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3 years ago

WILL MARK BRAINIEST IF CORRECT!

Mathematics

2 answers:

ludmilkaskok [199]3 years ago

8 0

Answer:

Step-by-step explanation:

Median = Middle numbers in terms of value

To find the median we are going to want to list the numbers in order from lest to greatest

17, 23, 30, 54, 61, 81

Now we find the middle number

Because there is an even amount of numbers there will be two middle numbers.

When there are two middle numbers we add them together and divide by 2 to get the median

The two middle numbers are 30 and 54

That being said the median = $\frac{30+54}{2}$

30 + 54 = 84

$\frac{84}{2} =42$

So we can conclude that the median of the number set is 42

melomori [17]3 years ago

3 0

Answer:

Step-by-step explanation:

(30+54)/2 = 42

30+54 = 84

84/2 = 42

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Find the surface area of the rectangular prism. 3 cm 10 cm 7 cm [?] sq cm

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Step-by-step explanation:

There are six faces on the prism:

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3 years ago

8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

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3 years ago