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Alexeev081 [22]
3 years ago
8

Find m Give explanation please

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0

Answer:

m < FGN = 88°

Step-by-step explanation:

The exterior angle theorem states that the measure of each <em>exterior</em> angle of a triangle is equal to the <u>sum</u> of the <em>opposite</em> and non-adjacent interior angles (also known as <u>remote interior angles</u>).

Given the exterior angle, m <FGN = (7x + 18)°, and the two remote interior angles, m < E = 38° and m < F = (6x - 10)°:

The following equality statement can be established according to the exterior angle theorem:

m < E  + m < F  = m <FGN

38 + 6x - 10 = 7x + 18

Combine like terms:

28 + 6x = 7x + 18

Subtract 6x from both sides:

28 + 6x - 6x = 7x - 6x + 18

28 = x + 18

Subtract 18 from both sides:

28 - 18 = x + 18 - 18

10 = x

Next, substitute the value of x = 10 into the equality statement to determine whether it is the correct value of x, and to find the measures of < FGE and < F.

m < E  + m < F  = m <FGN

38° + (6x - 10)° = (7x + 18)°

38 + 6(10) - 10 = 7(10) + 18

38 + 60 - 10 = 70 + 18

88 = 88 (True statement).

Therefore, m < FGN = 88°

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gregori [183]

The upper quartile is shown incorrectly in the box plot. So, the third option is correct.

Given

Data values are: 93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86.

Box plot has a minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 89, and a maximum value equal to 94.

<h3>What is the upper and lower quartile?</h3>

The upper quartile is the value of the middle of the second set, where 75% of the values are smaller than Q3 and 25% are larger.

Arrange the data values in ascending order.

74, 74, 83, 83, 83, 86, 87, 90, 92, 93, 93, 94

Divide the data in 4 equal parts.

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The value of the first quartile is;

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=\dfrac{92+93}{2}\\\\=\dfrac{185}{2}\\\\=92.5

And the value of median the given data is;

= \dfrac{86+87}{2}\\\\= \dfrac{173}{2}\\\\=86.5

Hence, the value of the upper quartile in the box plot is 89 which is not equal to 92.5. Thus, the third option is correct.

To know more about the Upper quartile click the link given below.

brainly.com/question/4530105

5 0
2 years ago
Hey yall my best friend lost her dog yesterday day and i made this song for her do yall thing that she will like it???
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Answer:

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Step-by-step explanation:

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Answer:

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Distance covered on the first day  = 1080km

Time of travel  = 10hrs

Rate of travel  = 108km/hr

Time of travel on second day = 12hrs

Rate of travel  = 90km/hr

Time of travel on third day  = 18hrs

Rate of travel  = 60km/hr

Unknown

Average speed  = ?

To find the average speed, we sum the distances and divide by the sum of the time.

  Average speed  = \frac{Total distance}{total time}

we do not know the second and third distances;

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D2  = 90 x 12 = 1080km

D3  = 60 x 18  = 1080km

    Now;

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25/120=0.20833...mile per minute

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