MATHEMATICS MIDDLE SCHOOL

If the sum of the interior angles of a polygon equals 2700°, How many degrees are there in each interior angle of given polygon?

Answers

Answer 1
Answer:

Answer:

17 angles

Step-by-step explanation:

(n - 2) * 180 = 2700 degrees - the sum of enterior angles,

where n is the number of angles of the given polygon

(n - 2) = 2700 / 180

n - 2 = 15

n = 15 + 2

n = 17
Answer 2
Answer:

Answer:

17 sides

Step-by-step explanation:

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Maria is making blueberry muffins using a blueberry cake recipe. To make the muffins, she has to divide the cake recipe in half. If the cake recipe calls for 2/3 cup of milk, which expression can Maria use to caluculate how much milk she needs to make the muffins?-A - 1/2 divided by 2/3B - 2/3 x 2C - 2/3 x 1/2D - 2 divided by 2/3
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Which classification best represents a triangle with side lengths 6cm, 10cm, and 12 cm?

Answers

We can sort out this triangle as a scalene triangle, that is, a triangle that has three unequal sides. It is also true that there are no equal angles for this type of triangles. If a scalene triangle has an angle of 90°, then this is called a right triangle. But this is not right triangle. Let's prove it:

We know that the Pythagorean Theorem establishes that:

 c^2=a^2+b^2 \n where \ a \ and \ b \ are \ the \ sides \ and \n c \ is \ the \ Hypotenuse \ that \ is \ always \ the \ greatest \ side

Therefore, we can say that:

a=10cm \n b=6cm \n c=12cm

Accordingly: 

12^2 \neq 10^2+6^2 \therefore \boxed{144 \neq 136}

In fact, this is not a right triangle.

A rectangle has a length of 4 times the width minus 7.The perimeter is 136.Find the width and the length.

Answers


Let the width be x

Therefore Length will be 4x - 7

Formula for perimeter of rectangle is:

2L + 2w = P  (where L is length, w is width and P is perimeter.)

2(4x -7) + 2 (x) = 136

8x -14 + 2x  = 136

8x + 2x  = 136 + 14

       10x  = 150

            x = 150/10

             x = 15

The width is 15

therefore the length will be : 4(15) -7 →  60 - 7 = 53

The length is 53

Simplify. 10/27 divided by 5/9​

Answers

Answer:

2/3

Step-by-step explanation:

According to the question,10/27÷5/9

So we will have to be careful when solving this kind of question

So let's solve

10/27÷5/9

To solve we will have to convert the division to multiplication and during this process the 5/9 will actually change to 9/5

10/27×9/5

If you calculate it well,you will get

2/3

Which means that the final answer is 2/3 since it cannot be solved further

So 10/27÷5/9 gives 2/3

Answer:

2/3   or 0.6

Step-by-step explanation:

Ian picked 5 times as many berries as Michelle. Joe take seven times as many theories as Michelle. Together they picked 208 berries. how many berries did Joe pick? draw a diagram and explain how you found your answer

Answers

x-\ number \ of\ Michelle's\ berries\ny-\ number\ of \ Joe's\ berries\nz-number\ of \ Ian's\ berries\n\nz=5x\ny=7x\nx+y+z=208\n\nx+5x+7x=208\n\n13x=208\ \ \ \ | divide\ by\ 13\n\nx=16\n\ny=16*7=112\n\nJoe\ picked\ 12\ berries.
Ian =x
Michelle=y
Joe=z

5y=x
7y=z
so 5z=35y=7x
5z=7x
208=x+y+z
substitute
x and z to get
208=(5y)+y+(7y) or
208=13 y
divide both sides by 13
michelle picked 16
Joe picked 7 times than Michelle so
16 times 7=112

A bag of chips costs $3.79 including tax. Mr. Connor wants to purchase chips for his class and has a $15 budget. Write an inequality to solve for the number of bags of chips Mr. Connor can purchase with his budget.

Answers

15/3.79 =4 thats how many bags can be purchased

Stuart is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%, what is the sale price of the jeans including tax?a. $21.60
b. $34.56
c. $42.34
d. $44.16

Answers

well first you want to add the sales tax which would be 8% of 40 which is 3.2. So it costs $43.2 without the discount. so then you want to find 20% of 43.2 which is 8.64. So the last step is to subtract 8.64 from 43.2 which is

43.2 - 8.64 = $34.56 is your answer

please mark brainliest if this helped
40$ x .20 or 20% = 8
40$ + 8 = 32$
32$ x .08 or 8% = 2.56 the tax rate
32$ + 2.56 = 34.56$ Price of jeans including tax.
B, is the answer
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