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my name is elizabeth

yesssssssssssss.... it issssssssssssss....

Good job

We see that \(BAGELS\) have points \(B, A, G, E, L, S\) and that \(S, E, A\) are evenly spaced. Therefore, since the points are evenly spaced they form an equilateral triangle.

You are very welcome!

:P

Can you prop them up like a tent?

Or if you want you can lay one across a corner...then place the other on it to the other side.....(to get to the castle)

No it's 5x for #3

Equilateral triangles have all equal sides and angles.

180 deg is in one triangle and divide it among the 3 sides and you get 60 deg.

So,

5y+10=60

y=10

1. 90 

that's all i know

1 The two labelled angleas are the same measure    so  130 = 8x +50     solve for x

2  Triangles angles add to 180   so   180 = 2x + 3x + 2x       solve for x   angle s = 2x

3 I assume   5x is actually 5y

     angles add to 180 degrees   so     2y+20   +  5y  + 40 = 180     solve for y

4 AC and AB are same length so   2x+23 = 4x+1     solve for x and substitute into  3x-8 to find  BC

1.)

8x + 50 = 130

x = 10

2.)

2x + 3x + 3x = 180

x = 45/2

y = 2x

y=2(45/2)

y=45

V = L x W x H

   =  L x L x (2L)

128 = 2L^3

L = 4 ft

Dimensions are thus   4 x 4 x 8 ft

9pi /4

First, make you can make a good guess of what the missing point is by looking at the graph. (5,-2)

https://www.desmos.com/calculator

The you can see that a radius created here and the intersecting area is essentially an area of a sector, which (1/2) * (r^2) * the angle of the sector.

Each cow gives 3 pints + its position in the line      SO cow 199 gives   3+ 199 = a whopping 202 pints !

The center of the circle is on the 4rth corner of the rectangle (5, -2)  and has radius of 3

  1/4 of the circle is with in the rectangle

area of circle = pi r^2

1/4 of this =  1/4 pi (3)^2 = 9/4  pi = 7.068 sq units

The second choice I think. Graph on this site below and see what the answer is.

https://www.desmos.com/calculator

I think boron chloride.   You sure it isn't  BCl3 = boron trichloride?

Area of square sides   x *x = x^2    and there are 2 of them  so   2x^2   ft^2

rectangular sides        2x * x = 2x^2  and there are two of them = 4x^2    ft^2

area of bottom = x * 2x = 2x^2  ft^2

all added together = 288  ft^2

8x^2 = 288

x= 6 ft

Volume =   length x w x depth

             =   2(6)  * 6  * 6 = 4752 ft^3

Do you want it simplified? It already is. What are you looking for in this expression?

The parent function at x = 0   should be  = 1   it is shifted down TWO to -1

    and at x = 1 it should be 1/3....it is shifted down TWO

So the last choice looks like it...

Thank you 

What about it?

V = h x d x w      volume of the case

22500 = (2.5 w)(1/3 w)(w)

22500 = .83333 w^3

27000 = w^3

w = 30   in           h = 2.5 x 30 = 75 in         d = 1/3 (30) = 10 in

Oh ok, thank you. 

Don't worry about that question, the teacher said to skip it because she meant to remove it. :)

I got the same answer for distance.

Now use the law of cosines AGAIN to find the angle of the resultant (to which you will have to add 32)

830^2 = 684^2 + 1409.67^2 - 2(684*1409.67) cos c

solve for c   then add  32 degrees   to get 55.7 degrees