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In triangle(ABC), angle bisectors AX and BY intersect at point I.

--  angle(AIB)  =  109^o.

--  angle(ABI) + angle(BAI)  =  180^o - 109^o  =  71^o 

--  therefore, angle(A) + angle(B)  =  2 · 71^o  =  142^o 

Since angle(A) + angle(B) + angle(C)  =  180^o,  angle(C)  =  180^o - 142^o  =  38^o.

Dan scored a total of 252 points in 28 games; this average is 252/28  =  9 points per game.

Rainn played in 10 fewer games:  28 - 10  =  18 games.

Her average was 0.5 points per game higher than Dan:  9 + 0.5  =  9.5 points per game.

18 games at 9.5 points per game  =  18 x 9.5  =  171 points.

Draw the diagonal DB.

1)  Find the area of triangle(CDB)  =  ½·2·2  =  2

2)  Find the area of triangle(CNM)  =  ½·1·1  =  ½

3)  Subtract the area of triangle(CNM) from triangle(CDB):  2 - ½  =  1½

      This is the area of quadrilateral(NMBD).

the area is 1 1/2 or 1.5 becuase you are basicly divideing it into th halvs of the 4 squares that you made so I got 1/2 or 0.5 and you subtract 1 of those triangles and 2 of the squares so the area is 4-2-0.5=1.5=1 1/2=3/2

That's right since I got 13/850 and he got 2028/132600 which is the same

So we create the equation ((252/28)-0.5)*(28-10) and sthat simplifys to (9+0.5)*18 which when we simplify further we get 9.5*18=171 so the answer is 171

a - b = 144*pi - 16*pi = 128*pi.

Never mind I got the ANSWER- 29/32 

gvcarden you then just substitute a, b, c into b^2 - 4ac.

The distance is the same

rate * time = distance       (using x as the time on the bike)

12 * x   = 36 * (x-1/2)

18 = 24x

x = 3/4    hr            On the bike  for 3/4 hr    =        3/4 hr * 12 m/hr = 9 miles    (one way)           

The discriminant is  b²- 4ac  of the Quadratic Formula (shown below):

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

= 7^x   +  7 * 7^x    +   49 * 7^x   + 343 * 7^x = 2800

= 400* 7^x = 2800

7^x = 7

x = 1

Mary averages 12 mph riding her bike to school.  Averaging 36 mph by car takes her one-half hour less time.  What is the distance to Mary's school?

Given the trinomial 2x2 + 4x − 2, what is the value of the discriminant?

also, explain to me what a discriminant is please.

There is this

13/52 for spades

13/51 for hearts

12/50 for spades

Since one is removed we have 51 cards for the next, 50 for the 3rd

Multiply them.

x = amount of 10%

amount of alcohol   =   .1x         in the 30 l  there is  .5 (30) of alcohol

final alcohol amount will be   .2 (30 + x)

sooooo

.1x      + .5(30) =  .2 (30 + x)    Solve for 'x'   the amount of 10% needed

it makes the equation ((0.1x)+30*50%)/(x+30)=0.2 to get (0.1x+15)/(x+30)=0.2 so x=90

Uhhhh...... Nepal isn't a city....it is a country.   The question asks about the capital city of a country.    BUT....you got the correct answer !

1   +    2*b      +   3b^2 = 57

3b^2 + 2b - 56 = 0    Quadratic formula shows b = 4

67630 becuase it is 3+64+169+...+9604 anyways heres the python code to solve it "   print( 3**2+8**2+13**2+18**2 +23**2+28**2+33**2+38**2+43**2+48**2+53**2+58**2+63**2+68**2+73**2+78**2+83**2+88**2+93**2+98**2.)   "