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Can you tell us anything else about the diagram?

Find the number of sides in a regular polygon in which the number of diagonals is equal to four times the number of sides.

Formula for he number of diagonals in a polygon:  n(n-3)/2

Since the number of diagonals is four times the numbe of sides:  n(n - 3)/2  =  4n

-- cross-multiplying:  n(n - 3)  =  8n

                                  n² - 3n  =  8n

                                 n² - 11n  =  0

                                 n(n - 11)  =  0

So, either  n = 0 (impossible) or  n = 11.

Thank you geno3141! This problem seemed hard but your solution helped me figure it out. Thanks once again!

For the second question:  Find the largest x-value for the equation:  x² + y²  =  4x + 4y.

This is the equation of a circle. 

I plan to find the center and radius of the circle by completing the square on both x and y.

x² + y²  =  4x + 4y.      --->     (x² - 4x       ) +  (y² - 4y     )  =  0

complete the square   --->     (x² - 4x + 4)  + (y² - 4y + 4)  =  0 + 4 + 4

                                                  (x - 2)²      +     (y - 2)²      =  8

This is a circle with center  (2, 2)  and radius  sqrt(8).

So, the largest x-value is a distance of the sqrt(8) to the right of the x-value of the center:  2 + sqrt(8)

oh................................

Given two lines, one with a slope of 13/9 and the other with a slope of 1/3, find the slope of the bisector.

According to Wolfram (a very authoritative site), to find this slope, use this formula:

slope  =  [ m₁·m₂ - 1 + sqrt{ (m₁² + 1)·(m₂² + 1) } ]  /  ( m₁ + m₂ )

For this problem:  m₁ = 13/9  and  m₂ = 1/3.

Putting these numbers into the formula:  

  numerator  =  [ (13/9)·(1/3) - 1 + sqrt{ ( (13/9)² + 1 ) · ( (1/3)² + 1 ) }  =  [13/27 - 1 + 50/27 ]  =  36/27

  denominator  =  ( 13/9 + 1/3 )  =  16/9

slope  =  ( 36/27) / ( 16/9 )  =  3/4.

I checked these out using inverse tangent for 13/9, 1/3, and 3/4 and found that they work.

 See here: https://web2.0calc.com/questions/pls-help-due-tmrow_21

(Question answered 2 years ago:))

Arc Length = (θ × π/180) × r

2 = Theta * pi/180 * 6

Divide both sides by 6

1/3 = Theta * 0.01745329

Theta =(1/3) / 0.01745329

Theta =19.1 Degrees.

lolaf

i just mean the specific individuals who had incorrect answers showed no work

If I knew the value of an angle I could work backwards from (n – 2) • 180. 

To obtain the value of an angle, I'm going to have to divide 180 by 13. 

That division doesn't come out even, so I'm stuck there.  Sorry. 

"the guests answers are all wrong" 

Maybe it's impolite to point out that you yourself are a guest. 

_.

i hope you know that i can see your email address

get this man a medal

1      6      11

8      6      4

9      6      3

what a nice excuse, nerdo!

There are a total of 25 permutations which sum up to 12:

The probability is = 25 / 6^3 

Omi67: You made a typo in this calculation:

(2/3) / [1 + 1/3sqrt(5) + 2/3sqrt(2) ] =0.248

She is too lazy to wake up and do her assignments so I have to do her homework and, I am too tired to solve this problem.

I will take a crack at this one:

Since you have 10 numbers and if you made an addition table of 10 x 10 = 100 sums.

I count 6 sums totaling 24. Therefore, the probability is = 6 / 100 =3 / 50

ABCD is a unit square.  E is the midpoint of CD.  What is the radius of the incircle?

The intersection is (x,y) = (4,-7).