Question

Idk how to do this. Someone please help. This is a Geometry Honors class

Answer 1

Since BE and CD are parallel, triangles ABE and ACD are similar, meaning their side lengths are proportional.

AC = AB + BC = 1 + 3.5 = 4.5

The proportion of AB to AC (corresponding sides of two similar triangles) is 1 / 4.5

Let x be the variable that represents the unknown length of AE

The proportion of AE to AD (another set of corresponding sides of two similar triangles) is x / 18

Since the triangles are similar, these two proportions must be equal.

1 / 4.5 = x / 18

Cross multiply

4.5x = 18

Divide both side by 4.5

x = 4

The length of AE is 4, no need to round since the answer is already a whole number.

Let me know if you need any clarifications, thanks!

Answer 2

Answer:

4.0

Step-by-step explanation:

AB / AC = AE / AD

1 / 4.5 = AE / 18

4.5 AE = 18

AE = 4.0