Brainliest for the correct answer!

Step-by-step explanation:

(4z +9) + ( 9y - 2) =180

4z + 9y = 173 Equation 1

The angles of triangle = 180

We miss one angle and in opposite of that angle is 135 so

( 5y +5 +4z +9)+135 = 180

5y + 4z + 149 = 180

5y + 4z = 31 Equation 2

Subtract between two equations 1 & 2

4y = 142

y = 142/4

y = 35.5

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

y=x+9

?

step-by-step explanation: