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Y_Kistochka [10]
3 years ago
6

Which of the following statements could be used in the proof?

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0

Answer:

Option (3)

Step-by-step explanation:

To prove ΔULV ≅ ΔKLY,

                 Statements                    Reasons

1). VL ≅ LY                                1). Radii of a circle are equal

2). UL ≅ KL                              2). Radii of a circle are equal

3). ∠ULV ≅ ∠KLY                    3). Vertical angles are equal

4). ΔULV ≅ ΔKLY                    4). SAS property of congruence

Therefore, property (3) given in the options will be used to prove the triangles congruent.

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Find all values of x for which the series converges. (enter your answer using interval notation. ) [infinity] (4x)n n = 1
andreyandreev [35.5K]

The series converges to  1/(1-9x) for -1/9<x<1/9                  

Given the series is  ∑ 9x^{n} x^{n}

We have to find the values of x for which the series converges.

We know,                

∑ ar^{n-1}    converges to  (a) / (1-r) if r < 1

Otherwise the series will diverge.

Here, ∑ (9x)^{n} is a geometric series with |r| = | 9x |

And it converges for |9x| < 1

Hence, the given series gets converge for -1/9<x<1/9

And geometric series converges to a/(1-r)

Here, a = 1 and r = 9x

Therefore, a/(1-r) = 1/(1-9x)

Hence, the given series converges to   1/1-9x  for  -1/9<x<1/9

For more information about convergence of series, visit

brainly.com/question/15415793

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8 0
1 year ago
2 dived by 440 eplain please
dimulka [17.4K]
2/440              Original Mathematical Expression.

1/220               Divide numerator and denominator by 2.

This equals . . .

0.004545454545 repeating

(I just plugged 1/220 into calculator)

Final Answer: 1/220 or 0.004545454545 repeating
6 0
2 years ago
What is percent of change $50 to $65
zzz [600]
You would do percent of change.
meaning you would subract 65 and 50 to get 15. then you would put 15 over 50 (as a fraction) then equals r/100. then you would cross multiply to get r.

orginal:50
new:65
65-50=15

15/50=r/100
15r=5000
then divide by 15 to get r
4 0
2 years ago
Jaila went to the butcher and bought 2.42 pounds of ground beef, ¾ pound of bacon, and 3 pork chops that each weigh .36 of a pou
kirill [66]

Answer: 4.25 pound of meat

Step-by-step explanation:

This is a addition questions, all you have to do is to add the numbers together. But you have to convert all the fractions and decimal to the same thing first. In this case, I'll convert all the fraction to decimal.

2.42 + 0.75 + 0.36  ✕ 3 = 4.25 pound

7 0
2 years ago
Algebra 2 help!!!!!!
Elza [17]
Yes here multiply takes place not divide
7 0
2 years ago
Read 2 more answers
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