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The sum of two consecutive intergers is 139 find the intergers

aniked [119]

Answer:

69 and 70

Step-by-step explanation:

69 + 70 = 139

69 and 70 are consecutive numbers that add up to 139.

8 0

3 years ago

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Which descriptions are true for all isosceles triangles? Select each correct answer. At least two equal sides No equal sides One

const2013 [10]

Answer:

1) At least two equal sides

2) One pair of equal angles

6 0

2 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.

3 0

2 years ago

There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the

NeX [460]

The probability that the result that is gotten will be a multiple of 3 and 2 will be 2/15.

<h3>How to calculate the probability</h3>

From the information, the spinner has 15 equal areas, numbered 1 through 15.

The multiple of 3 and a multiple of 2 among the numbers will be 6 and 15. Therefore, the probability will be two out of fifteen. This will be 2/15.

Learn more about multiples on:

brainly.com/question/1067440

8 0

2 years ago

Please help. 15 points. Show all work. Thank you.

Sergio039 [100]

The last net has all of the requirements. All you have to do then is count, which means the vertices from the hexagon all add up to 12. The rectangles are supposed to encircle it to make a closed object, which gives it eight faces, hexagons included.

8 0

3 years ago

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