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Sloan [31]
3 years ago
9

Find the measures of all four angles if 3·(m∠1+m∠3) = m∠2+m∠4.

Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

Answer:

Step-by-step explanation:

m∠1=m∠3

m∠2=m∠4

3*(m∠1+m∠3)=m∠2+m∠4

3*(m∠1+m∠1)=m∠2+m∠2

3×2 m∠1=2 m∠2

m∠2=3 m∠1

now m∠1+m∠2=180°

m∠1+3 m ∠1=180

4 m∠1=180

m∠1=180/4=45°

m∠3=45°

m∠2=180-m∠1=180-45=135°

m∠4=135°

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Hope this helps!

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3 years ago
Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each r
Margarita [4]
Hey there! I am on the same one. :) I will help you out a little. 

<span>Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each roll? 
• 1: 1/6
• 2: 2/6
• 3: 3/6
• 4: 4/6
• 5: 5/6
• 6: 6/6
</span>
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</span><span> <span><span> <span> <span>1st toss=</span>6</span> </span> <span> <span> <span>2nd toss=</span>4</span> </span> <span> <span> <span>3rd toss=</span>6</span> </span> <span> <span> <span>4th toss=</span>6</span> </span> <span> <span> <span>5th toss=</span>3</span> </span> <span> <span> <span>6th toss=</span>3</span> </span> <span> <span> <span>7th toss=</span>4</span> </span> <span> <span> <span>8th toss=</span>2</span> </span> <span> <span> <span>9th toss=</span>6</span> </span> <span> <span> <span>10th toss=</span>5</span> </span> <span> <span> <span>11th toss=</span>1</span> </span> <span> <span> <span>12th toss=</span>4</span> </span> <span> <span> <span>13th toss = </span>5</span> </span> <span> <span> <span>14th toss =</span>1</span> </span> <span> <span> <span>15th toss=</span>4</span> </span> <span> <span> <span>16th toss=</span>2</span> </span> <span> <span> <span>17th toss=</span>2</span> </span> <span> <span> <span>18th toss=</span>2</span> </span> <span> <span> <span>19th toss=</span>6</span> </span> <span> <span> <span>20th toss=</span>5</span> </span> <span> <span> <span>21st toss=</span>3</span> </span> <span> <span> <span>22nd toss=</span>4</span> </span> <span> <span> <span>23rd toss=</span>3</span> </span> <span> <span> <span>24th toss=</span>3</span> </span> <span> <span> 25 toss=5
How many results of 1 did you have? __2____________ How many results of 2 did you have? ____4__________ How many results of 3 did you have? ____5__________ How many results of 4 did you have? ______5________ How many results of 5 did you have? ______4________  How many results of 6 did you have? ______5________
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</span><span>Have a lovely day! Cheerio. :) </span></span> </span> </span></span>
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Answer:

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