Question

SOLVE FOR X PLEASE HELP LEAVE IN FRACTION AND DECIMAL​

Answer 1

Answer:

$x = \frac{22}{3}$

Step-by-step explanation:

Since both CB and ED intersect AD perpendicularly, we can say they are parallel and that ΔACB is similar to ΔAED from Thales intercept theorem. Now, we can set up a proportion from the definition of similar triangles:

$\frac{AB}{AD} = \frac{BC}{DE}$

We can say that AD = AB + BD(segment addition postulate) and substitute to get AD = 11. Now we can plug in the numbers we have to the proportion:

$\frac{6}{11} =\frac{4}{x}$

We can cross-multiply to get:

$6x = 44$

and divide by 6 to get

$x = \frac{22}{3}$