Question

PLEASE HELP! I'VE TRIED BUT ITS STILL NOT RIGHT!

What is AE ?

Enter your answer in the box.


______= units

Answer 1

10 units

Explanation:

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

Cross multiply

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

10x + 60 = 16x + 48

-6x = -12

x = 2

AE = 2(2) + 6 = 10

Answer 2

AE = 10

Explanation:

We have similar triangles. We can take the smaller triangle side over the larger triangle.

ED DC

---------- = -------------

AE AB

x+6 8

---------- = -------------

2x+6 10

Using cross products

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

Distribute

10x+60 = 16x+48

Subtract 10x from each side

10x-10x+60 = 16x-10x+48

60 = 6x +48

Subtract 48 from each side

60-48 = 6x+48-48

12 = 6x

Divide by 6

12/6 = 6x/6

2=x

We want to find AE

AE =2x+6

= 2(2) +6

4+6

10