(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.

practice test helpIn 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 la class=

Respuesta :

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

[tex]\frac{2}{9}=\frac{EC}{AE}[/tex]

Solving for EC by multiplying both sides by AE:

[tex]\frac{2}{9}\times AE=EC[/tex]

replacing the value of AE:

[tex]\frac{2}{9}\times4=EC[/tex]

Solving the operation:

[tex]\frac{8}{9}=EC[/tex]

In decimal notation we get:

[tex]0.9=EC[/tex]