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Anarel [89]
3 years ago
14

In the diagram below of triangle

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

9514 1404 393

Answer:

  EF = 5

Step-by-step explanation:

<u>Given</u>:

  EF = 6x -31

  BD = 64 -9x

  BD = 2·EF

<u>Find</u>:

  EF

<u>Solution</u>:

  BD = 2·EF

  64 -9x = 2(6x -31) . . . . substitute the given expressions

  64 -9x = 12x -62  . . . .  eliminate parentheses

  126 = 21x . . . . . . . . . . . add 62+9x

  x = 6 . . . . . . . . . . . . . . . divide by 21

Now the length of EF is ...

  EF = 6x -31 = 6(6) -31

  EF = 5

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