Please answer ASAP will mark brainliest!! XŻ bisects The measurement of of X?

x = 57

Step-by-step explanation:

XZ divides <WXY into two equal parts. Which implies that:

m<ZXY = m<ZXW

Therefore:

m<WXY = 2(m<ZXY)

m<ZXY = 58°

m<WXY = 2x + 2

Plug in the values into the equation

2x + 2 = 2(58)

2x + 2 = 116

2x = 116 - 2 (subtraction property of equality)

2x = 114

x = 114/2 (division property of equality)

x = 57

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:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.