In the image below, DE || BC. Find the measure of EC. Set up a proportion and solve for the measure. Show your work and label your answer. Please help me -- I will mark brainliest; If your response is inapropriate, or just a way to get points, it will get reported! Thank you so much !

The missing figure is attached down

The measure of EC is 1 foot

Step-by-step explanation:

Let us revise the cases of similarity

From the attached figure

∵ DE // BC

∴ ∠ADE ≅ ABC ⇒ corresponding angles

∴ ∠AED ≅ ACB ⇒ corresponding angles

In Δs ADE and ABC

∵ ∠ADE ≅ ABC ⇒ proved

∵ ∠AED ≅ ACB ⇒ proved

∵ ∠A is a common angle in the two triangles

∴ Δ ADE is similar to triangle ABC by AAA postulate

From the results of similarity the corresponding sides of the triangles are proportion

∴

∵ AD = 8 feet

∵ DB = 2 feet

∴ AB = AD + DB

∴ AB = 8 + 2 = 10 feet

∵ AE = 4 feet

By using the proportion statement above  

∴

By using cross multiplication

∴ 8 × AC = 10 × 4

∴ 8 AC = 40

Divide both sides by 8

∴ AC = 5 feet

∵ AC = AE + EC

∴ 5 = 4 + EC

Subtract 4 from both sides

∴ 1 = EC

∴ The measure of EC is 1 foot

1,645,493,059.35

step-by-step explanation: