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Illusion [34]
2 years ago
9

What is the value of x and the length of segment DE?

Mathematics
2 answers:
Mandarinka [93]2 years ago
8 0

Answer:

Part 1) x=6.6\ units

Part 2) DE=16.2\ units

Step-by-step explanation:

Part 1) Find the value of x

we know that

Triangles CDF and FDE are similar

therefore

The ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

CD/FD=FD/DE

\frac{5}{9}=\frac{9}{2x+3} \\ \\5*(2x+3)=9*9\\ \\10x+15=81\\ \\10x= 81-15\\ \\10x=66\\ \\ x=6.6\ units

Part 2) Find the length of DE

DE=2x+3

substitute the value of x

DE=2(6.6)+3=16.2\ units

Dahasolnce [82]2 years ago
8 0

Answer:

x = 6.6

Length of  =  16.2 units

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