I need the answer to x. The picture didnt load last time-

x = 20º

Step-by-step explanation:

7x + x + 20 = 180

8x + 20 = 180

8x = 180 - 20

8x = 160

x = 160 / 8

x = 20

Hope that helps!

X=20

Step-by-step explanation:

When you add 7x and the x+20, they total to 180 degrees to form a flat angle so to solves this use equation 7x+x+20=180 to get x=20.

To check: input the 20 into both equations and see if they add up to 180 degrees

7x20=140

20+20= 40

140+40= 180

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