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Crazy boy [7]
3 years ago
14

The supplement of an angle is 3 times the complement of an angle.

Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0
Let’s says that x is the measure of the angle. X and it’s supplement are equal to 180. X and it’s complement are equal to 90. The supplement is s and the complement is c. S is times c which is the same as 3c.

3c + x = 180

C+x = 90
X = 90 - c

3c + 90 - c = 180
2c = 90
C = 45

The complement of. 45 degree angle is 45 degrees.

The angle is 45 degrees.
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Question 4 of 5 Mr. Gomez has two kinds of fruit in his basket. The ratio of apples to oranges in the basket is 2:5. If there ar
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Answer: B. 35

Step-by-step explanation: The ratio of apples to oranges is 2:5. That means for every 2 apples there will be 5 oranges.

We want to know how many total pieces of fruit will be in the basket where there are 10 apples.

Lets use the ratio to get the total number of fruits when we have 10 apples.

2:5 there is 2 apples when there is 5 oranges;

4:10 there is 4 apples when there is 10 oranges;

6:15 there is 6 apples when there is 15 oranges;

8:20 there is 8 apples when there is 20 oranges;

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Answer:

B. The expected values are 32 for both ones and sixes, and 8 for twos, threes, fours and fives.

Step-by-step explanation:

Probability is a likely hood of an event happening in the statement the probability of getting 1 or 6 after rolling the die is 4 times more than getting the other 4 numbers i.e. 2,3,4, 5  

Total roll of die 96  

Expected outcome from the roll

Probability of getting #1 = 1/3 = 4/12      ∴96 x 4/12 = 32

Probability of getting #2 = 1/12     ∴96 x 1/12 = 8

Probability of getting #3 = 1/12      ∴96 x 1/12 = 8

Probability of getting #4 = 1/12          ∴96 x 1/12 = 8

Probability of getting #5 = 1/12   ∴ 96 x 1/12 = 8

Probability of getting #6 = 1/3 = 4/12  ∴96 x 4/12 = 32

The expected values are 32 for both ones and sixes, and 8 for twos, threes, fours and fives.

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