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taurus [48]
3 years ago
11

Show that it is not possible for the lengths of the

Mathematics
1 answer:
xeze [42]3 years ago
7 0
1. Check the picture below.

2. By the well known intersecting secants property: AO*OC=BO*OD

3. Since the segments are assumed to be consecutive integers, AO, OC cannot be the smaller, and neither can AO<BO and OC<OD. 
The only possibility is that the multiplication of the smallest to the largest is equal to the multiplication of the middle 2.

4. For example : 4*5=2*10, we must have 4>2 but 5<10

Here the ordering is 2<4<5<10, similarly assume BO<AO<CO<DO

5. since the segments are of consecutive integers length, let them be 

BO=n, AO=n+1, CO=n+2, DO=n+3

6. AO*CO=BO*DO

so n(n+3)=(n+1)(n+2)
     n^{2}+3n=  n^{2}+3n+3
     so 0=3 which makes no sense, so no solution with the assumed conditions.

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4 0
3 years ago
Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to
Ratling [72]

Answer: point estimate = 3.88

Margin of error = 0.63

Step-by-step explanation:

Confidence interval is written in the form,

(Point estimate - margin of error, Point estimate + margin of error)

The sample mean, x is the point estimate for the population mean. Let m represent the margin of error. Since the confidence interval is given as (3.25 , 4.51), it means that

x - m = 3.25

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Adding both equations, it becomes

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x = 7.76/2

x = 3.88

Substituting x = 3.88 into x + m = 4.51, it becomes

3.88 + m = 4.51

m = 4.51 - 3.88

m = 0.63

8 0
2 years ago
Please help me I can’t figure it out
dezoksy [38]

Answer:

its C.

Step-by-step explanation:

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3 years ago
What is 6,940 x 500?
cupoosta [38]

Answer:

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3 0
3 years ago
Read 2 more answers
Can somebody please help me figure this out?
Vera_Pavlovna [14]

Answer: You would put the 35° and the 4x+7° equal to each other.

Step-by-step explanation:

    1. 4x+7=35  

    2. 4x+7=35   -> Subtract 7 from the positive 7 and the 35

           -7     -7

    3. 4x=28       -> Divide 4x and 28

    4. x=7

5 0
3 years ago
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