What is the value of x in a & b?

Mathematics

1 answer:

lina2011 [118]3 years ago

3 0

Answer:

a. x = 9

b. x = 3.6

Step-by-step explanation:

a. By Basic proportionality theorem:

AB/BD = AC/CE

4/4 = x/9

1 = x/9

9 = x

x = 9

$In \: \triangle ABC \: \& \: \triangle EDF\\\angle B \cong \angle D....(given) \\\angle C \cong \angle F.....(given) \\\therefore \triangle ABC \: \sim \: \triangle EDF.. (AA\: POSTULATE) \\\therefore \frac{AB}{ED} = \frac{BC}{DF} ...(csst) \\\therefore \frac{2}{5} = \frac{x}{9}\\\therefore x = \frac{2\times 9}{5} \\\therefore x = \frac{18}{5} \\\huge \red{\boxed {\therefore x = 3.6}} \\$

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