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Let us have a triangle ABC and a point D on BC such that BD=DC=DA. If angle ABC=50 then how many degrees are in angle ACB?

Angle ACB = 40 degrees

Better answer below.....

F/g = 1  / ( x (sqrt(x+3))    So you SHOULD be able to see x cannot = 0

    And  x has to be greater than -3   because the sqrt would be neg if less than  -3    or zero if equal to -3 (zero in denominator not allowed)    

so domain x = (-3, 0)  U  (0, +inf)      Does not include -3     or 0   And goes to inf

DDDD₁₄  = 13  +   13x14     +     13x 14^2    +    13 x 14^3 = .......

.04 x    +    .10 (56000-x) = 3200    Solve for x , the 4% amount     Then 10% amount = 56000-x

thanks guys! but wait asinus,,,shouldn't it be 2.78 *10^8 if you want to write it in scientific notation ?

Rewrite the equations as:

a^2 + 2ab = 104/3

b^2 + 2bc = 7/9

c^2 + 2ac = -7

Add them up:

a^2 + b^2 + c^2 + 2ab + 2bc + 2ac = 256/9

But a^2 + b^2 + c^2 + 2ab + 2bc + 2ac =  (a + b + c)^2

so  (a + b + c)^2 = 256/9

hence |a + b + c| = 16/3

Ah. Was my answer right though? Because it seems a little too simple...

• Final score = (40*96 + 60*87)/(40 + 60) = 90.6

n = 0

n< 1 so f(0) = n-1 or f(0) = -1

n = 1 so f(1) = n-1 or f(1) = 0

n = 2

n>1 so f(2) = n^3 + 2n -1 or f(2) = 2^3 + 2*2 - 1  so f(2) = 11

I'll let you add them up..

From isosceles triangles, angle ACB = 50 degrees.

A   It will take 4 times longer = 24 hours

B  it takes   4 p x 6h =  24 people hours to paint a house

                 24 p-h / 3 p = 8 hours  for 3 people 

5b + 4f = 3076

8b + 6f = 4828     Multiply first equation by -1.5

-7.5 b - 6f = -4614   Now add 2nd and 3rd equations.....solve for b     Then sub this value

of b into one of the equations to calculate f

I think you have the h,k backwards in your parentheses....
first equation   (-2-h)^2  +  (0-k)^2 = r2

second equatio (2-h)^2 + (0- k)^2 = r^2
third equation (3-h)^2  + (2-k)^2 = r^2   
    Solve for   h k r

Thank you for your help! 

152 + ?₁ =   180 

   Then when you find '?1   The Other? = 180- ?₁ -114