Answer:
x = 3
Step-by-step explanation:
The diagonals of a rhombus bisect each other at right angles, thus
BE = ED, that is
4x + 2 = 3x + 5 ( subtract 3x from both sides )
x + 2 = 5 ( subtract 2 from both sides )
x = 3
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
The given figure is a rhombus, whose diagonal 'BD' is divided in two equal parts by the point 'E'
Given:
[tex]BE= 4x+2\\\\ ED=3x+5[/tex]
[tex]BE=ED[/tex]
[tex]4x+2=3x+5[/tex]
Taking the terms of 'x' to one side and the constant terms to the other side
Subtracting '3x' both the sides
[tex]4x-3x+2=3x-3x+5[/tex]
[tex]x+2=5[/tex]
Subtracting '2' both the sides:
[tex]x+2-2=5-2[/tex]
[tex]x=3[/tex]
