laurel876 laurel876
  • 25-03-2021
  • Mathematics
contestada

Figure ABCD is a trapezoid. Find
the value of x.
3x+3
B
13
4x+2
A
D
X = ?

Figure ABCD is a trapezoid Find the value of x 3x3 B 13 4x2 A D X class=

Respuesta :

jimrgrant1 jimrgrant1
  • 25-03-2021

Answer:

x = 3

Step-by-step explanation:

The midsegment is half the sum of the parallel bases, that is

[tex]\frac{1}{2}[/tex] (3x + 3 + 4x + 2) = 13

[tex]\frac{1}{2}[/tex] (7x + 5) = 13 ( multiply both sides by 2 )

7x + 5 = 26 ( subtract 5 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

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