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x is supplemental to the 56 degree angle = 124 degrees

And y is the same measure as the angle between the 41 and 56 degree angles at the top left. And these three angles sum to 180 degrees. So, y  = 180 - 56 - 41 = 83 degrees.

1.408 g/cm³

In the little triangle on the right containing x, the angle at the top right = 40 degrees because it is equal to the opposite angle in the parallelogram formed by the intersection of the parallel transversals with the double and triple arrows. And the other angle in this triangle = 67 degrees. It's the corresponding angle to the other 67 degree angle formed by the intersection of  parallel transversals with the single and triple arrows. Thus. x = 180 - 67 - 40 = 73 degrees.

And in the lttle triangle at the top....the angle at the bottom right is the vertical angle to the 67 degree angle in the triangle containing x. And the angle at the bottom left of this small triangle is the corresponding angle to the 40 degree angle formed by the intersection of the parallel transversals with the double and triple arrows. So y = 180 - 67 - 40 = 73 degrees, as well.

Well...10% of 30 is 3

So.....5% is 1/2 of that.....

We have a paralleogram

The slope of the line segment from (1,1) to (3,5)  =  the slope of the line segment from (-3,2) to (-1,6) = 2

Thus, these segments are parallel

And the slope of the line segment from (-1,6) to (3,5) = the slope of the line segment from (-3,2) to (1,1) = -1/4

So these segments are also parallel.

And when two parallel transversals intersect another pair of parallel transversals, the quadrilateral formed has opposite sides of equal length. 

Therefore, we have a parallelogram.....a four-sided figure whose oppsite sides are parallel and equal.

Here's a picture......

 P.S.  - if AB = AD, we would have a rhombus but  AD > AB.....

AD = √20     AB = √17

Melody, if we have a plane of equal thickness,  the centroid can be thought of as the "balance point" of the plane. 

you are welcome.

Right right ...  Now I understood it 

Thank you Alan 

Both of these are divisable by 3 so this is what you should do first

$$\frac{813}{753651}=\frac{813\div 3}{753651\div 3}=$$

Or you could just do it on the calculator.  A fraction line is the same as a divide by sign

so just enter   813/753651    into the home page3 calc and you will get

$${\frac{{\mathtt{813}}}{{\mathtt{753\,651}}}} = {\frac{{\mathtt{1}}}{{\mathtt{927}}}} = {\mathtt{0.001\: \!078\: \!748\: \!651\: \!564\: \!2}}$$

so the answer is 1/927

thanks 

$$\frac{25}{1075}=\frac{25\div25}{1075\div 25}=\frac{1}{43}$$

25/1075=1/43, which is 0.02. Hope this helps :)

@@ End of Day Wrap   Sat 21/3/15   Sydney, Australia Time   12:40 am   (really Sunday)  ♪ ♫

A goodday to you all,

Our credits for the last 2 days are CPhill, Genoo3141, civonamzuk, will95237, Gibsonj338, ayJay, alan, Trincent, Rosala, Goldenleaf and MathsGod1.   Thanks all.

Interest posts:

Sun 22/3/15

Finish this question totally but then I think that you should start a new post in your new name :)

y=64      corresponding angles on parallel lines (F shape) 

 The one opposite y in the quadrilateral is 75 degrees because it is corresponding on parallel lines to the other 75.

x+75=180  because they are adjacent and supplementary

x=105        Adjacent because they share a common vertex and a common arm.

                 Adjacent is a normal English word, it means next to, so the property that is adjacent to yours is the one that shares the same fence line.

                  Supplemenary just means that they add to 180.  (because they form a strght line)

----------------

the one opposite the x in the quadrilateral is 111 because it is a corresponding angle to 111 on parallel lines.

The one in the triangle next to it is 180-111=69 because they are adjacent supplementary angles.

the other one in the triangle is 180-125 = 55 because it is an adjacent supplementary angle to 125

y is the 3rd angle in the triangle so  69+55+y=180    angle sum of a triangle

$${\mathtt{69}}{\mathtt{\,\small\textbf+\,}}{\mathtt{55}}{\mathtt{\,\small\textbf+\,}}{\mathtt{y}} = {\mathtt{180}} \Rightarrow {\mathtt{y}} = {\mathtt{56}}$$

Now consider the big triangle.  you can get the top angle because it is adjacent supplementary to 111

and now you can get x from angle sum of a triangle.

See if you can do the other 2 on your own but if you can't post back and I will help.

I might just do posts with the pics incase you need help since I have already copied them. :)

$${\frac{{\mathtt{44}}}{{\mathtt{2.5}}}} = {\frac{{\mathtt{88}}}{{\mathtt{5}}}} = {\mathtt{17.6}}$$

17

Hear, hear Chris!  I agree !!

We are not paid to be mindreaders - oh, I just remembered, we are not paid at all!     LOL

I still have to assimilate what a centroid is exactly.   

Yes, quite a few people live in California, Kitty<3 is one of them, so you are in good company.

Well I understand better now but the questions that iim really struggling at are the ones involving Algebra.

http://imgur.com/i4UbIPQ

Hi again MG1,

I only just saw you question and CPhill has already answered you.  :)

I have found that CPhill useds slightly different language for these than me.  It is a country based difference.  He is from the US and I am from Australia.  So his terms are probably better for you but I will run through it anyway.

1st on top row)

Cointerior angles   (C shaped)  These are supplementary angles which means that they add to 180 degrees

126+x=180

x=180-126

x= 54 degrees

2nd on top row ) 

Corresponding angles  (F shaped)  If you think about it you will see that they are corresponding because they are in the same position.

Corresponding angles on parrallel lines are congruent (the same)

x=113 degrees

last on top row.

Alternate  (z shaped)  if you think about it they zig zag.     Alternate angles are congruent.

x=122

Second row.

I don't have specific names for these I would work them out with 2 of the above ones each.

The first one I would use corresponding then adjacent supplementary.

The answer would be 180-80=100 degrees

the second one I'd use the same, the answer will be 180-136= 44degrees

The third one id do the same, the answer will be 180-61=119 degrees

Try using the Poisson distribution Melody.

The probability of exactly k defects/unit interval, given an average of λ defects/unit interval is given by:

$$p(k;\lambda)=\frac{\lambda^ke^{-\lambda}}{k!}$$

.

I do not know how to get the initial probabiliy for this one.  Can anyone help?