Prove the Triangle Proportinality Theorem

Step-by-step explanation:

Given: DE║BC

To prove:

                Statements                           Reasons

1). DE║BC                                   1). Given

2). ∠1 ≅ ∠4, ∠3 ≅ ∠4                2). Corresponding angles theorem

3). ΔADE ~ ΔABC                      3). AA Similarity theorem

4).                                4). Corresponding sides are proportional

5).                   5). Segment addition postulate

6).                   6).

7).                                7). Subtract 1 from both sides

8).                               8). Take the reciprocal of both sides

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42