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damaskus [11]
3 years ago
8

A pentagon has angle measures of 12x°, 7x°, 16x°, 9xº, and 10x°. Find the value of x.

Mathematics
1 answer:
8_murik_8 [283]3 years ago
8 0

Answer:

10

Step-by-step explanation:

The sum of all the interior angles of a pentagon is 540°

So...

540 = 12x + 7x + 16x+ 9x + 10x

Combine like terms:

540 = 12x + 7x + 16x+ 9x + 10x

540 = 54x

Divide by 54 on both sides:

540 = 54x

/54     /54

10 = x

Hope this helps :)

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NEED ANSWERS ASAP, 100 POINTS! There are twenty classes at each of two middle schools. The number of students in each class at e
DiKsa [7]

Note: You missed to add the dot plots chart. As I found the chart after a little research. Thus, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.

Answer:

'There are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.

Step-by-step explanation:

From the diagram, it is clear that

The data set containing Poplar Middle School:

20   20   20   21   21   21   21   21   22   22   22   22   22   22   22   23   23   23   23   24  

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

\mu = 435/20

  =\frac{87}{4}

   = 21.75

The data set containing Oak Middle School:

20   21   21   22   22   23   23   23   23   24   24   24   25   25   26   26   27   27   28   29  

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

\mu = 483/20

   =24.15

So, the difference in mean will be:

                                            24.15 - 21.75 = 2.4

Therefore, 'there are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.

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3 years ago
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