6. In the diagram, find the value of y that makes b parallel to c.
A778
34)

y = 68

Step-by-step explanation:

For the lines to be parallel, then

78 and 2y - 34 are same- side exterior angles and supplementary, thus

2y - 34 + 78 = 180

2y + 44 = 180 ( subtract 44 from both sides )

2y = 136 ( divide both sides by 2 )

y = 68

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction