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Sav [38]
3 years ago
15

An angel measures 51 degrees. Through what fraction of a circle does the angel turn?

Mathematics
1 answer:
Georgia [21]3 years ago
4 0
Remember, a circle has 360 degrees. Therefore, an angle of 51 degrees would be 51/360 of a circle.

HOWEVER, both the numerator and denominator can be simplified by a factor of 3.

51 / 3 = 17

360 / 3 = 120

Therefore, the final fraction is 17/120.
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In the figure, ∠6 and ∠3 are ...
konstantin123 [22]

Answer:

They're supplementary angles AND same-side interior angles.

7 0
2 years ago
An office that dispenses automotive license plates has divided its customers into categories to level the office workload. Custo
grigory [225]

Answer:

UNIF(2.66,3.33) minutes for all customer types.

Step-by-step explanation:

In the problem above, it was stated that the office arranged its customers into different sections to ensure optimum performance and minimize workload. Furthermore, there was a service time of UNIF(8,10) minutes for everyone. Since there are only three different types of customers, the service time can be estimated as UNIF(8/3,10/3) minutes = UNIF(2.66,3.33) minutes.

6 0
3 years ago
Determine if the two figures are congruent and explain your answer using transformations.
IRISSAK [1]

Answer:

Comparing each pair of lines,

AB and EF,

BC and FG,

CD and GH,

DA and HE.

For, AB and EF,

If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.

Also, we can use the formula, for the distance between two points on a coordinate plane,

,

As we can see in the image,

A = (-1, 1),

B = (-3, 2),

C = (-4, 4),

D = (-2, 6),

E = (2, 0),

F = (4, 1),

G = (5, 3),

H = (3, 5),

Solving using the formula,

AB = EF = √5,

BC = FG = √5,

CD = GH = √8,

DA = HE = √26,

Therefore, the length of all the sides of the polygon are the same,

Hence, the two figures are congruent.

Step-by-step explanation:

7 0
2 years ago
each student must do 14 hw problems. there are 23 students in the class, how many problems will your teacher have to grade? who
lys-0071 [83]
The teacher would have to grade 322 problems

14 (problems) x 23 (students)
Answer: 322
6 0
3 years ago
A toy car has a mass of 2 kg and a speed of 6 m/s. How much kinetic energy does it have?
lutik1710 [3]

Answer:

A.40 J

Step-by-step explanation:

K. E. Is 1/2 multiply by mass x velocity square

M is 5kg, v is 4m/s

1/2 x5x4x4 equals 40joules.

3 0
2 years ago
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