Question

If AB is parallel to CD, and CD = 20, BD = 6, DE = 8, what is the length of AB?
a. 31 b.35 c.37 d.38 e.none of these​
please answer this question!

Answer 1

Answer:

Option b. 35 units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

in this problem triangle ABE and triangle CDE are similar by AA Similarity Theorem

so

$\frac{AB}{DC}=\frac{BE}{DE}$

substitute the given values

$\frac{AB}{20}=\frac{14}{8}$

Solve for AB

$AB=\frac{14}{8}(20)$

$AB=35\ units$