The port support for a window air conditioning unit forms a triangle and an exterior angle. what is the measure of the exterior angle? the sides are ( 5x - 6) degreesand the other angle is 3x degrees and last angle is 90 degrees

The port support for a window air conditioning unit forms a triangle and an exterior angle. The sides are ( 5x - 6) degreesand the other angle is 3x degrees and last angle is 90 degrees.

The su, of the interior angles of the triangle is 180

( 5x - 6) + 3x + 90 = 180

X= 12, so the angles are 54 and 36

The exterior angle will also form a 180 degree with the interior

Depending which exterior angle

1. ) 180 – 54 = 126

2.) 180 – 36 = 144

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