CPhill

It would help you to take geno's advice and see if you could figure this out on your own......but.....IF YOU INSIST.....!!!!

(x + 9) ( x+ 2)

And that's w*f.....!!!!   .....or...more to the point ...... wtai ...... [what the answer is ]

Well...my "kar"ma  actually ran  over my "dog"ma, too  !!!!

Looks like everyone has a problem.....!!!!

7/21 isn't going to give you a "whole" number....ever !!!

I suspect you want something in a non-fractional form.......

.333  should do the job, here.....[the 3's actually repeat......forever!!!.....but, we'll call it good at 3 digits  !!! ]

I'm assuming the center of dilation is the origin....if so....the coordinates of the vertices of the new triangle are (-1,2), (0,1) and (1, -2)  ......here's a pic.....

ΔEDF is the dilation of  ΔCAB

Notice that  [A = 90] + [ B = 38] = 128 degrees.

Since  the three interior angles of a triangle measure 180.....angle C must measure the other 52 remaining degrees.  But an angle bisector would cut this in half.....so 1/2 of 52 = 26 degrees.... 

Note the triangle below - not to scale !!!.....  ACD is the angle formed when ACB is bisected...

"ACD" refers to the angle formed by the points ....well....A,C and D in that order....So ACB would be 52 degrees, ACD = 26 and DCB = 26, since angle C is bisected.....  

Does that make sense ???

(6x-12) / (x-2)   =

6(x-2) / (x -2)  =    [the  x - 2 terms "cancel" ]

6

3x/2y * 8y/3z * 5z/4x  =  [ multiplying numerators and denominators ]

[120 xyz]  / [ 24 yzx]     [ note that x y z and y z x  are the same thing].....so they "cancel"....and we have

120 / 24  =

[12 x 10] / [12 x 4 ]     [ the 12s "cancel]  =

10 / 4  =

5 / 2

"Anchor" one person.......then.....there are 7! arrangements= 5040 ways

I assume you want a committee of 3 Republicans and 2 Democrats......

So, we want to choose 3 of 55 Republicans and 2 of 45 Democrats.

So we  have

C(55, 3) * C (45, 2) = 2,5972,650 ways

This is just the difference in the area of two concentric  circles......we have

pi [ 4^2  - 3^2] =

pi [ 16 - 9] =

[7 pi] m^2  = about = 21.99 m^2

Write the 832 without the decimal

Subtract the non-repeating part from this   =  832 - 8 = 824

Write this over a number having the same number of 9's as the repeating part and the same number of 0's as the non-repeating part = 990

So we have     824 / 990  = 412 / 495

Check for yourself that this is equal to   .8323232.......