Question

(practice test help!!)In the image below, DE || BC. Find the measure of EC. Set up a proportion and solve for the measure. Show your work, round to the nearest tenth, and label your answer.

Answer 1

we are given two similar triangles, therefore, we have the following proportions:

`(2)/(9)=(EC)/(AE)`

Solving for EC by multiplying both sides by AE:

`(2)/(9)* AE=EC`

replacing the value of AE:

`(2)/(9)*4=EC`

Solving the operation:

`(8)/(9)=EC`

In decimal notation we get:

`0.9=EC`