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Black_prince [1.1K]
2 years ago
9

Work out size of angle x

Mathematics
1 answer:
stiks02 [169]2 years ago
5 0

Answer:

x = 105 degrees.

Step-by-step explanation:

The small polygon is a regular hexagon so each internal angle = 120 degrees while the large polygon is a regular octagon with internal angle =

135 degrees.

So angle x = 360 - ( 120 + 135)

= 360 - 255

= 105 degrees.

Note we use the fomula T = 180( n - 2)  to find total internal angles in an n sided polygon. So for hexagon T = 180(6-2) = 180*4 = 720 so each internal angle in a regular hexagon = 720/6 = 120 degrees.

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The number forty one to the power of negative start fraction two over five end fraction end power can be written in the form sta
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Answer:

66

Step-by-step explanation:

Use the formula for the mean of a set of numbers:

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average = --------------------------------

                     count of numbers

Here we know that the average mark was 68, so we can write:

               

                           75 + 62 + 84 + 53 + x

average = 68 = ----------------------------------

                                           5

or                            274 + x

                  68 = -------------------

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Solving for x, we multiply both sides by 5:     340 = 274 + x.

Subtracting 274 from both sides effectively isolates x:

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- 274    -274

------------------------

  66      =    x

The fifth student's mark was 66.

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