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MissTica
3 years ago
14

Find the value of DE.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0

Answer:

DE = 5

Step-by-step explanation:

The 3 sides of the triangle are congruent , then

DF = EF , that is

\frac{2}{5} a - 15 = \frac{1}{5} a - 5 ( multiply through by 5 to clear the fractions )

2a - 75 = a - 25 ( subtract a from both sides )

a - 75 = - 25 ( add 75 to both sides )

a = 50

Then

DE = EF = \frac{1}{5} × 50 - 5 = 10 - 5 = 5

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