Quadrilateral ABCD is a rectangle. BD = 6x - 14 and AC = 8x - 20. What is BD?
3
2
4
6
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Answer:
4
Step-by-step explanation:
The diagonals are equal length:
[tex]6x - 14 = 8x - 20\\-2x = -6\\x = 3[/tex]
[tex]BD = 6x - 14\\BD = 6 * 3 - 14\\BD = 18 - 14\\BD = 4[/tex]
The length of diagonal BD in rectangle ABCD is 4 units.
A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal to each other. All the angles of a rectangle measure 90 degrees.
The diagonals of a rectangle are equal to each other.
AC = BD (diagonals of rectangle are equal)
6x - 14 = 8x - 20
2x = 6
x = 3
BD = 6(3) - 14 = 4 units
The length of diagonal BD in rectangle ABCD is 4 units.
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