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4 years ago

What is the difference between complementary, supplementary and vertical angles?

2 answers:

5 0

Complementary angles are two or more angles whose sum is 90 degrees.
Supplementary angles are two or more angles whose sum is 180 degrees.
Vertical angles are formed by the intersection of two lines. Vertical angles are always congruent. Think of an X as two intersecting lines. The lines created 4 angles. The top and bottom angle are vertical to each other and the right and left are vertical to each other.

Mama L [17]4 years ago

4 0

Complementary add up to 90 degrees while supplementary add up to 180 degrees

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Robinson Middle School has 540 students. 25% of the students play a sport. How many students do not play a sport?

Stells [14]

Answer:

Step-by-step explanation:

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3 years ago

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A property contained ten acres. How many lots of not less than 50 feet by 100 feet can be subdivided from the property if 26,000

NemiM [27]

Answer:

81 lots of 5,000 square feet fits in the property.

Step-by-step explanation:

The first step is calculate the square feet of the minimum area:

$50 \: feets \times 100 \: feet = 5,000 \:square \: feet$

Second, from the ten acres we subtract the 26,000 feets of roads:

$1 \: acre = 60 \: feet \times 660\:feet = 43,560\:square\:feet\\43,560 \times 10 = 435,600\\435,600 - 26,000 = 409,600 \:square \: feet\:available$

Third, we divide the lot area over the available square feet

$\frac{409,600}{5,000} = 81.92$

81 lots of 5,000 square feet fits in the property.

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4 years ago

a bookstore took in$ 167 on the sale of 5 copies of a new cookbook and 3 copies of a new novel the next day it took in $ 89 on t

PSYCHO15rus [73]

I am going to use C to represent cookbook and N to represent N. I find that easier to remember which is which.

Day 1: 5C + 3N = 167

Day 2: 3C + 1N = 89

We need to solve one of these equation for either the C or N. I always choose the easiest one! Day 2 looks like the one.

3C + 1N = 89 (I am doing to solve for N because we won't have a fraction)

1N=89-3C

N=89-3C

Now we take this solution for N and put it into our first equation.

5C + 3(89-3C) = 167 (We need to distribute)

5C + 267 - 9C = 167 (Use subtraction to move C values to the right and numbers to the left)

267-167 = 9C-5C

100 = 4C

25 = C $25 for the Cookbooks.

Now, we have to go back and solve for N by putting $25 in for C in the second equation.

N=89-3(25)

N=89-75

N=14 dollars for each novel.

Check by putting both back into the first equation:

5C + 3N = 167

5(25) + 3(14) = 167. It checks out!

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3 years ago

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Virty [35]

Answer:

Step-by-step explanation:

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3 years ago

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8090 [49]

Answer:

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Step-by-step explanation:

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