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blondinia [14]
3 years ago
10

What is the measure of

Mathematics
1 answer:
stepan [7]3 years ago
7 0

Answer:

Angle A is 37 degrees, Angle B is 82 degrees, Angle C is 61 degrees

Step-by-step explanation:

Exterior angles are the supplement of interior angles, so subtract 143 from 180 to find Angle A.

180 - 143 = 37

All angles add up to 180.

37 + 61 = 98

180 - 98 = 82

Angle B is 82 degrees.

Hope this helped. :)

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What is 3 1/4 + 5 1/2 (they are fractions by the way)
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The answer is 8 3/4,hope Ive helped xx
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3 years ago
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The 102nd floor of the sears tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground . How many yards
nevsk [136]

Answer:

477 yards

Step-by-step explanation:

1 foot to a yard is 0.333333.

1431 times 0.333333=477yards

4 0
4 years ago
Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving
Ad libitum [116K]

Answer:

1. The total distance will be equal to 20 miles plus the remaining distance which would be obtained when you multiply the speed to time t. The equation would be written as follows:

120 = 20 + 50t

2. The minimum time would be 0 hours. The maximum time is when the total distance of 120 is fully covered.

t ≤ (120 - 20)/50

t ≤ 2 hours

Thus, the domain would be 0 < t ≤ 2.

Step-by-step explanation:

6 0
3 years ago
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What is the simplified form of the quantity 12 z–squared minus 7z minus 12 over the quantity 3 z–squared plus 2z minus 8
loris [4]
The most important part of this problem is reading the problem carefully and then solving it. Most of the required information's are already given in the question. Let us now focus on the problem in hand.

(12z^2 - 7z -12)/(3z^2 + 2z - 8) = [12z^2 - 16z + 9z - 12]/[3z^2 + 6z - 4z - 8]
                                                  = [4z(3z - 4) + 3(3z - 4)/[(3z(z + 2) -4(z + 2)]
                                                  = [(4z + 3)(3z - 4)]/(z + 2) (3z - 4)]
                                                  = (4z + 3)/(z + 2)
The above deduction is the simplified form. I hope that this is the answer that has come to your desired help.
5 0
3 years ago
A box of crayons has 12 different coloured crayons in it. 4 crayons are given to one
k0ka [10]

Answer:   34,560

Step-by-step explanation:

Total crayons of different color = 12

Total children = 3

Each child will get 4 crayons.

Number of combinations of selecting <em>r</em> things out of <em>n</em> things = ^nC_r=\dfrac{n!}{r!(n-r)!}

The number of ways of selecting the first 4 crayons for first child = ^{12}C_4=\dfrac{12!}{4!(12-4)!}=\dfrac{12\times11\times10\times9\times8!}{(24)\times 8!}\\\\=495

Colors left = 12-4 =8

Now, the again selecting 4 colors out of 8 for second child = ^{8}C_4=\dfrac{8!}{4!(8-4)!}=\dfrac{8\times7\times6\times5\times4!}{(24)\times4!}=70

Colors left =4

Number of ways of selecting 4 colors out of 4 for third child  =1

Total number of ways = 495 x 70 x 1 = 34650   [By fundamental principle of counting]

Hence, the total number of ways = 34,560.

7 0
4 years ago
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