MATHEMATICS MIDDLE SCHOOL

An n-sided polygon has two of its exterior angles measuring 30° and 42°.The remaining exterior angles all measure 16° each. Find the value ot n.​

Answers

Answer 1
Answer:

Answer:

n = 20.

Step-by-step explanation:

The external angles of a polygon add up to 360 degrees. So:

30 + 42 + 16(n - 2)   = 360   where n is the number of sides of the polygon.

16n + 30 + 42 - 32 = 360

16n  + 40 = 360

16n = 320

n = 20.

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The roots of the equation x²-kx+28=0 are alpha (a) and alpha (a) + 3.find the values of k.​

Answers

The possible values of k are -11 and 11

Solution:

Given that equation is:

x^2 - kx + 28 = 0

Roots are:

\alpha\n\n\alpha + 3

To find: value of x

The general quadratic equation is:

ax^2 + bx + c = 0

\text{ Product of roots } = (c)/(a)\n\n\text{ Sum of roots } = (-b)/(a)

From given,

x^2 - kx + 28 = 0

a = 1

b = -k

c = 28

Therefore,

Product\ of\ roots = (28)/(1) = 28

Sum\ of\ roots = (-k)/(1) = -k

Given roots are:

\alpha\n\n\alpha + 3

Therefore,

The two roots are two numbers whose difference is 3 and whose product is 28

Those two roots are 4 and 7 or -4 and -7

Then, sum of roots are:

4 + 7 = 11

-4 - 7 = -11

Therefore, the possible values of k are -11 and 11

How do simplifly? Plz help I don't know how

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You see what can go into what ever number! Then you divide it and see if it comes out evenly! Hope I helped

How do you find unit rate

Answers

Say that you buy 30 apples for $20, you take how many apples there are and divide it by how much they cost, they cost $1.5 per apples (looks like this, Unit/Rate)

PLEASE Answer!!!! What is 14-x=21 what does x equal.

Answers

14-x=21\ \ \ |subtract\ 14\ from\ both\ sides\n\n-x=7\ \ \ |change\ signs\n\n\boxed{x=-7}

check:\n\nL_s=14-(-7)=`14+7=21=R_s

Joe what's to build a fence for his dog Charlie he plans to surround the rectangle to the right with fence. How many feet will he need

Answers

Joe wants to build a fence for his dog Charlie.
The lengths of the perimeter of the rectangle that he plans to surround with fence are as follows:

10 feet + 15 feet + 10 feet + 15 +feet.

The total perimeter area of a rectangle is worked out as follows:
10 + 15 + 10 + 15 = 50 
Therefore Joe needs 50 feet of fencing to totally surround the rectangle with fence. 

Please do number 11 on the packet and explain please

Answers

Okay. You have seven of her hands, and they are all 5/12 of a foot long.
There are two ways to do this: multiply or add, which ever you have been doing in class.
Adding way:  5/12 + 5/12 +5/12 + 5/12 + 5/12 + 5/12 + 5/12 = 35/12  You would need to turn it into a mixed number, which would be 2  11/12
Multiplication way:  7/1 x 5/12 = 35/12, same as 2  11/12.

Hope this helped, and feel free to ask more questions if you need!! (:
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