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It actuall does not seem to be nice Chris.

This is the nicest meaning I can find:

"1. A hostile or argumentative situation or meeting between opposing parties."

The meanings go downhill from there.  

I certainly hope that Roses meant it nicely.

Perhaps she should stick to standard English that we can all understand ....

A great answer Omi and beautifully presented.

I know your answers are always like this and I thank you for all your wonderful contributions :)

This site is very lucky too have you :)

Melody.....

I just want  to learn  what 410  means .....

See my corrected answer....sorry!!!

Hi Roses, welcome to our web2.0 site. 

I hope you learn lots here :)

Angle AED  = angle DEC

angle B  = angle C

So....triangle AEB  similar to triangle DEC

AB /EB  = DC / EC

50 / 20  = 35 /EC

2/5  = EC / 35

(2/5) * 35   =  EC

14  = EC

So 

AE  = AC - EC  = 54 - 14  = 40

So

EC /ED  = EB / AE

14/ ED  = 20 / 40

14/ ED  =   1/2

Which implies that  ED  = 28

Thank you Chris

It says 2 is wrong, can you please help me throug with your answer

angle AEB  = angle DEC

angle B  = angle C

Therefore, by AA congruency, triangle AEB  similar to triangle DEC

Since EC  = 4  and  BE   = 5...the scale factor of triangle DEC  is 4/5 that of triangle AEB

So.... [ CED  ] =  [scale factor of DEC to AEB ]^2  * area of AEB

[CED ]   =     [ 4/5]^2 * 50  =  [16/25] * 50  =  32 units^2  

DC   = 6

So

CE + DE  = 6

2DE + DE  = 6

3DE  = 6

DE = 2

Since DE is parallel to AB  in triangle FAB..then

AB /AF   = DE /DF

6 / [  AD + DF ] = 2 / DF

6 / [ 6 + DF]    = 2 /DF

6DF = 2 [ 6 + DF]

6DF = 12 + 2DF

4DF  = 12

DF = 3

So  angle EDF is right and its area = 1/2  * (DE * DF)  = (1/2)(2 * 3)   = 3 units^2

Thank you Chris

Ok we have:

f(x) = x+1 , xΕ [-2,2] 

and g(x) =  x + 1 , xE [-2,1)

                  1 , x=2

                  -x + 3 , xE(1,4]

So f(g(x)) = (x+1) + 1 , xE [-2,1) 

                   (-x + 3) + 1 , xE (1,2] 

We need around 1 to know the equation of function f(g(x)) because we want lim x->1 

so when lim x -> 1+ f(g(x)) = (x+1) + 1 = 1 + 1 + 1 = 3 

when lim x -> 1- f(g(x)) = (-x+3) + 1 = -1 + 3 + 1 = 2 +1 = 3 so 

lim x -> 1+ = lim x -> 1- = 3 

lim x -> 1 = 3 

Correct answer (C) 

f(x) , g(x) I find the equation of function from graph!

Thank you Chris

Thank you Chris

We can find the radius by using the distance formula between these towo points...so we have...

sqrt [ (2 -1)^2 + (3 - 2)^2  ]  =  sqrt [ 1 + 1]  = sqrt (2)

And the area of the circle =

pi * (radius)^2  =

pi * (  sqrt (2) ) ^2  =

pi * 2  =

2 pi   units^2 

Thank you so much for your help!! I appreciate it very much. I am feeling a little bit better since I napped and had some soup. Have a wonderful day/night!

P.S.  -  hope you get to feeling better  !!!

4. Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes 2 poems by Shakespeare, 5 poems by Coleridge, 4 poems by Tennyson, and 3 poems by Lord Byron. What is the probability that you will be assigned a poem by Coleridge and then a poem by Lord Byron?

We have  14 poems

Prob of Coleridge  = 5/14  =   A

After this....we only have 13 poems from which to choose

Prob of Byron = 3/13

Prob (A and B) =

5/14 * 3/13  =

15 / 182  

3. Suppose you flip a coin and roll a number cube. What is the probability of having tails come up on the coin and an even number on the number cube?

Possibiily of  tails  = 1/2    = A

Possibility of even number  = 1/2  = B

So 

Prob ( A  and B )  = 

(1/2) (1/2)  =  1/4

The slope of the given line = 1/2

A perpendicular line to this has a negative reciprocal slope  =  -2/1  = -2

So....the equation is

(y - 3)  = -2 ( x - 8)

(2+7/20)/(2/5)

First, let's make the mixed number into a fraction.

2(20)+7 = 47

Our improper fraction is 47/20.

Now, we'll divide fractions.

\(\frac{47/20}{2/5}=47/20\times5/2\)

Multiply the tops and bottoms separately.

47*5 = 235

20*2 = 40

The improper is 235/40

If we want to change this to a mixed number, this will take some extra steps.

First, let's simplify. 

Both numbers can be divided by 5.

235/5 = 47

40/5 = 8

Our fraction is 47/8

We can now find whole numbers from this. Dividing 47 by 8 gives us 5 with a remainder of 7.

Our mixed number is 5 and 7/8.

Hope this answer helped!

1. Teesha is in the French club. There are 31 students in the club. The French teacher will pick two students at random to guide visiting students from France. What is the probability that Teesha will be picked as a guide? Hint: Teesha must be picked first or second.

Teesa can be  paired with 30 other students...so...she can appear in 30 possible sets   

The total possible sets = C(31, 2)  = 465

So...the probabilty  that she is picked is   30 / 465  = 2/31

2. What is the probability of rolling a sum of 5 on at least one of two rolls of a pair of number cubes?

A. 1/81  B. 25/1296  C. 2/9  D. 17/81

This equals to   

1  - probability of no 5s  on either roll  

There 4 ways to roll a 5 on one roll....and there are 36 possible outcomes...so 32 of them are not a sum of 5

So...the probability is :

1 - (32/36)(32/36)  =

1 - (32/36)^2  =

17 / 81 

ED  =  (2/3) (20)  =  40/3

ΔABF ~ EDF

AB / BF  = ED / DF

20 / BF  = (40/3) / DF

20 / (40/3)  = BF /DF

60/40 = BF /DF

3/2 = BF /DF

So...there are 5 equal parts to BD  and  BF  is 3 of them...so...

BF   = (3/5)BD

And because  FG is parallel to DC in triangle BDC...then...

FG / BF  = CD /BD

FG / (3/5)BD  = 20 / ( BD)

FG  = (3/5)BD * 20  / BD  =  (3/5) * 20   =  12

Type error my answer for a was correct XDD

Thank you so much once again!!!!!

Welcome aboard, Roses  !!!