Question

AC=3(x-5) and BD = x +13

Answer 1

This is the answer
AC=15x. BD= -13

Answer 2

AC = 27 , BD = 27

Explanation:

• the diagonals of a rectangle are congruent , so

AC = BD , that is

3(x - 5) = x + 13

3x - 15 = x + 13 ( subtract x from both sides )

2x - 15 = 13 ( add 15 to both sides )

2x = 28 ( divide both sides by 2 )

x = 14

Then

AC = 3(x - 5) = 3(14 - 5) = 3(9) = 27

BD = x + 13 = 14 + 13 = 27