If angle a is 50 degrees and angle b is 2x degrees andangle c is (5y+10) degrees, what is the value of y?

y = 24 - 2x / 5

Step-by-step explanation:

I assume it is a triangle since there is 3 angles.

Triangle's three angles add up to 180 degrees.

So,

> 50 + 2x + 5y + 10 = 180

> 60 + 2x + 5y = 180

We will subtract 60 from both sides, to get rid of 60 in the left side.

> 2x + 5y = 120

To isolate 5y, we will subtract 2x from both sides.

> 5y = 120 - 2x

To isolate y further, we will divide by 5 from both sides.

> y = 120 / 5 - 2x / 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

answer: no, but if it does it's a obvious pattern.

step-by-step explanation: