Mike1079
Mike1079 Mike1079
  • 03-02-2017
  • Mathematics
contestada

P is the midpoint of DE, DP=3x+2, and DE=10x−12.

What is the length of DP?

Respuesta :

jdoe0001 jdoe0001
  • 03-02-2017
notice the picture
we know DE, or the whole segment is 10x-12
and P is the midpoint
so.. the point P is cutting DE in two equal halves,
namely, DP and PE
so... whatever 10x-12 is, DP is half of that
thus
[tex]\bf DP=\cfrac{DE}{2}\implies 3x+2=\cfrac{10x-12}{2}[/tex]

solve for "x",

how long is DP? well, once you get "x", plug it in 3x+2,
that's how long DP is :)
Ver imagen jdoe0001
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