List all the multiples of the numbers:
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96
9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99
The least common multiple of 2, 5, 6, and 9 is 90.
TRiangles ABE and ACD are similar because BE and CD are parallel.
Therefore CD / BE = AD / AE
8 / BE = 16 / 10
BE = 8*10 / 16 = 5
Also, 16 / 10 = AC / AB = 20 / AB
AB = 10 * 20 / 16 = 12,5
Perimeter of ABE = 5 + 10 + 12.5
= 27.5 units (answer)
I don’t have any paper near me but on ur graph paper start at the point (1,2) and go up 1 and to the right 3 and make a point. Then go back to point (1.2) and go down 1 and to the left 3. Make a point there and draw a line and u have a graph! Hopefully this helps!
