Please help me question attached below:)))

Mathematics

1 answer:

atroni [7]2 years ago

8 0

Answer:

D(5, 4), E(14, 7), M(9.5, 5.5)

Step-by-step explanation:

As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB

Find the coordinates of D:

x = 1 + 1/4(17 - 1) = 1 + 4 = 5
y = 5 + 1/4(1 - 5) = 5 - 1 = 4

Find the coordinates of E:

x = 13 + 1/4(17 - 13) = 13 + 1 = 14
y = 9 + 1/4(1 - 9) = 9 - 2 = 7

Find the coordinates of the midpoint M of DE:

x = (5 + 14)/2 = 19/2 = 9.5
y = (4 + 7)/2 = 11/2 = 5.5

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