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The sum of the angles in a triangle is 180. 

x + 2x + 3x = 180

6x = 180

x = 30

That would make angle K, 2x = 2(30) = 60

That would also make angle L, 3x = 3(30) = 90

That would make angle KML x = 30 

Since LMN + x= 180 

LMN + x = 180

LMN = 150

That would make LMN 150 degrees. 

I hope this helped. :))

=^._.^=

Is there a picture to go with it?

Remember to split up the shapes. 

Area of rectangle is length * wideth

Area of triangle is heigh * base /2

=^._.^=

Use distance formula twice to find side lengths

WX = sqrt (6^2 +2^2 ) = sqrt 40

WZ = sqrt ( 9^2 +3^2) = sqrt 90

Area = sqrt(40*90) = 60 units²

^{To find the diagonal use distance formula from W to Y}

^{or    sqrt (   sqrt(40)^2 + (sqrt(90)^2 ) =sqrt 130}

\(4y+7y+6+180-116=180\\11y=110\\y=10\\\text{CDE}=4\cdot10=\boxed{40}\)

Case 1: Superball

The probability is 1/10, because you choose 1 out of 10.

Case 2: 2 whites

The probability is 1/C(10,2) = 1/45, because you choose 2 out of 10.

Case 3: 3 whites

The probability is 1/C(10,3) = 1/120, because you choose 3 out of 10.

Adding these, you get 1/10 + 1/45 + 1/120 = 47/360.

At first glance, it appears that none of the letters are the same ....so zero chance

there are a total of   13 + 12 + 5 = 30 marbles

   5 are blue       5 out of 30 =    5/30 = 1/6                as WDPD found !

I found my error 

[ΔA'B'C'] / [ΔABC] = 13 / 1 

Anytime 

It's ok! I got it now thanks.

5 / 13 + 12 + 5 = 5 / 30 = 1/6

so yea.

center the vertex at 0, 0

vertex form becomes

y = a ( x-0)^2  + 0

y = a x^2     now sub in the points given

7 = a (28)^2                   ( 28 is 1/2 of the 56 dimension)

7/784 = a

y = 7/784 x^2

Here is the graph:    (just the graph between the blue dots)

https://www.desmos.com/calculator/iq30nygvng

If you still have trouble, relply to this message.

Its not that hard... If you know what the Median, mode and Average is, you should know this. The average is the sum divided by the number of elements in the set. 

No problem. Yeah it can be confusing sometimes but I guess it probably depends on the sitiuation.

~

It doesn't matter. I have calculated alot of stuff like this and I found out that it  doesn't matter.

Is this 3D?

If the perimeter of a square is 16 inches, then the length of a side is 4 inches!!!

Grains = 2^s-1      where s is the square number 

   so on day 1      2^1-1 = 2⁰  = 1 grain

on the 64^th  square    2⁶³ = 9.22 x 10¹⁸ grains

Value:       

1.1 million =     1.1 x 10⁶

     9.22x10¹⁸ / 1.1x106    *   4.4     =   a lot of dollars        is that price   4.40 dollars / bushel?

                                                    = 3689348815 x 10⁴   dollars

That is incorrect.

D_t   = D_o 2^(t)

100 D_o =  D_o 2^t

100 = 2^t

2= t log 2

t = 6.64 years

Original square perimeter = 8(4 * sin45º) = 16√2

Poptropica,

You are expected to acknowledge your answerers.  It is a normal courtesy.

So please respond to this thread.

S.A. of a sphere (Earth) = 4 pi r_e^2  

   SA of the larger, Fruit  = 100*   4 pi r_e^2   =  (4pi r_f^2)       then    r_f =  10 r_e

Volume of a sphere (Earth)  =   4/3 pi r_e^3

     volume of larger Fruit  = ?

                                                  4/3 pi r_f³ =   4/3 pi (10 r_e)³)      =    1000 *  4/3 pi r_e³      or  1000 times the volume of Earth