06-09-2016
Mathematics

Answered

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

2
11
22
32

In the square ABCD, AE = 3x + 5 and BD = 10x + 2. What is the length of line AC? 1. 2 2. 11 3. 22 4. 32 class=

Verified Answer :

HomertheGenius HomertheGenius

15-12-2017

BD = 2 AE
10 x + 2 = 2 ( 3 x + 5 )
10 x + 2 = 6 x + 10
10 x - 6 x = 10 - 2
4 x = 8
x = 8 : 4
x = 2
And the line AC is equal to BD.
AC = 10 2 + 2 = 20 + 2 = 22
Answer:
3. 22

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