 and 43.

74+43=117

Subtract 117 from 180. Do this because this will give you the value of angle 1. This is because the sum of the angles in a triangle will always add up to 180 degrees.

180-117=63

Angle 1 = 63 degrees

Angle 2 also equals 63 degrees, because they are vertical angles.

Angle 2= 63 degrees

Now, add 63 and 79

63+79=142

Subtract 142 from 180

180-142=38

Angle 3 = 38 degrees

12)

First, subtract 56 from 180. Do this to find angle C. They are supplementary angles, so they will equal 180 degrees.

180-56=124

Angle C=124 degrees

Now, add 124 and 20

124+20=144

Finally, subtract 144 from 180

180-144=36

The measure of angle A is 36 degrees

Hope this helped! :)


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1 year ago
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well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

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\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x


so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended  up as 27.90 + 20 = 47.90.

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\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}

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