The areas of the squares formed by the side lengths of the triangles are given for each triangle below. Which triangles are right triangles? Check all that apply. (Figures are not drawn to scale.) 3 squares form a triangle. The squares have areas 6 inches squared, 10 inches squared, 8 inches squared.

4 squares form a triangle. The squares have areas 9 inches squared, 25 inches squared, 16 inches squared.

5 squares form a triangle. The squares have areas 25 inches squared, 169 inches squared, 144 inches squared.

6 squares form a triangle. The squares have areas 7 inches squared, 25 inches squared, 24 inches squared.

7 squares form a triangle. The squares have areas 64 inches squared, 225 inches squared, 289 inches squared.

8 squares form a triangle. The squares have areas 10 inches squared, 26 inches squared, 24 inches squared.

Well, Your best choice will be is B, and D.  

Step-by-step explanation:

Because, Choice B.

9 + 16 = 25

. So, Choice B is the right answer.

Then, Choice D.

64 + 255 = 289. So, Choice D. is the right answer.

Good Luck!~

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.