Question

ABCD is a rectangle. If AC = 2x + 10 and BD = 56, find the value of x.

Group of answer choices

33

23

78

122
Help!

Answer 1

9514 1404 393

Answer:

  (b)  23

Step-by-step explanation:

The diagonals of a rectangle are the same length, so ...

  AC = BD

  2x +10 = 56

  x +5 = 28 . . . . . divide by 2

  x = 23 . . . . . . . . subtract 5