megsg2004
megsg2004 megsg2004
  • 21-04-2021
  • Mathematics
contestada

Figure ABCD is a trapezoid. Find
the value of x.
2x
B.
С
15
3x + 10
ya
D
x = [?]

Figure ABCD is a trapezoid Find the value of x 2x B С 15 3x 10 ya D x class=

Respuesta :

jimrgrant1 jimrgrant1
  • 21-04-2021

Answer:

x = 4

Step-by-step explanation:

The mid segment is half the sum of the parallel bases, that is

[tex]\frac{1}{2}[/tex] (2x + 3x + 10) = 15 ( multiply both sides by 2 )

5x + 10 = 30 ( subtract 10 from both sides )

5x = 20 ( divide both sides by 5 )

x = 4

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