Question

In square ABCD, AE=3x+5 and BD=10x+2. What is the length of segment AC?

answer choices are....
A.2
B.11
C.22
D.32

Answer 1

D

Answer 2

Thank you !

Answer 3

In a square, the diagonals are the same length. Therefore, AC = BD
BD = 10x + 2 (given). So
AC = 10x + 2
Also AE is half of AC or two times AE = AC
AE = 3x + 5
AC = 2 * AE
10x + 2 = 2(3x + 5)
10x+2 = 6x+10
10x - 6x = 10 - 2
4x = 8
x = 2

So AC = 10x+2 = 10(2) + 2 = 20 + 2 = 22.
Answer: C.

Answer 4

Yea hes right