Question

Help!

Answer 1

4 over 3.2 and 6 over 4.8

Answer 2

Answer:

$\frac{4}{10} =\frac{3.2}{8}$

Step-by-step explanation:

Given : AD=4

           DB=6

           AE=3.2

           EC=4.8

           AB=10

           AC=8

Solution :

Theorem :A transversal that is parallel to one of the sides in a triangle divides the other two sides proportionally.

So,

$\frac{AD}{AB} =\frac{AE}{AC}$

$\frac{4}{10} =\frac{3.2}{8}$

$\frac{4}{10} =\frac{32}{80}$

Reduce the fraction both sides by dividing both the fractions with common factor respectively.

$\frac{2}{5} =\frac{2}{5}$

Thus ans in boxes will be $\frac{4}{10} =\frac{3.2}{8}$

This verify that BC ∥ DE.