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soldier1979 [14.2K]
3 years ago
15

Find the missing angles for each problem, given that lines a and b are parallel (step by step)

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

1) 40°

2) 140°

3) 140°

5)40°

6)140°

7)140°

8)40°

Step-by-step explanation:

1 = 40 °        <em>  [Vertically Opposite angles are equal]</em>

8 = 40 °         <em>[Corresponding Angles are equal]</em>

5 = 8 = 40°  <em> [Corresponding Angles are equal]</em>

7 = 180° - 40° = 140°      <em>[Supplementary angles sum 180°]</em>

6 = 140°           <em> [Vertically Opposite angles are equal]</em>

2 = 140°            <em>[Corresponding Angles are equal]</em>

3 = 140 °          <em> [Vertically Opposite angles are equal]</em>

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Monica sells lemonade over the summer and uses conical paper cups to serve
Alina [70]

Answer: She would need 206 paper cups.

Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.

Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;

Volume of a cone = (πr²h)/3

Volume of a cone = (3.14 * 4² * 11)/3

Volume of a cone = 552.64/3

Volume of a cone = 184.2

If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;

Number of cups = Total volume/Volume of a cup

Number of cups = 37850/184.2

Number of cups = 205.48

Rounded to the nearest whole number, this becomes

Number of cups ≈ 206

Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.

4 0
4 years ago
Someone please help
Nookie1986 [14]

Answer:

<D=<N

Step-by-step explanation:

Corresponding angle, both in third digit, others are in different digits.

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3 0
3 years ago
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IgorC [24]
D. 42/8

You can get this by adding the blueberry and banana amounts together. Then multiply by 6. 
5 0
3 years ago
HELP ME PLEASE I WILL GIVE BRAINLEST HELP
ahrayia [7]

Answer:

Which one you need me to answer

Step-by-step explanation:

8 0
3 years ago
Everett drove his motorcycle 16 miles in 4/5 of an hour. If he continue to drive at this rate how many miles would he drive in a
Elenna [48]

Answer:

20 miles in an hour.

Step-by-step explanation:

4/5=0.8

16/0.8=x/1

cross product

0.8*x=16*1

0.8x=16

x=16/0.8

x=20

4 0
3 years ago
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