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3 years ago

Triangle EFG is congruent to triangle JKL. What is KL, in units?

Mathematics

1 answer:

Alexxx [7]3 years ago

6 0

Applying the theorem of congruent triangles, since FG = 6 units and FG and KL are congruent, therefore:

KL = 6 units

Recall:

Congruent triangles have the same shape and size.
Congruent triangles have all corresponding angles and side lengths congruent to each other.

Given that:

$\triangle EFG \cong \triangle JKL$ ,

therefore,

EF = JK

FG = KL, and

EG = JL

Thus, since FG = 6 units and FG and KL are congruent, therefore:

KL = 6 units

Learn more here:

brainly.com/question/9795907

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X+3y=10 X-5y=-2 X=? Y=?

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X+3y=10
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y = 12/8 = 3/2 = 1.5

X+3y=10
x = 10 - 3y
x = 10 - 3(1.5)
x = 10 - 4.5
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answer
x = 5.5 and y = 1.5

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Step-by-step explanation:

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a) Smoothing by bin means

Each bin has depth of 3

Dividing data into bins

so, Bin 1= 13, 15, 16

Bin 2= 16, 19, 20

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Now, smoothing data by bin mean

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Bin 2= 16, 19, 20 = (16+19+20)/3 = 18 Bin 2 = 18,18,18

Bin 3= 20, 21, 22= (20+21+22)/3 = 21 Bin 3 = 21,21,21

Bin 4= 22, 25, 25 = (22+25+25)/3 = 24 Bin 4 = 24,24,24

Bin 5= 25, 25, 30 =(25+25+30)/3 = 27 Bin 5 = 27,27,27

Bin 6= 33, 33, 35 = (33+33+35)/3 = 34 Bin 6 = 34,34,34

Bin 7 = 35, 35, 35 = (35+35+35)/3 = 35 Bin 7 = 35,35,35

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This technique is used to smooth the data. Data may have noise, using binning techniques we can remove noise from the data. It helps in providing more accurate results

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Outliers are the data that are abnormal to other data points. Outliers can be found by Box and whisker chart (box plot). Inter Quartile range can also be used to identify outliers

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Other methods of smoothing data are

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