Collinear points are points on the same line
The value of DE is 39
How to determine the value of DE
The given parameters are:
AB = 2x + 4
BC= 3x -12
CD = 2x + 4
DE = 5x -21
AE = 119
The length AE is calculated as:
AE = AB + BC + CD + DE
So, we have:
119 = 2x + 4 + 3x - 12 + 2x + 4 + 5x - 21
Collect like terms
2x + 3x + 2x + 5x = 119 - 4 + 12 - 4 + 21
12x = 144
Divide both sides by 12
x = 12
Recall that:
DE = 5x -21
So, we have:
DE = 5 * 12 -21
DE = 39
Hence, the value of DE is 39
Read more about collinear points at:
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