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Perpendicular bisector in a triangle is a line segment that bisects a side of a triangle at a 90º angle.

1)     ZJ = 65                 ZG = ZH = ZJ

2)     HJ = 2*63 = 126

3)      XC = 8

 4)     BE = 10

I need to explain the answer so how do I find the range looking at the graph

1)   In the diagram, angle U = 30 degrees. Arc XY is 170 degrees, and arc VW is 110 degrees. Find arc WY, in degrees.

Hint:   line segment VY is a diameter of a circle; the sum of arc VX and arc WY is 80 degrees.

∠U = 1/2 ( arcWY - arcVX )

ohh yes sorry I assumed the value was 0 oops

 Arc WY - Arc XV = Angle U = 30 degrees.

Arc WY + Arx XV = 360 - 170 - 110 = 80 degrees.

Therefore, arc WY = (30 + 80)/2 = 55 degrees.

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This is the answer to question #1 from that link; the answer is not correct!!!

Quadrilateral ABCD is an isosceles trapezoid, with bases AB and CD. A circle is inscribed in the trapezoid, as shown below. (In other words, the circle is tangent to all the sides of the trapezoid.) The length of the base AB is 2x, and the length of the base CD is 2y. Prove that the radius of the inscribed circle is sqrt(xy).

r = sqrt( x*y )    or     r² = x*y                   x < r < y

r = 2         x = 1.25          y = r² / x       y = 3.2

Important:     AD = BC = x + y

Proof:        sqrt [( y-x )² + ( 2r )² ] = x + y

                                 4.45 = 4.45  

This is one way to prove it.

hello there!

hi!

i wish i could answer this, but unfortunately i dont know python :(

i think you would have much better luck on Stack Overflow, because this site is mostly for math and science 

Here is a graphical solution:

https://www.desmos.com/calculator/a1zcrvy8vu

$7 / 3hr =   7/3   dollars per hour

c = 7/3 p        or  2 1/3 p       or  2.3333 p

Smallest value of the function will occur at t = -b/2a    where a = 1   b = -9        9/2 = t

    put this value of t into the equation to calculate the minimum value of the funtion which occurs at this time......

Oops! Got sniped! (why can't I type faster?! )

Take a look at EP's post...

Now, think about why 3/5 (which is 0.6) is needed...

As you see, it is the ratio between blue and yellow paint. So, 3/5 of 5 is 3, which means the yellow paint is equal to 3/5th of the blue paint.

Play with some numbers to see how this works!

:)

Oh I get it, they did 3/5 and used b for the answer. 3/5=0.6   y = 0.6b! Sorry for wasting your guyses time. :(

I gave up on the question and looked at the answer. Somehow it was y = 0.6b. I have no idea how they did that.

What throws me off is what they are asking for. Is it an expression, or an equation?

Answers like this tend to be like 2-0.25t, all I know is that all numbers and letters have to be used.

Oh, that makes a lot more sense...(word problems are not my forte!)

y = 3/5 b                perhaps?  

got it! i'm still confused at what they are asking for though....maybe another user could help out?

:)

This is not the answer I'm looking for, but you kinda thought it correctly

hmmm... I tried this problem, and I'm not sure -3 is correct... (but nice work!)

I may not be right either, as I too am a human, but what I think OP (as in taejir, not guest) did wrong was assumed that the quadratic equaled to 0. (also, they aren't asking for the smallest real number, but they instead want a real number for t that makes the quadratic as small as possible.

I see that to get the smallest value for the quadratic, play with numbers from the range 0-9 (becaus 9^2 and 9(9) are the same thing), and see which one brings the smallest value.

This may not be the best or quickest way, but that's all I could think of! 

(or, you could try completing the square? that usually helps finding the minima and maxima)

:)