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3 years ago

Plz help Problem is in the picture

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

5 0

Answer:

∠BME = 116°

Step-by-step explanation:

Given MD is the angle bisector of ∠BME, then

∠BMD = ∠DME ← substitute in expressions

6x - 8 = 4x + 14 ( subtract 4x from both sides )

2x - 8 = 14 ( add 8 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

∠BME = ∠BMD + ∠DME = 6x - 8 + 4x + 14 = 10x + 6, hence

∠BME = (10 × 11) + 6 = 110 + 6 = 116°

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Step-by-step explanation:

The data is written wrongly. The correct data is:

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Answer:

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Step-by-step explanation:

We need to find Mean, Median, Mode and Range of data given in tables.

1) Mean

The formula used to calculate mean is: $Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}$

The data given is: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

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Finding mean:

$Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{132}{21}\\Mean=6.28$

So, Mean = 6.28

2) Median

The formula used to calculate median is: $Median=\frac{n+1}{2}\:th\: term$ because we have n = odd

Number of data points n = 21

Putting values and finding the position of median term

$Median=\frac{n+1}{2}\:th\: term\\Median=\frac{21+1}{2}\:th\: term\\Median=\frac{22}{2}\:th\: term\\Median=11\:th\:term$

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So, Median = 7

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The mode is the most repetitive value of data set.

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The most repetitive value is 8

So, Mode = 8

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The range can be calculated using formula: $Range=Maximum\:Value-Minimum\:Value$

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Maximum value = 9

Minimum value = 3

So, the range is:

$Range=Maximum\:Value-Minimum\:Value\\Range=9-3\\Range =6$

So, Range = 6

3 0

3 years ago

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