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From A and C, drop a perpendicular to BD cutting EF at G and H and BD at I and J, respectively.

Then, by similar triangles  AEG = ABI and CFH = CDJ

But, since E anf F are midpoints of AB and CD, and all parts of similar triangles are in the same ratios,  EG = 1/2 of BI and FH = 1/2 of JD. Thus (EG + FH) = 1/2 of (BI + JD).

And AC = GH = IJ    ...thus GH = 1/2(AC + IJ)

Therefore EF = (EG + FH) + GH  =  1/2(BI + JD) + 1/2(AC + IJ) = 1/2(BI + IJ + JD + AC)

But (BI + IJ + JD)  = (BD)

So we have

EF = 1/2(BD + AC) = 1/2(AC + BD)

You are becoming a GeoGebra expert Chris.  

Why doesn't some smart person show their skill and do this with calculus.   

Thank you Alan.  Yes is usual for two half radii to equal 1 radii.  I guess I had a brain freeze  

I am so sorry. i draw my  picture wrong.Thank you for correct me .

Let's work on the 'x" terms, first

Notice that

1x + 99x = 100x

And

3x + 97x = 100x

So, it appears that adding all the x terms pair-wise like this will produce 100x. And we have 25 of them...so 25 x 100x = 2500x

Likewise

2 + 100, 4 + 98, 6 + 96.... all produce 102......and we have 25 pairs of these. So 102 x 25 = 2550

So, the "series" sums to   2550 + 2500x

Correct me if I'm wrong but I think the segment AD is not parallel to the segment BC... they intersect

Also, I do not mean to be rude or anything like that but what is the question you are asking?

I'm not sure of the best way, but I know a few ways that might be able to help you!

♦ Study your notes from class

♦ Try and practice different problems in the book

♦ Talk to your teacher about what you're having trouble with

♦ If you have power hours (study sessions) at your school, you should go to them

♦ You could get a math tudor; it could be your friend, or a paid tudor (or anyone else)

These are the only ones I could think of, I'm sorry if these don't help

f(x) = -9x + 2

Plug in 29

f(29) = -9(29) + 2

Multiply -9 by 29

f(29) = -261 + 2

Add -261 and 2

f(29) = -259

And there's your answer!

Sorry Jillian! I didnt realize you put something here to, I started my answer over an hour ago and then I forgot to finish it :)

When you "fraction bust", you are simply finding a way to get rid of fractions to make it easier for yourself. You find the common denominator, which in this case, would be 6. So you multiply EVERYTHING by 6

x/3 + x/2 = 1

Fraction bust

6(x/3 + x/2) = (1)6

Multiply

6x + 6x = 6

Simplify

12x = 6

Divide by 12 on both sides

x = 6/12

Simplify

x = 1/2

1.5 is 1 1/2 so you would get a different answer. 1.5 is three times 1/2.

merry late christmas

~dogeminer

I Dream of a World Where Chickens can Cross the Road Without Having Their Motives Questioned...

There are different standard forms for different things. You're probably just learning the standard form that is Ax + By = C

Standard Form of a Linear Equation

y = mx + b

Standard Form of a Polynomial

Ex. x⁶ + 4x³ + 3x² - 7

It is where the exponents are greatest to least

Those are only 3 standard forms, and there are a few more I'm pretty sure