Answer:
Measure of side YX is 22 units.
Step-by-step explanation:
Since ΔVWZ ~ ΔXWY, their corresponding sides will be in the same ratio.

By substituting the values given in the picture in the ratio,


By cross multiplication,
2(3x - 9) = 3(x + 8)
6x - 18 = 3x + 24
(6x -18) + 18 = 3x + 24 + 18
6x - 3x = (3x + 42) - 3x
6x - 3x = 42
3x = 42
x = 
x = 14
m(YX) = x + 8
= 14 + 8
= 22
Therefore, measure of side YX is 22 units.
Answer:
For every 92 cats in the city pound, there are 144 dogs.
OR
For every 144 dogs in the city pound, there are 92 cats
Step-by-step explanation:
You didn't provide the options, so that was my best shot at it.
Answer:
120 degrees
Step-by-step explanation:
Regular hexagon means all the sides are equal
(6-2)(180)=The sum of interior angles of hexagon
=>720 degree
Therefore each angle=720/number of sides
=720/6=120 degree
So let the marked angle in figure be 'x'
And the adjacent equal angles to x, y
So y+y+x=360 [Angle around point=360]
2y+x=360 [but y=120 degree proved]
240+x=360
x=120