In the figure shown, segment AB is parallel to segment YZ. If AZ = 42 units, BQ = 8 units, and QY = 28 units, what is the length of segment QZ?
Triangle AQB is similar to Triangle ZQY
Therefore
AQ / QB = QZ / QY Let QZ = x and AQ = 42 - x ......so....
(42 - x) / 8 = x / 28 cross-multiply
28 (42 - x) = 8x
28*42 - 28x = 8x
28*42 = 8x + 28x
1176 = 36x
1176/36 = x = 98/3 = QZ
