Question

In the image below, ∠≅∠∠A≅∠A because , and ∠≅∠∠ABE≅∠ , because of the . Therefore △△ABE~ △△ACD by the AA Similarity Theorem. If AB=12, BC=4, EB=7, then DC = . (Round to the nearest tenth)

Answer 1

Answer:

$\begin{gathered} \text{ The measure of angle A is congruent because of the reflexive property of equality} \\ \text{Step-by-step explanation:

The measure of angle A is congruent because of the reflexive property of equality.

For,

[tex]\begin{gathered} Then, if the triangles are similar use proportional relationships:[tex]\begin{gathered} \frac{12}{7}=\frac{16}{x} \\ 12x=112 \\ x=\frac{112}{12} \\ x=9.3 \end{gathered}$