Question

if segment YB is parallel to segment ZA find the value of x and the length of segment YB

A)x=2/5, YB=3
B)x=2/5,YB=7
C)x=2/3,,YB=3
D)x=2/3,YB=7

Answer 1

your picture does not match the question

Answer 2

http://media.education2020.com/evresources/2091998_d57c08ef-11c6-4629-aacb-66f3d221f46d.png

Answer 3

is it clear that the distance between the two parallel lines is the same, no matter where you measure it?
in other words, YZ= AB

(we could prove the two triangles are congruent and then use corresponding sides of congruent triangles to prove this)

start by writing an equation, know YZ = AB

Answer 4

so 16x-4=4-4x

Answer 5

yes. to solve add +4x to both sides
then add +4 to both sides

Answer 6

so 16x-4+4=4-4x+4

Answer 7

ok you add 4 to both sides.
now simplify on the left side: -4+4 is 0
on the right side you have 4+4 which is 8
16x -4 +4 = 4 -4x + 4
becomes
16x = -4x + 8

now add+4x to both sides
16x+4x = -4x + 4x + 8

the right side has -4x + 4x (which means you have 4 x's take away 4 x's, so 0 x's)
on the left you have 16 x's plus 4 more x's, so 20 x's
20x = 8
to find x, divide both sides by 20
20/20 x = 8/20
or
x = 8/20

now use that to find AZ

Answer 8

YB is the same size as AZ (YB and AZ are opposite sides of a rectangle, we know they are the same size)

Answer 9

btw, x= 8/20 can be simplified by dividing top and bottom by 4
you will get x= 2/5

Answer 10

would it be B