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

The value of x in the rectangle problem where AC = 2x + 10 and BD = 56 is found to be 23, after solving the equation 2x + 10 = 56.

Step-by-step explanation:

The student has asked a geometry question involving a rectangle. In a rectangle, the diagonals are congruent, meaning that AC = BD. Given that AC = 2x + 10 and BD = 56, we can set up the equation 2x + 10 = 56. To find the value of x, we subtract 10 from both sides and get 2x = 46. Dividing both sides by 2 gives us x = 23. Therefore, the value of x is 23.

Answer 2

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