Which questions are True or False? 1.) ∡x is supplementary to 105°.

2.) The two angles in a linear pair have a sum of 180°.

3.) Vertical angles have the same measure.

4.) Complementary angles add up to 90°.

5.) ∡x is complementary to 138°.

6.) ∡y is supplementary to 147°.

7.) ∠z is vertical to a 105°angle..

Step-by-step explanation:

1.) ∡x is supplementary to 105°. False

2.) The two angles in a linear pair have a sum of 180°.  True

3.) Vertical angles have the same measure. True

4.) Complementary angles add up to 90°.  True

5.) ∡x is complementary to 138°.       False

6.) ∡y is supplementary to 147°.  True

7.) ∠z is vertical to a 105°angle..  True

Hint: Sum of complementary angles are 90

Sum of supplementary angles are 180.

Vertically angles are equal

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

black lol

step-by-step explanation:

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i can tell you jamal now has 3 cookies xd

tommy has 2.

this made me lol.