Identify m<1, m<2, and m<3!
help me please :,(

angle 1: 51 angle 3: 123, angle 2: 18, angle 4: 39

Step-by-step explanation:

First lets find angle 1: We can see that the triangle already has 2 angles filled in, so remember that triangles are 180 degrees total. Now we take 72+57=129 degrees. Now 180-129=51 degrees that were missing.

Angle 3: angle 57 and angle 3 will add up to 180 degrees, because it is a line. So all we need to do is subtract 180-57=123 degrees.

Angle 2: We see that there is a right angle on that corner, so we already have 72 degrees. Take 90-72= 18 degrees.

Angle 4: We know angles 3 and 2, so add them up: 123+18=141. Triangles add up to 180 degrees, so 180-141=39 degrees for the missing angle.

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

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values