Question

What is AE ? Enter your answer in the box. units:

Answer 1

(2x+6)/10 = (x+6)/8
10(x+6) = 8(2x+6)
10x + 60 = 16x  + 48
6x = 12
x = 2

so
AE = 2(2) +6
AE = 4 + 6
AE = 10

Answer 2

Answer:

AE = 10

Step-by-step explanation:

From the given figure we can see that two triangle ABE and DEC are similar.

Therefore the ratio of corresponding sides are equal

To find the value of x

From figure we get,

ED/AE = CD/AB

(x + 6)/(2x + 6) = 8/10

10(x + 6) = 8(2x + 6)

10x + 60 = 16x + 48

16x - 10x = 60 - 48

6x = 12

x = 2

To find the value of AE

AE = 2x + 6 = (2 * 2 ) + 6 = 4 + 6

AE = 10