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Jlenok [28]
3 years ago
6

Circle O and circle P are congruent. Given that arc AB is congruent to arc DE, what can you conclude from the diagram?

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0

Answer:

Central angle is equal in both circles

And the two triangles inscribed in circle is congruent.

Step-by-step explanation:

We have been given the two circles which are congruent O and P.

Ab is congruent to DE

So, the central angle of two circles will be equal circles being congruent.

And the two triangles AOB and EPD are congruent

Radius of the congruent circle is equal

Hence, OB=PD

             AB=DE

And ∠BOA=∠DPE

By SAS property ΔAOB ≅ΔEPD


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Solve the inequality |y – 8| + 11 ≥ 19
wel

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3 0
2 years ago
It takes two hours for two machines to manufacture 10000 parts. If machine #1 can do the job in one hour less than machine #2, h
elena-14-01-66 [18.8K]

Answer:

Time machine one = 3.56

Time machine two = 4.56

Step-by-step explanation:

Let machine 2 do the job in x hours

Let machine 1 do the job in x - 1 hours.

The general formula for this problem is

Time = A*B/(A + B)

Givens

Time = 2 hours

B = x hours alone

A = x - 1 hours alone.

#################

x *( x - 1)

======= = 2

(x + x - 1)

(x^2 - x)/(2x - 1) = 2

x^2 - x = 2(2x - 1)

x^2 - x = 4x - 2

x^2 - 5x + 2 = 0

a = 1

b = - 5

c = 2

This gives 2 roots

x = 4.56

x = 0.43

The second root will not work because when 1 is subtracted from 0.43 the time give will be minus, which won't work.

Time for machine 2 is 4.56

The time for machine 1 is 3.56

Check

(A * B)/(A + B) = 2

A = 4.56

B = 3.56

Time = 4.56*3.56/(4.56 + 3.56)

Time = 16.2336/(8.12)

Time = 1.9992

The rounding error in the check comes from the rounding error in the times.  

4 0
3 years ago
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