If ABCD is a rectangle, BD = 2x + 5 and AC = 7x - 40. Find the value of BE.

Question

asked Jul 21, 2021 220k views

1 Answer

Edward Comeau · Answer 1 · 2021-07-25T21:05:38+0000

Answer:

AC = 23

BD = 23

Explanation:

ABCD is a rectangle,

AC and BD are its diagonals.

Diagonals of a rectangle are congruent.

Therefore,

AC = BD

7x - 40 = 2x + 5

7x - 2x = 5 + 40

5x = 45

x = 45/5

x = 9

BD = 2x + 5 = 2*9 + 5 = 18 + 5 = 23

AC = 7x - 40 = 7*9 - 40 = 63 - 40 = 23