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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
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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

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-example-1
User Holgerwa
by
8.1k points

1 Answer

7 votes
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
User Horatius
by
7.8k points
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